when the sample size, n, is increased, but the sample proportion and confidence level remain the same, what happens to the multiplier (z*) for a confidence interval?

Answers

Answer 1

The multiplier (z*) for a confidence level will remain the same, if sample proportion and confidence level is unchanged.

The multiplier of confidence interval is defined as the number of standard errors at the distance from mean. It is dependent on confidence level and sample data distribution.

Confidence levels refers to the certainty of correctness and preciseness of interval. It is expressed as percentage.

The increase in sample size decreases the standard error. Moreover, as the question states, the unchanged values of confidence interval and sample size are there, which makes the multiplier constant.

Learn more about multiplier -

https://brainly.com/question/15883095

#SPJ4B


Related Questions

100 POINTS AND BRAINLIEST!!! please help!! just explaining how to do it would be awesome too!

Answers

Answer:

x = 3, y = -2

Step-by-step explanation:

Rotating a point (x, y) 90° clockwise around the origin will result in the point:

(y, -x)

Applying this to point A:

A = (2, 3)

A' = (3, -2)

x = 3, y = -2

pleaseee help me outt !!!

Answers

Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.

What are alternate interior angles?

Alternate interior angles are a pair of angles that are on opposite sides of a transversal and are located between two lines.

More specifically, alternate interior angles are formed when a transversal intersects two parallel lines. These angles are congruent, which means that they have the same measure or degree of rotation.

In the figure,we can see that ∠F and ∠L are alternate interior angles.

So the angles are ∠F=∠L=67.5

Hence Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.

Read more about angles here:

https://brainly.com/question/25716982

#SPJ1

Solve each inequality given that the function f is increasing over its domain.

Answers

Therefore, the solution to the inequality is: -8 < x ≤ 1 or x = 2. In interval notation, we can write the solution as: (-8, 1] ∪ {2}.

What is inequality?

Inequality is a mathematical statement that compares two quantities or expressions and indicates that one is greater than, less than, or not equal to the other. An inequality is typically expressed using symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to).

Here,

Since the function f is increasing, we know that if x₁ < x₂, then ƒ(x₁) < ƒ(x₂). To solve the inequality, we need to isolate x on one side of the inequality. We'll start by applying the function ƒ to both sides of the inequality:

ƒ(4x − 3) ≥ ƒ(2 − x²)

Since ƒ is increasing, we can apply it to each side of the inequality without changing the direction of the inequality:

4x − 3 ≥ 2 − x²

Next, we'll simplify the right side of the inequality by expanding the square:

4x − 3 ≥ 2 + x²

Now we'll move all the terms to one side of the inequality:

x² - 4x + 5 ≤ 0

We can factor the quadratic expression to get:

(x - 2)(x - 2 + 1) ≤ 0

Simplifying further:

(x - 2)(x - 1) ≤ 0

Now we need to determine the sign of the expression (x - 2)(x - 1) over the domain D = (-8, 4). We can do this by using a sign chart:

x x - 2 x - 1 (x - 2)(x - 1)

-8 -10 -9 +90

-1 -3 -2 +2

1 -1 0 0

4 2 3 -6

We see that (x - 2)(x - 1) is negative (less than zero) over the interval (-8,1) and positive (greater than zero) over the interval (1,4).

To know more about inequality,

https://brainly.com/question/30238773

#SPJ1

hotel pool a hotel owner is trying to calculate how many square feet of fabric he will need to make a pool covering for winter. if the pool is in the shape of a regular hexagon with a side-to-side length of 30 feet, how many square feet of fabric will the owner need to construct the cover? round to the nearest square foot.

Answers

The hotel owner needs approximately 2,248 square feet of fabric to make a pool covering for the winter for their regular hexagonal pool with a side-to-side length of 30 feet.

To calculate the area of the pool, we first need to find the apothem (the distance from the center of the hexagon to the midpoint of any side). For a regular hexagon, the apothem is equal to the side length times the square root of 3 divided by 2. So, the apothem of this hexagonal pool is:

apothem = 30 × √3/2 = 25.980762

The area of a regular hexagon is given by the formula:

area = 3 × √3/2 × apothem^2

Substituting the value of the apothem, we get:

area = 3 × √3/2 × 25.980762^2 = 2247.72

Rounding this to the nearest square foot, the hotel owner will need approximately 2,248 square feet of fabric to construct the cover for the pool.

To know more about hexagon pool:

https://brainly.com/question/23568234

#SPJ4

Explain using the change of base formula and evaluating the change of base formula

Answers

Log b b an is defined as [logc c a] / [logc c b] in the base-change formula. A base of a logarithmic may utilize any (same) constant value as it's basis, therefore to change the base, we just divide [log a] by [log b].

What does log signify in the workplace?

Activity logs keep track of the time you and your staff spend on particular tasks. It is a thorough record of a tasks, the date, and the amount of time it took to perform each activity.

What other names exist for log?

Log: The opposite of exponentiation in mathematics is the logarithm function. The logarithm is described as a power in which an integer must be increased in order to obtain another number, or, put another way, as a power.

To know more about log visit:

https://brainly.com/question/28642232

#SPJ1

does the interval covering the middle 95% of the new bootstrap estimates include n? if you ran that cell 100 times and generated 100 intervals, how many of those intervals would you expect to include n?

Answers

The value of n cannot be included in any of the intervals generated by the bootstrap method. The number of intervals including n depends on the distribution of the estimates and the true value of n.

As the value of n is fixed and is not a result of any estimation or sampling process, it cannot be included in any of the intervals generated by the bootstrap method. Therefore, none of the intervals covering the middle 95% of the bootstrap estimates would include n.

However, as the bootstrap method is a resampling technique, the estimates generated by it can vary from sample to sample. Therefore, the number of intervals covering the middle 95% of the bootstrap estimates that include n would depend on the distribution of the estimates and the true value of n.

In general, if the estimates are centered around the true value of n, we would expect a higher number of intervals to include n. Conversely, if the estimates are more dispersed, we would expect a lower number of intervals to include n. Without further information about the estimates, it is difficult to provide a more specific answer.

Learn more about Intervals :

https://brainly.com/question/11180472

#SPJ4

The complete question is :

Suppose you have performed a new bootstrap estimate on a dataset with n=50 and generated 100 intervals covering the middle 95% of the estimates. Does any of these intervals include n? Also, how many of these intervals would you expect to include n?

nikolas is suspected of a crime and is asked to take a polygraph test. although he is innocent, what are the chances that he will be falsely accused?

Answers

The chances that Nikolas will be falsely accused in a polygraph test are dependent on the accuracy of the test and the criteria used to determine guilt or innocence.

Polygraph tests, also known as lie detector tests, are controversial and have varying degrees of accuracy. The accuracy of a polygraph test depends on many factors, including the expertise of the administrator, the type of test administered, and the physiological response of the individual being tested.

Furthermore, the criteria used to determine guilt or innocence based on the results of a polygraph test can vary. In some cases, a single inconclusive result may be enough to exonerate an individual, while in other cases, a single positive result may be enough to accuse an individual.

It is not possible to provide a specific numerical probability for the chances of Nikolas being falsely accused in a polygraph test.

Learn more about Polygraph tests

https://brainly.com/question/31024936

#SPJ4

A (2, -4, -3) point is taken.
A. Find the distance from point A to the 0yz
V. Find the distance from point A to the 0x
S. Write the coordinates of point A which is symmetric with respect to the 0yz plane.
D. Write the coordinates of point A which is symmetric about the 0z axis.​

Answers

To solve these problems, we can use the distance formula and the concept of symmetry.

A. The distance from point A to the 0yz plane is simply the absolute value of the x-coordinate of point A. Therefore, the distance is:

|2| = 2

So the distance from point A to the 0yz plane is 2 units.

B. The distance from point A to the 0x axis is simply the distance between point A and its projection onto the 0x axis, which is the point (2, 0, 0). Therefore, the distance is:

√[(2-2)^2 + (-4-0)^2 + (-3-0)^2] = √(16 + 9) = √25 = 5

So the distance from point A to the 0x axis is 5 units.

C. To find the coordinates of point A which is symmetric with respect to the 0yz plane, we simply need to negate the x-coordinate of point A. Therefore, the symmetric point is (-2, -4, -3).

D. To find the coordinates of point A which is symmetric about the 0z axis, we simply need to negate the y and x coordinates of point A. Therefore, the symmetric point is (-2, 4, -3).

What to numbers should be between to show the time Sara sat down to eat?Explain how you know

Answers

If Sara sat down to eat at 6:45 pm, the two numbers to show the time range would be 6 and 7 because 6:45 pm is between 6:00 pm and 7:00 pm.

To determine the two numbers that should be between to show the time Sara sat down to eat, follow these steps:
1. Identify the given time:

Look for the time mentioned in the question or context.

Since the time is not provided, we cannot provide specific numbers.
2. Determine the range:

Find the nearest hour before and after the given time.

These two hours will be the numbers to show the time range.

For similar question on range.

https://brainly.com/question/29301169

#SPJ11

how many cubes, with side measures of 2 cm, will fit inside a right rectangular prism with dimensions of 6 cm by 8 cm by 4 1 2 cm? group of answer choices 24 108 54 27

Answers

Answer:

Using the volume formula we know that (B) 27 cubes can be fitted into the right rectangular prism.

What is the right rectangular prism?

The right rectangular prism has four rectangle-shaped side faces and two parallel end faces that are perpendicular to each of the bases.

Parallelograms make up the sides of an oblique prism, a non-right rectangular prism.

A cuboid is yet another name for a right rectangle prism.

So, the volume of the right rectangular prism:

V = wlh

Insert values:

V = wlh

V = 6*8*4.5

V = 216cm³

Now, the volume of the cube:

V = a³

V = 2³

V = 8cm³

Then, the number of cubes that can be fitted in the right rectangular prism:

216/8 = 27

Therefore, using the volume formula we know that (B) 27 cubes can be fitted into the right rectangular prism.

Know more about the right rectangular prism? here:

brainly.com/question/3317747

#SPJ1

Correct question:

How many cubes, with side measures of 2 cm, will fit inside a right rectangular prism with dimensions of 6 cm by 8 cm by 4 1/2 cm?

Group of answer choices

a. 24

b. 27

c. 108

d. 54

The final answer is 27

To determine how many cubes will fit inside the right rectangular prism, we need to find the volume of the prism and the volume of the cubes, then divide the volume of the prism by the volume of the cubes.

Volume of a cube (V_cube) = side^3
V_cube = 2 cm * 2 cm * 2 cm = 8 cubic cm

Volume of the right rectangular prism (V_prism) = length * width * height
V_prism = 6 cm * 8 cm * 4.5 cm = 216 cubic cm

Now, divide the volume of the prism by the volume of the cubes:
Number of cubes = V_prism / V_cube = 216 cubic cm / 8 cubic cm = 27 cubes

Therefore, 27 cubes with side measures of 2 cm will fit inside the right rectangular prism.

To know more about cubes visit : https://brainly.com/question/28134860

#SPJ11

In this picture, m∠XOZ = 78° and m∠YOZ = 40°. If m∠XOY = (5x + 16)°, what is the value of x?
A.
20.4
B.
2.2
C.
38
D.
4.4

Answers

The value of x is 4.4, option D is correct.

Define the term angles?

A geometric figure called an angle is made up of two rays that end at the same point, called the vertex. Radians or degrees are used to measure angles.

Given the value are;  

∠XOZ = 78°, ∠YOZ = 40° and ∠XOY = (5x + 16)°,

See the figure, according to that

∠XOZ = ∠YOZ + ∠XOY

put the values,

78 = 40 + (5x + 16)

78 - 40 - 16 = 5x

22 = 5x

22 / 5 = x

4.4 = x

Therefore, the value of x is 4.4 option D is correct.

To know more about angles, visit:

https://brainly.com/question/1309590

#SPJ1

Find Cos α, find x, and find perimeter

Answers

Answer:

1. x ≈ 15,73

P = 104,96

.

2. x ≈ 50,51

P = 136,26

.

3.

[tex] \cos( \alpha ) = \frac{ \sqrt{3} }{3} [/tex]

P 24,88

Step-by-step explanation:

1.

Use trigonometry:

[tex] \cos(70°) = \frac{x}{46} [/tex]

Cross-multiply to find x:

[tex]x = 46 \times \cos(70°) ≈15.73[/tex]

In order to find the perimeter, we have to know all three side lengths of the triangle

Let's find the third one by using the Pythagorean theorem:

[tex] {bc}^{2} = {ab}^{2} - {ac}^{2} [/tex]

[tex] {bc}^{2} = {46}^{2} - ({15 .73})^{2} = 1868.5671[/tex]

[tex]bc > 0[/tex]

[tex]bc = \sqrt{1868.5671} ≈43.23[/tex]

Now, we can find the perimeter (the sum of all side lengths):

P = AB + BC + AC

P = 46 + 43,23 + 15,73 = 104,96

.

2.

[tex] \tan(29°) = \frac{28}{x} [/tex]

[tex]x = \frac{28}{ \tan(29°) } ≈50.51[/tex]

[tex] {ab}^{2} = {ac}^{2} + {cb}^{2} [/tex]

[tex] {ab}^{2} =( {50.51})^{2} + {28}^{2} = 3335.2601[/tex]

[tex]ab > 0[/tex]

[tex]ab = \sqrt{3335.2601} ≈57.75[/tex]

P = 57,75 + 28 + 50,51 = 136,26

.

3.

[tex] \cos( \alpha ) = \frac{ac}{ab} [/tex]

[tex] \cos( \alpha ) = \frac{6}{6 \sqrt{3} } = \frac{ \sqrt{3} }{3} [/tex]

[tex]p = 6 + 6 \sqrt{2} + 6 \sqrt{3} ≈24.88[/tex]

How many four letter code words can be formed from the letters in the word "MIRAGE" if no letter is repeated, and the second-to-last letter must be a vowel?​

Answers

Answer:

180

Step-by-step explanation:

6 different letters.

we need to pick groups of 4.

no repetitions, but the sequence matters (code words), as e.g. RAGE is different to GEAR, although they contain the same letters.

so, we need basic permutations (instead of combinations) :

P(6, 4) = 6! / (6 - 4)! = 6! / 2! = 6×5×4×3 = 360

that is simply because regularly we would have 6 choices for the first letter, then 5 for the second, 4 for the third, and 2 for the fourth letter.

the second to the last letter is the second letter from the left in a 4-letter word.

so, we have 3 vowels for that second position.

normally, such a restriction would mean

6×3×4×3 = 216 possibilities.

but we have to distinguish the 2 cases that we pick a vowel for the first position - or not.

if not, we have 3 consonants for the first, 3 vowels for the second position as options.

if yes, we have 3 vowels for the first and 2 vowels for the second position.

that means we get

3×3×4×3 + 3×2×4×3 = 108 + 72 = 180

possibilities.

this makes also sense, when we simply say that this restriction eliminates half of our possible permutations (all with a consonant in the second position) : 360/2 = 180.

Surface of cone
9ft
11ft

Answers

Assuming that the "9ft" and "11ft" refer to the dimensions of a right circular cone, we can find the surface area of the cone using the formula:

A = πr² + πrl

where r is the radius of the base of the cone, l is the slant height of the cone, and π is approximately equal to 3.14.

To find the radius and slant height, we can use the Pythagorean theorem.

Let's assume that 9ft is the height of the cone, and 11ft is the slant height.

Then, we have:

r² + 9² = 11²

r² + 81 = 121

r² = 40

r ≈ 6.32 ft

Now that we have the radius and slant height, we can find the surface area of the cone:

A = πr² + πrl

A = π(6.32)² + π(6.32)(11)

A ≈ 199.3 square feet

Therefore, the surface area of the cone is approximately 199.3 square feet.

2. Lucy opens a savings account with $300 that pays 2.45% interest compounded quarterly.
Part A. Write an equation to represent the balance of Lucy's saving account after tt years.
Part B. How much money will be in Lucy's savings account after 15 years?
3. Felipe signs up for a new airline credit card that has 24% annual interest rate. If he doesn't pay his monthly
statements, interest on his balance would compound daily. If Felipe never pays his statements for a full year, what
would be the actual percentage rate he would pay the credit card company?

Answers

Part A: The formula for the future value of an investment with compound interest is given by:

A = P(1 + r/n)^(nt)

Where: A = the future value of the investment P = the principal investment amount r = the annual interest rate (as a decimal) n = the number of times the interest is compounded per year t = time in years

For this situation, P = $300 r = 2.45% = 0.0245 (since the interest rate is given as an annual rate, we need to divide it by 100 to convert it to a decimal) n = 4 (since interest is compounded quarterly) t = time in years

Therefore, the equation to model this situation is:

A = 300(1 + 0.0245/4)^(4t)

Part B: To find the value of the account after 15 years, we can simply substitute t=15 into the equation:

A = 300(1 + 0.0245/4)^(4*15) = $476.78

Therefore, the amount of money in the account after 15 years is $476.78.

To calculate the actual percentage of interest that is charged when interest is compounded daily, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where: A = the amount of money owed after one year P = the initial amount owed r = the annual interest rate (as a decimal) n = the number of times the interest is compounded per year t = time in years

In this case, Felipe didn't pay his monthly statements, so we can assume that the balance owed increased each day. Therefore, we should use n = 365 (the number of days in a year) in the formula. Also, since r = 24%, we should use r = 0.24 in the formula. Finally, t = 1, since we are looking for the amount owed after one year.

Using the formula, we get:

A = P(1 + r/n)^(nt) = P(1 + 0.24/365)^(365*1) = P(1.0028)^365 ≈ P(1.34)

Therefore, if Felipe doesn't pay his statements for a full year, the actual percentage he gets charged is approximately 34% (or 0.34 as a decimal).

Answer:

if Felipe never pays his statements for a full year, he would end up paying an actual percentage rate of approximately 471.7% per year (4.717 times the initial balance).

Step-by-step explanation:

Part A:

Let P be the principal amount (initial deposit) of $300

Let r be the annual interest rate of 2.45% = 0.0245

Since the interest is compounded quarterly, we need to divide the annual interest rate by 4 to get the quarterly rate:

i = r/4 = 0.0245/4 = 0.006125

Let n be the number of quarters in t years. Since there are 4 quarters in a year, we have:

n = 4t

The formula for compound interest is:

A = P(1 + i)^n

Substituting the given values, we get:

A = 300(1 + 0.006125)^(4t)

Part B:

We want to find the balance in Lucy's savings account after 15 years, so we substitute t = 15 into the equation:

A = 300(1 + 0.006125)^(4t)

A = 300(1 + 0.006125)^(4×15)

A = 300(1.006125)^60

A ≈ $464.25

Therefore, Lucy's savings account will have approximately $464.25 after 15 years.

If Felipe never pays his statements for a full year, the interest would compound daily, so we need to use the formula for daily compounded interest, which is:

A = P(1 + r/n)^(nt)

where:

P is the principal (starting balance) on the credit card

r is the annual interest rate (24%)

n is the number of times the interest is compounded per year (365 for daily compounding)

t is the time in years (1 year)

Substituting the values, we get:

A = P(1 + r/n)^(nt)

A = P(1 + 0.24/365)^(365×1)

A = P(1.0006575)^365

A ≈ 4.717P

Therefore, if Felipe never pays his statements for a full year, he would end up paying an actual percentage rate of approximately 471.7% per year (4.717 times the initial balance).

A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.


Ice Cream Candy Cake Pie Cookies
81 9 72 36 27


Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
The college will have about 640 students who prefer cookies.
The college will have about 1,280 students who prefer cookies.
The college will have about 1,440 students who prefer cookies.

Answers

Answer:

The college will have about 480 students who prefer cookies.

Step-by-step explanation:

We Know

The table shows the preference of 225 students.

Ice Cream, Candy, Cake, Pie, Cookies

81              , 9         , 72    , 36,   27

Which statement is the best prediction about the number of cookies the college will need?

We Take

4000 / 225 ≈ 17.78

Then we take

27 x 17.78 = 480.06 cookies

So, The college will have about 480 students who prefer cookies.

The graph represents a relation where x represents the independent variable and y represents the dependent variable.

a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma negative 1, at 0 comma 2, at 1 comma 3, and at 5 comma 1

What is the domain of the relation?

{−5, −2, −1, 0, 1, 5}
{−5, −2, −1, 0, 5}
{−5, −2, 0, 2, 3}
{−2, −1, 0, 1, 2}

Answers

The dοmain οf the relatiοn is the set οf all x-values that appear in the graph, which is {-5, -2, -1, 0, 1, 5}.

What are the dοmains?

In mathematics, the dοmain οf a functiοn is the set οf all pοssible input values fοr which the functiοn is defined.

The dοmain οf the relatiοn is {-5, -2, -1, 0, 1, 5}.

This is because the x-values οf the given pοints are -5, -2, -1, 0, 1, and 5, and there are nο οther x-values indicated in the graph.

Hence, the dοmain οf the relatiοn is the set οf all x-values that appear in the graph, which is {-5, -2, -1, 0, 1, 5}.

To learn more about domains, Visit

https://brainly.com/question/26098895

#SPJ1

Which technique is most appropriate to use to solve each equation? Drag the name of the technique into the box to match each equation. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. x² + 4x = 15 2x(x−3)=0

Answers

We use factoring to solve the first Equation, x² + 4x = 15, and use the zero product property to solve the second equation, 2x(x−3)=0.

For the first equation, x² + 4x = 15, we can use the quadratic formula or completing the square technique to solve it. However, since the equation is already in standard form, we can use factoring to solve it. By rearranging the equation, we get x² + 4x - 15 = 0. This can be factored as (x + 5)(x - 3) = 0. Therefore, the solutions are x = -5 and x = 3.

For the second equation, 2x(x−3)=0, we can use the zero product property to solve it. This property states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. Therefore, we have 2x = 0 or x - 3 = 0. Solving for x, we get x = 0 or x = 3. These are the solutions to the equation.

In summary, we use factoring to solve the first equation, x² + 4x = 15, and use the zero product property to solve the second equation, 2x(x−3)=0.

To Learn More About Equation

https://brainly.com/question/2972832

SPJ11

which of the following statements about pearson's correlation coefficient is true? group of answer choices it cannot be used with a binary variable (those taking on a value of 0 or 1). it can be used as an effect size measure. it varies between 0 and 1. it can be used on ranked data.

Answers

The true statement regarding Pearson's correlation coefficient is that it can be used as an effect size measure.What is Pearson's correlation coefficient?Pearson's correlation coefficient is a statistic that measures the strength and direction of the linear relationship between two quantitative variables.

It is a measure of the linear correlation between two variables, which ranges from -1 to 1. Pearson's correlation coefficient can be used to examine the degree of relationship between two continuous variables.

When it comes to Pearson's correlation coefficient, the following statements are correct:It can be used as an effect size measure.It can be used on ranked data.It cannot be used with a binary variable (those taking on a value of 0 or 1).It varies between -1 and +1.

Learn more about Pearson's correlation:

https://brainly.com/question/31009525

#SPJ11

Simplify: 6 (3a + 7)
Response
9a+7

18a + 42

18a + 13

9a + 13

Answers

Answer:

[tex]\large\boxed{\tt 18a+42}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to simplify the given expression.}[/tex]

[tex]\textsf{Per similar problems, we should use the \underline{Distributive Property}.}[/tex]

[tex]\large\underline{\textsf{What is the Distributive Property?}}[/tex]

[tex]\boxed{\begin{minipage}{25 em} \\ \underline{\textsf{\large Distributive Property;}} \\ \\ \textsf{Distributive Property is a property that allows us to multiply the term to the left of the parentheses into the terms inside the parentheses.} \\ \\ \underline{\textsf{\large Example;}} \\ \tt a(b+c)=ab+ac \\ \textsf{Per this example, a will multiply with the terms b and c.}\end{minipage}}[/tex]

[tex]\large\underline{\textsf{Simplifying the Expression;}}[/tex]

[tex]\textsf{For our given expression, let's use the Distributive Property.}[/tex]

[tex]\underline{\textsf{Use the Distributive Property;}}[/tex]

[tex]\tt 6 (3a + 7) \rightarrow (6 \times 3a) + (6 \times 7) \rightarrow \large\boxed{\tt 18a+42}[/tex]

Hello and greetings AtticusR9000.

Therefore, the solution of exercise 6(3a+7) is 18a+47.Being correct, the first option.

Step-by-step explanation:

To solve this exercise, we apply the distributive property, which is a mathematical rule that establishes that the multiplication of a number by the addition or subtraction of two or more numbers is equal to the addition or subtraction of the multiplication of that number by each of the numbers. that are being added or subtracted. In other words, if we have three numbers a, b and c, then the distributive property can be written as:

a × (b + c) = (a × b) + (a × c)

or also as:

a × (b - c) = (a × b) - (a × c)

This means that the multiplication of the number "a" can be distributed through the addition or subtraction of the numbers "b" and "c" to obtain the same result as if "a" were multiplied by "b" and "a" by "c" and then add or subtract the results. The distributive property is fundamental in mathematics and is used in numerous algebraic and arithmetic operations.

Now we solve by applying the distributive property:

a × (b + c) = (a × b) + (a × c)

6(3a + 7) = (6 × 3a) + (6 × 7)

18a + 42

Therefore, the solution of exercise 6(3a+7) is 18a+42.

ヘ( ^o^)ノ\(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:

https://brainly.com/question/23860551

the length of time needed to complete a certain test is normally distributed with mean 62 minutes and standard deviation 8 minutes. find the probability that it will take less than 74 minutes to complete the test.

Answers

The Probablity that the exam will be finished in under 74 minutes is 0.9332, or roughly 93.32%. By standardising the provided data to the standard normal distribution, which has a mean of 0 and a standard deviation of 1, we can use the standard normal distribution to address this issue. 

The formula: can be used to accomplish this. z = (x - μ) / σ where x equals the number that is provided (74 minutes), equals the mean (62 minutes), and equals the standard deviation. (8 minutes). z = (74 - 62) / 8 z = 1.5

The chance that a standard normal random variable is less than 1.5 can then be determined using a calculator or a chart of the standard normal distribution. The likelihood is roughly 0.9332.

Therefore, the likelihood that the exam will be finished in under 74 minutes is 0.9332, or roughly 93.32%.

To know more about Probablity-

brainly.com/question/30034780

#SPJ4

a researcher reviews study data about head circumference in newborns and notes that study personnel are measuring from the end of the measuring tape and not from the zero point, which is 1 cm from the end. this is an example of which type of measurement error? group of answer choices reliability indirect random systematic

Answers

This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an

example of systematic measurement error.

In the given scenario, the researcher reviews study data about head circumference in newborns and notes that study

personnel are measuring from the end of the measuring tape and not from the zero point, which is 1 cm from the end.

This is an example of systematic measurement error.

Systematic measurement error refers to a consistent deviation from the true value in a particular direction in a series of

measurements.

This error is also referred to as bias. In the given scenario, the personnel are measuring from the end of the measuring

tape and not from the zero point, which is 1 cm from the end.

This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an

example of systematic measurement error.

for such more question on systematic measurement error

https://brainly.com/question/14149934

#SPJ11

The mass of a red blood cell is about 2.7 X 10−112.7 X 10 −11 grams. There are about 2.5 X 10132.5 X 10 13 red blood cell in a human body. What is the total mass, in grams, of the red blood cells in a human body? Express your answer in standard form

Answers

Answer:

6.75 x 10^2 g

Step-by-step explanation:

Mass of Red Blood Cells

The mass of a red blood cell is about 2.7 X 10−112.7 X 10 −11 grams. There are about 2.5 X 10132.5 X 10 13 red blood cell in a human body. What is the total mass, in grams, of the red blood cells in a human body? Express your answer in standard form

To find the total mass of red blood cells in a human body, we need to multiply the mass of one red blood cell by the total number of red blood cells in the body:

Total mass = (mass of one red blood cell) x (total number of red blood cells)

Total mass = (2.7 x 10^-11 grams) x (2.5 x 10^13 red blood cells)

Multiplying these two numbers gives:

Total mass = 6.75 x 10^2 grams

In standard form, this is:

Total mass = 6.75 x 10^2 g

What is the value of M, N, P?

Answers

According to the similarity rule, the required values are:

M = 25.2 units

∠N = 9.0°

∠P = 10.0°

What is the similarity rule?

Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.

One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

Triangles are similar if they have two of the same angle type, or AA (Angle-Angle).

Triangles are identical if they have two sets of proportional sides and equal included angles, or SAS (Side-Angle-Side).

So, here we have two similar figures.

First, observe the pattern of the sides of the figure.

Then, we know that:

M = 25.2 units

And in the angles:

∠N = 90/10 = 9.0°

∠P = 100/10 = 10.0°

Therefore, according to the similarity rule, the required values are:

M = 25.2 units

∠N = 9.0°

∠P = 10.0°

Know more about the similarity rule here:

https://brainly.com/question/30104127

#SPJ1

I need help solving this. If some can please help me with these few math questions I’d very much appreciate it.

Answers

Here’s the work since you have to show it

The answer is A

Suppose that the dollar value v (t) of a certain car that is t years old is given by the following exponential function
v (t) = 24,500 (0.84)^t

Answers

The requried initial value and value after 10 years of car are $24500 and $4285

The given exponential function is:

[tex]V(t) = 24500(0.84^t)[/tex]

To find the initial value of the car, we need to evaluate V(0):

V(0) = 24500(0.84⁰)
       = 24500(1)
       = 24500

Therefore, the initial value of the car is $24,500.

To find the value after 10 years, we need to evaluate V(10):

V(10) = 24500(0.84¹⁰)
        ≈ $4285

Therefore, the value of the car after 10 years is approximately $4285.

Learn more about exponential function here:

https://brainly.com/question/14355665

#SPJ1

Find the mean

Round to the nearest tenth
16, 0, 16, 7, 4, and 3

(In order: 0, 3, 4, 7, 16, 16)

Urgent I’ve been on this problem for 2 hours already

Answers

The answer is 8,
actual answer is 7.66.. rounded to the nearest 10th is 8

discuss how a test plan should account for the presence of systematic and random errors. include calibration, randomization, and repetition in your discussion.

Answers

In your test plan, include the number of repetitions you will perform and a method for analyzing the data to account for random errors.

A test plan should account for the presence of systematic and random errors through the following steps:

1. Calibration: Calibration ensures that the instruments used in the experiment are accurate and consistent. By calibrating the equipment, you can minimize the impact of systematic errors on your results. Start your test plan by ensuring all instruments are calibrated and their measurements are reliable.

2. Randomization: Randomization is the process of randomly assigning subjects or samples to different experimental conditions. This helps to eliminate any potential bias or systematic errors caused by the arrangement of the experiment. In your test plan, make sure to include a method for randomizing the experiment to minimize the effect of systematic errors.

3. Repetition: Repeating the experiment multiple times can help reduce the impact of random errors. By performing the experiment multiple times and averaging the results, you can minimize the influence of random errors on your findings.

for such more question on random errors

https://brainly.com/question/10218601

#SPJ11

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

They are both circles and alighn well

Can somebody please help me? :(

Answers

Thus, the solution of the given inequality is found as: n > 4.86. The graph is plotted.

Explain about the inequality:

When two parameters are equal, we use the sign "=," and when they aren't equal, we use the symbol "," meaning refers for "not equal." The first value may be greater than (>), less than (<), greater than equal to (≥), or less than equal to (≤) the second value if the two values are not equal.

Given inequality:

1.9(2.3n + 6) + 10.45 > 43.7

Subtract each side by 10.45

1.9(2.3n + 6) + 10.45 - 10.45 > 43.7 - 10.45

1.9(2.3n + 6) > 33.25

Divide each side by 1.9

1.9(2.3n + 6) / 1.9 > 33.25/1.9

2.3n + 6 > 17.5

Subtract both sides by 6

2.3n + 6 - 6 > 17.5 - 6

2.3n > 11.5

Now, divide each side by 2.3

2.3n/2.3 > 11.5/2.3

n > 4.86

Thus, the solution of the given inequality is found as: n > 4.86.

As, n must be great then 4.86, value of 4.86 is not take for n.

The graph is plotted.

Know more about the inequality

https://brainly.com/question/25944814

#SPJ1

Correct question:

1. Solve 1.9(2.3n + 6) + 10.45 > 43.7 . Then graph the solution.

Other Questions
the macon company uses the high-low method to determine its cost equation. the following information was gathered for the past year: machine hours direct labor costs busiest month (june) 15,000 $225,000 slowest month (december) 5,000 $133,000 what are the direct labor costs per machine hour? Which of the following is true about the General Assembly? consists of about half of the members in the United Nations and votes on issues such as borders and budgets it is a group of neutral citizens that vote and pass requirements in their nation. consists of all members of the UN and makes recommendations on important issues such as peace and security it is an assembly of neutral citizens that brings order to the meetings of the UN What is the frequency of the sinusoidal graph? a rigid, circular metal loop begins at rest in a uniform magnetic field directed away from you as shown. the loop is then pulled through the field toward the right, but does not exit the field. what is the direction of any induced current within the loop? the restatement of agency defines a person who contracts with another to do something for him, but is not controlled by him nor subject to the other's right to control with respect to his physical conduct in the performance of the undertaking, as a(n): blank . The Venn diagram shows below the number of customers in a restaurant who ordered a starter or a dessert. A customer is picked at random. If they ordered a dessert, what is the probability that they did *not* order starter? Give your answer as fraction in its simplest form. Why is Christ's judgment perfect? cullen is in a small group focusing on a project for work. the group is currently cooperating and members are able to compromise while discussing the problem at length. which decision-making phase is the group in? orientation conflict emergence reinforcement Geometry Please hurryHow do you see it? The diagram shows part of the Wheel of Theodorus. Which of the following events caused Europeans to realize the full scope of the wider world? Consider a triangle ABC like the one below suppose that C equals 32 vehicles 44 and C equals 27 the figure is not drawn to scale solve the triangle James puts about 60 gallons of gas in his car everymonth. Currently the gas prices is $3.50 per gallon.Calculate how much he spends on gas each monthand put it in the spreadsheet. Find the value of x.please answer according to mcclelland, the extent to which a person is concerned with being liked and having others get along well with one another is called . In terms of morality, which do you believe is more important -- the intention of an action or the consequences of an action? Explain, using the ethical reasoning of Kant or utilitarianism to support your view. Share an example that illustrates your point. Make sure you fully demonstrate that you understand the theory you are using. 9.8 Rahul and Rajesh were asked to subtract 4x - 5 from x + 3x - 5. Their solutions are given below Rahul: (x + 3x - 5)-(4x-5)=x + 3x-5-4x+5=x-x Rajesh: (x + 3x - 5) - (4x - 5) = x + 3x-5-4x-5=x-x-10 Who solved the problem correctly and what was the mistake made by the other? certain anticancer drugs prevent disassembly of the mitotic spindle, which prevents spindle fibers from shortening. which phase of mitosis would these drugs directly affect? why would this prevent cell division and lead to cell death? ou enter a patient's room to collect a blood specimen and find another health care worker talking with the patient about proper diet for her medical condition. this health care worker is most likely a: multiple choice Review the paragraph that begins on page 5 and continues to page 6. Which statement BEST explains the impact of Roosevelt's presentation of ideas in this paragraph? PLEASE HELP I NEED THIS CODE TO PASS!!!! PLEASE PLEASE HELP