what is the sum of 14, 12, 8, and 6

For the drug used to treat asthma in a clinical trial:

Part 1:

The test is right-tailed because the alternative hypothesis is that less than 9% of treated subjects experienced headaches.

Part 2:

The test statistic is z = 0.64, rounded to two decimal places (given in the calculator display).

Part 3:

The P-value is 0.7401, rounded to four decimal places (also given in the calculator display).

Part 4:

The null hypothesis is Upper H₀: p ≥ 0.09. We conclude that there is not sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.

Part 5:

We fail to reject the null hypothesis because the P-value is greater than the significance level, α=0.01.

Part 6:

The final conclusion is: D, There is not sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.

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Answer:

To find the coordinates of the point of intersection between the two lines, we can solve the system of equations by elimination or substitution. Here, we will use the elimination method.

First, we will multiply the first equation by 10 and the second equation by 4, in order to eliminate the y term:

- 70x + 40y = 230

- 32x - 40y = 76

Adding these two equations, we get:

- 102x = 306

Dividing both sides by 102, we get:

- x = 3

Now we can substitute this value of x into either equation to find the value of y. Using the first equation:

- 7(3) + 4y = 23

- 21 + 4y = 23

- 4y = 2

- y = 1/2

Therefore, the point of intersection is (3, 1/2).

Answer:

Step-by-step explanation:

The solution of the inequality, log₂ 2m > log₂ (m + 5) is {m | m > 5 / 2}.

An inequality is an expression that have <, >, ≤ and ≥ . Therefore, let's solve the logarithmic inequality for the variable m.

Hence,

log₂ 2m > log₂ (m + 5)

Therefore, let's divide both sides by log₂.

Hence,

2m > m + 5

subtract m from both sides of the inequality

2m > m + 5

2m - m > m - m + 5

2m > 5

divide both sides by 2

2m / 2 > 5 / 2

Therefore,

m > 5 / 2

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Assuming the interest is compounded continuously what interest rate to the nearest hundredths of a percent would be required in order for Jamar to end up with $4200 is 4.62%.

Using the formula r = ln(A/P) / t, the interest rate, r, can be determined using an online finance calculator as follows:

Total P+I (A) = $4,200.00

Principal (P) = $2,200.00

Compound (n) = Compounding Continuously

Time (t in years) = 14 years

R = 4.619% per year

The calculation steps are as follows:

Solving for rate r as a decimal

r = ln(A/P) / t

r = ln(4,200.00/2,200.00) / 14

r = 0.0461877

Then convert r to R as a percentage:

R = r * 100

R = 0.0461877 * 100

R = 4.62%/year

Thus, the interest rate required to get a total amount of $4,200.00 from compound interest on a principal of $2,200.00 compounded continuously over 14 years is 4.62% per year.

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The area, in square inches, of the label needed to cover the face of the box is 96 in².

Option A is correct.

We must first determine the length and breadth of the rectangle before multiplying them together to determine the area of the rectangular face.

The distance between the x-coordinates of two opposite points determines the length of the rectangle:

length equals 3 - (-5) = 8.

The distance between the y-coordinates of the same two opposite points determines the rectangle's width:

width = 8 + (-4) = 12

In conclusion, the rectangle's size is: 8 × 12 = 96 square inches is the area formula.

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a) The coordinates of the vertex C' are C'(x, y) = (5, 5).

b) The length of the side A'B' is equal to 4.

In this problem we find the case of a right triangle, whose image must be found by a kind of rigid transformation known as dilation. The dilation formula for a vertex is introduced below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

k - Dilation factor

O(x, y) - Center of dilation

P(x, y) - Original vertex

P'(x, y) - Resulting vertex

And the dilation formula for a formula is:

L' = k · L

Where:

L - Original length.

L' - Resulting length.

Please notice that side lengths can be found by Pythagorean theorem.

we know that O(x, y) = (2, 9), k = 1 / 2, A(x, y) = (6, 7), B(x, y) = (10, 7) and C(x, y) = (6, 1), then the resulting vertices and sides are:

C'(x, y) = (2, 9) + (1 / 2) · [(6, 1) - (0, 9)]

C'(x, y) = (2, 9) + (1 / 2) · (6, - 8)

C'(x, y) = (2, 9) + (3, - 4)

C'(x, y) = (5, 5)

And the length of the side A'B' is:

AB = 8

A'B' = (1 / 2) · AB

A'B' = 4

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we should expect 4 white horses among the next 20 horses that come to board. we can solve by equation .

what is equation ?

An equation is a mathematical statement that uses symbols and variables to show that two expressions are equal. It typically consists of two sides separated by an equal sign (=). The expressions on each side of the equal sign can contain variables, constants, and mathematical operations such as addition

In the given question,

Out of the 15 horses currently boarded, 3 are white. This means that the proportion of white horses among the currently boarded horses is:

3 / 15 = 0.2 or 20%

Therefore, if we assume that the next 20 horses that come to board will have a similar distribution of coat colors, we can expect approximately 20% of them to be white.

So, the expected number of white horses among the next 20 horses that come to board is:

20 x 0.2 = 4

Therefore, we should expect 4 white horses among the next 20 horses that come to board.

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Answer:

3. radius = 9.4

4. radius = 22.6

5. diameter = 13.3

Step-by-step explanation:

The diameter of a circle = 2 * radius

For problem 3 and 4,  you need to multiply the given radius by 2 to get the diameter.

For problem 5, you need to divide the diameter by 2 to get the radius.

The Ferris Wheel can carry 2100 passengers on a total of 35 rides.

According to the question,

Number of cars in the Ferry Wheel = 15

Number of passengers in each car = 4

∴ Number of passengers in 15 cars = 15×4 = 60

So, the number of passengers on the Ferry Wheel = 60

Now,

The number of passengers the Ferry Wheel carries in one ride = 60

∴ The number of passengers in 35 rides = 60×35 = 2100.

Hence the Ferris Wheel can carry 2100 passengers on a total of 35 rides.

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The statement that analyzes difference between an irrational number and a rational number is: the expression √25 - √21 can be rewritten as 5 - √21. since the exact value of √21 cannot be found, the difference is irrational, The Option D is correct.

A rational number refers to number that can be expressed as the ratio of two integers where the denominator is not zero. For example 1/2, 3/4, and -5/7  all rational numbers.

Irrational number refers to one that cannot be expressed as a ratio of two integers. Examples include pi (π) and the square root of 2 (√2).

The difference is that one is expressed as a ratio of two integers or a decimal that either terminates or repeats other cannot be expressed as a ratio of two integers and have a decimal representation that does not terminate or repeat.

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Leslie's initial investment was $500 and the quarterly interest rate the account earns is 10.4%.

To find the initial investment and quarterly interest rate we can use the following compound formula of

A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]

Given expression =[tex]500(1.026)^{4t}[/tex]

principal P = $500

rate of interest r = 1.026

A) Leslie's initial investement A = [tex]500 (1.026) ^{0}[/tex] = 500        [ initially time t = 0]

B) for finding quarterly interest,

given expression =[tex]500(1.026)^{4t}[/tex]

                             =[tex]500(1 + 0.026)^{4t}[/tex]

                             = [tex]500(1 + 0.026 * 4/4)^{4t}[/tex]

                             = [tex]500(1 + \frac{0.104}{4} )^{4t}[/tex]

From the above expression, we can conclude that the quarterly interest is 0.104 which is 10.4%

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Therefore, the range of the relation shown is (1, 3, 4, 6, 7). Option C is the correct answer.

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range) with the property that each input is associated with exactly one output. In other words, a function is a rule that assigns a unique output value to each input value. Functions are used to model relationships between variables in many areas of mathematics and other fields such as physics, engineering, economics, and computer science. They are used to describe various phenomena, such as the growth of populations, the trajectory of a projectile, or the behavior of financial markets. Functions are also important tools in calculus, where they are used to study rates of change and continuity, among other things.

Here,

The range of a relation refers to the set of all possible output values or y-values of the relation. Looking at the image reference, we can see that the y-values or the outputs are 1, 3, 4, 6, and 7.

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Answer: b is correct

Step-by-step explanation:

Answer:

B) There is no absolute max for y=f(x)

Step-by-step explanation:

There is no absolute max as the function increases infinitely

However there is an absolute minimum at x=0

Answer:

r=1

Step-by-step explanation:

The Pearson correlation coefficient is used to measure the strength of a linear association between two variables, where the value r = 1 means a perfect positive correlation and the value r = -1 means a perfect negataive correlation. So, for example, you could use this test to find out whether people's height and weight are correlated (they will be - the taller people are, the heavier they're likely to be).

The next number in the sequence would be 25 + 4 = 29.

First off, we rearrange these numbers in ascending order and this gives us:

3 9 15 18 20 22 25

Next, we try and find the pattern:

The pattern seems to be adding consecutive odd numbers starting from 3.

3 + 6 = 9

9 + 6 = 15

15 + 3 = 18

18 + 2 = 20

20 + 2 = 22

22 + 3 = 25

Therefore, the next number in the sequence would be 25 + 4 = 29.

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crack the code

09, 15. 18. 20, 22, 25, 03

Find the next number

Check the picture below.

Answer:

b

Step-by-step explanation:

edge 2023

Jordan's account balance at the end of the month would be $143.85.

What is the basic arithmetic operations?

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

To determine Jordan's account balance at the end of the month, we need to add up the deposits and withdrawals to the initial balance.

Initial balance: $92.66

Deposits: $7.72 + $70.42 + $107.46 = $185.60 (sum of positive amounts)

Withdrawals: -$84.26 + (-$50.15) = -$134.41 (sum of negative amounts)

To calculate the account balance at the end of the month, we can add the deposits and withdrawals to the initial balance:

Account balance at the end of the month = Initial balance + Deposits - Withdrawals

= $92.66 + $185.60 - $134.41

= $143.85

Hence, Jordan's account balance at the end of the month would be $143.85.

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Answer:

To calculate the amount you would need to deposit in the account now, we can use the formula for compound interest:

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

where A is the amount you will have after 15 years, P is the principal amount (the amount you need to deposit now), r is the annual interest rate (7%), n is the number of times the interest is compounded per year (12 for monthly compounding), and t is the time in years (15).

Plugging in the values, we get:

2000 = P(1 + 0.07/12)^(12*15)

Simplifying the right side, we get:

2000 = P(1.00583)^180

Dividing both sides by (1.00583)^180, we get:

P = 2000 / (1.00583)^180

P = $775.80 (rounded to the nearest cent)

Therefore, to have $2000 in the account in 15 years with an annual interest rate of 7% compounded monthly, you would need to deposit $775.80 now.

The average height of the bean plants in Mr. Anderson's class after 7 days is approximately 7.41 centimeters.

Height (in centimeters) Frequency

   0 - 3           |     5

   4 - 6           |    10

   7 - 9           |    15

  10 - 12          |     7

  13 - 15          |     3

To find the average height, we can follow these steps:

Determine the midpoint of each height range.

Multiply the midpoint of each range by the frequency.

Add up the products from step 2.

Add up the frequencies.

Divide the sum from step 3 by the sum from step 4.

Step 1: Determine the midpoint of each height range.

Height Range Midpoint

0 - 3    |    1.5

4 - 6    |    5

7 - 9    |    8

10 - 12 | 11

13 - 15 | 14

Step 2: Multiply the midpoint of each range by the frequency.

Height Range Frequency Midpoint Midpoint x Frequency

0 - 3    |     5     |    1.5   |         7.5

4 - 6    |    10     |    5     |         50

7 - 9    |    15     |    8     |        120

10 - 12 | 7 | 11 | 77

13 - 15 | 3 | 14 | 42

Step 3: Add up the products from step 2.

7.5 + 50 + 120 + 77 + 42 = 296.5

Step 4: Add up the frequencies.

5 + 10 + 15 + 7 + 3 = 40

Step 5: Divide the sum from step 3 by the sum from step 4.

296.5 / 40 = 7.4125

The average height of the bean plants in Mr. Anderson's class after 7 days is approximately 7.41 centimeters.

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The students in Mr. Anderson's class are growing bean plants from seeds. The heights of the plants are measured after 7 days and recorded in the histogram below.

What is the average height of the bean plants in Mr. Anderson's class after 7 days?

Using interval notation, the domain of f.g and f+g is [1/4, ∞).

Given, f(x)= 1/ (5x² + 3) and [tex]g(x) = \sqrt{4x-1}[/tex]

To find f.g, we substitute g(x) into f(x) and simplify:

f.g(x) = f(g(x))

[tex]=f(\sqrt{4x-1})[/tex]

[tex]=\frac{1}{5(\sqrt{4x-1})^2 +3}[/tex]

= 1/(5(4x-1)+3)

= 1 / (20x - 2)

To find f+g, we add the functions f(x) and g(x):

f+g(x) = f(x) + g(x)

= [tex]\frac{1}{5x^2+3}+\sqrt{4x-1}[/tex]

The domain of f.g and f+g is the intersection of the domains of f(x) and g(x).

The domain of f(x) is all real numbers except for the values of x that make the denominator zero, i.e., 5x² + 3 = 0. This equation has no real solutions, so the domain of f(x) is all real numbers.

The domain of g(x) is the set of all real numbers that make the argument of the square root non-negative, i.e., 4x - 1 ≥ 0. Solving this inequality, we get x ≥ 1/4.

Therefore, the domain of f.g and f+g is x ≥ 1/4.

Using interval notation, the domain of f.g and f+g is [1/4, ∞).

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Answer:

$52.50

Step-by-step explanation:

1500 * 3.5% = 52.50

Answer:

$52.5 for the first year

Step-by-step explanation:

You can derive a decimal from a percentage by dividing by 100.

For example, 1% is 0.01

3.5% is 0.035

You can also move the decimal point back 2 places, but that's cringy.

So the problem says how much interest she will have to pay after one year, when the interest rate is 3.5%.

Therfore, we must multiply:

1500 by 3.5%

We stated that 3.5% is 0.035, so we can replace that

1500 * 0.035

Plug that into a caluclator and we get.....

$52.5 for the first year

ANSWER CHOICE 1

Phew! That was a long problem! May I please have Brainliest?

The transformation in the function y = -1/3f(x + 4) - 5 is described below

From the question, we have the following parameters that can be used in our computation:

y = f(x)

The transformed function g(x) is given as

y = -1/3f(x + 4) - 5

The sequence of transformation on the transformed function is as follows

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a. The missing probability is 0.112

b. The expected number of classes passed is 3.38.

c. Is it unusual for an average student to pass at most 2 classes in a given semester is 0.211

a. Since the whole of all probabilities must rise to 1, we are able to discover the lost likelihood by subtracting the whole of the given probabilities from 1:

1 - 0.001 - 0.098 - 0.175 - 0.419 - 0.195 = 0.112

Subsequently, P(X=2) = 0.112.

b. The anticipated number of classes passed can be found by increasing each possible value of X by its particular likelihood, and after that summing the items:

E(X) = 0(0.001) + 1(0.098) + 2(0.112) + 3(0.175) + 4(0.419) + 5(0.195)

= 3.38

Hence, the anticipated number of classes passed is 3.38.

c. To decide in case it is bizarre for an average student to pass at most 2 classes in a given semester, we have to calculate the likelihood of passing at most 2 classes:

P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)

= 0.001 + 0.098 + 0.112

= 0.211

Since this likelihood is more noteworthy than 0.05 (i.e., the commonly utilized threshold for determining whether an occasion is unordinary), it isn't abnormal for a normal understudy to pass at most 2 classes in a given semester. 

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The volume of a cylinder whose diameter measures 32 feet and has a height of 10 feet is equal to: C. 8,038.4 ft³.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Note: Radius = diameter/2 = 32/2 = 16 ft.

By substituting the parameters, we have:

Volume of cylinder, V = 3.14 × 16² × 10

Volume of cylinder, V = 8,038.4 cubic feet.

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The accrued value of Staci's investment in the account in the year 2029 is $26933.59

The statements in the question can be sumarrized as

The formula to calculate amount on investment is

Amount = P * (1 + r)ⁿ

Where

When the values are substituted in the amount equation, we have

Amount = 14500 * (1 + 3.5%)¹⁸

Evaluate

Amount = 26933.59

Hence, the amount after the investment is $26933.59

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Answer:

B

Step-by-step explanation:

Lateral surface contains B,C and D (because A and E are bases)

A (lateral surface area) = 70 + 70 + 56 = 196 cm^2

after 1000 years, approximately 259 mg of the original 500 mg sample of Radium-226 will remain.

what is approximately ?

Approximately means "about" or "roughly" and is used to indicate an estimated or approximate value or quantity, rather than an exact or precise one. For example, if someone says "the population of the city is approximately 1 million people," it means that the population is around 1 million,

In the given question,

The half-life of Radium-226 is 1590 years, which means that in 1590 years, half of the original sample will have decayed. After another 1590 years (or a total of 2 half-lives), half of the remaining sample will have decayed, leaving 25% of the original sample.

To find how much of the original sample remains after 1000 years, we need to first determine how many half-lives have passed.

Number of half-lives = elapsed time ÷ half-life = 1000 years ÷ 1590 years/half-life = 0.63

So, approximately 0.63 half-lives have passed. Therefore, the fraction of the original sample remaining is:

fraction remaining = (1/2)⁰°⁶³ ≈ 0.518

To find the remaining mass, we can multiply the fraction remaining by the initial mass:

remaining mass = fraction remaining x initial mass

remaining mass = 0.518 x 500 mg ≈ 259 mg

Therefore, after 1000 years, approximately 259 mg of the original 500 mg sample of Radium-226 will remain.

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If Diego's family spent a total of $130, on a night out, then the each ticket for the fair cost's $15.

In order to find the "total-cost" of the tickets, we subtract the cost of the family dinner from the total amount spent;

⇒ Total cost of tickets = Total amount spent - Cost of family dinner,

⇒ Total cost of tickets = $130 - $55,

⇒ Total cost of tickets = $75.

Next, we divide the total cost of the tickets by the number of tickets purchased to find the cost of each ticket:

So, Cost per ticket = (Total cost of tickets)/(Number of tickets),

⇒ Cost per ticket = $75/5,

⇒ Cost per ticket = $15,

Therefore, each ticket to the fair cost $15.

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