81 must be the bare minimum acceptable sample size for a real-world computation.
Define Mean?The mean of a group of two or more integers is the straightforward mathematical average. The geometric mean approach, which uses the average of a set of products, and the arithmetic mean technique, which uses the sum of the series' values, are only two of the techniques available to calculate the mean for a given set of data.
Given: For the population of healthy people, the mean IQ score is μ =100 and the standard deviation is б =14.
Significance level : 1-0.99=.01
Critical value : zₐ/2=2.576
Margin of error : E=4
Standard deviation : б =14
The following equation determines the sample size:
n=( zₐ/2×б /E)²
n=(2.576×14/4)²
n=81.288≈81
Hence, the minimum reasonable sample size for a real world calculation must be 81.
To know more about integers, visit:
https://brainly.com/question/15276410
#SPJ1
What is the point (5,4) rotated 90 degrees clockwise
Answer: (-4,5)
Step-by-step explanation:
A square wall is 81 square meters. What are the dimensions of the wall?
The wall is 9 meters long and 9 meters wide.The area of a square is equal to the length multiplied by the width.
The area of a square is equal to the length multiplied by the width. Therefore, in order to determine the dimensions of the wall, we must solve the equation 81 = l x w, where l and w represent the length and width of the wall, respectively. By dividing both sides of the equation by 9, we get that l = w = 9, meaning that the wall is 9 meters long and 9 meters wide.
learn more about area here
https://brainly.com/question/27683633
#SPJ4
The mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is .35. If the price increases by 25 cents a box, what is the new variance?
The new variance is 0.35.
The variance of a random variable measures how spread out the values are from the mean.
The formula for the variance is Var(X) = E[(X - E[X])²], where E[X] is the expected value (or mean) of X.
If the price of a box of Cheerios Oat Crunch increases by 25 cents, the new mean cost would be $4.25. To find the new variance, we can use the formula Var(aX + b) = a²Var(X), where a is a constant and b is a constant. In this case, a = 1 (because we are not changing the units of measurement) and b = 0.25 (because we are adding 25 cents to the price).
Therefore, the new variance is Var(X + 0.25) = Var(X) = Var(X) x 1² = Var(X) = 0.35.
This means that the variance remains the same even though the price has increased. This is because the variance is a measure of how spread out the values are from the mean, and the mean has shifted by the same amount as the price increase. Therefore, the distance between the values and the new mean is the same as the distance between the values and the old mean, so the spread is unchanged.
The variance is a measure of how spread out a set of data is from its mean. It is calculated as the average of the squared differences between each value and the mean. The formula for variance is Var(X) = E[(X - E(X))²], where E is the expected value or mean of X.
In this case, we are given that the mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is 0.35. This means that the average squared difference between each box's cost and the mean cost is 0.35.
Now, if the price of each box increases by 25 cents, this means that the new mean cost will be $4.25. However, this does not affect the variance directly. This is because the variance only measures how spread out the data is from the mean, and the mean has shifted by the same amount as the price increase.
To see this more clearly, imagine a set of data that has a mean of 4 and a variance of 0.35. If we add 0.25 to each value, we get a new set of data that has a mean of 4.25. However, the spread of the data is still the same; that is, the distance between each value and the new mean is the same as the distance between each value and the old mean. Therefore, the variance remains the same even though the price has increased.
In summary, the variance measures how spread out a set of data is from its mean, and a shift in the mean does not affect the variance directly.
To know more about variance click here:
brainly.com/question/16023611
#SPJ4
Find the value of x.
Helllppppppppppppppppppppppppppppp
Answer:
x=2
Step-by-step explanation:
(12x-23)(8x-15)
-8x -8x
(4x-23)(-15)
+23 +23
(4x)(8)
4/4 8/4
x=2
a book has exactly 200 pages numbered from 1 to 200, and each page number is printed at the bottom of the page. how many different page numbers contain the digit 1?
Number of different page that numbers contain the digit 1 is 20
We can approach this problem by counting the number of pages that do not contain the digit 1 and subtracting that from the total number of pages, which is 200.
Let's count the number of pages that do not contain the digit 1. We can do this by considering each digit in turn. There are 9 choices for the first digit (it cannot be 1), and 10 choices for each of the remaining digits (since 1 is now allowed). So, there are 9 × 10 × 10 = 900 page numbers that do not contain the digit 1.
Therefore, the number of page numbers that do contain the digit 1 is 200 - 900 = -700.
However, this answer does not make sense since we cannot have negative page numbers. Therefore, there must be a mistake in our calculation. The mistake occurs when we consider the case where the first digit is 1. In this case, there are only 2 digits left to choose from (0 and 2-9), not 10. So, the correct number of page numbers that do not contain the digit 1 is 9 × 2 × 10 = 180.
Therefore, the number of page numbers that do contain the digit 1 is 200 - 180 = 20.
Learn more about subtraction here
brainly.com/question/2346316
#SPJ4
A farmer had a square piece of land, that he described as y + 7 feet in length and width. It was all planted with corn; except for one small square that was 7 ft. by 7 ft. It was planted with radish. Express the area that is only planted in corn using polynomials.
Answer: Therefore, the area that is only planted in corn can be expressed as the polynomial y^2 + 14y.
Step-by-step explanation:
The area of the square piece of land is given by the product of its length and width:
Area of square piece of land = (y + 7) * (y + 7)
The area of the small square that was planted with radish is 7 ft. by 7 ft. Therefore, its area is:
Area of small square = 7 * 7 = 49
The area that is only planted in corn is the difference between the area of the square piece of land and the area of the small square that was planted with radish:
Area planted in corn = (y + 7) * (y + 7) - 49
Expanding the expression on the right side, we get:
Area planted in corn = y^2 + 14y + 49 - 49
Simplifying further, we get:
Area planted in corn = y^2 + 14y
An icicle in the shape of a cone is hanging from a gutter. It is 12 in. long and has a radius of 1 in. What is the volume of the icicle? Round
answer to the nearest hundredths place.
As a result, the icicle has a volume of about 4.19 cubic inches.
. The formula V = (1/3)r2h, where r is the radius of the base and h is the height of the cone, determines the volume of a cone.
Define radius?The distance between a circle's center to any other point on the circle is known as the radius. It is frequently represented by the letter "r."
The radius of a sphere, in this example, is the separation between any two points on its surface from the sphere's centre.
In this instance, the icicle is shaped like a cone with a 1 in. radius and a 12 in. height.
As a result, the icicle's volume is:
V = (1/3)π(1 in.)²(12 in.)
V ≈ 4.19 cubic inches
To know more about icicle volume visit:
brainly.com/question/15509075
#SPJ1
What is 1. 2 x 10 ^5 in standard form?
Answer:
120,000
Step-by-step explanation:
1.2 x 10^5 in standard form is 120,000.
To convert a number from scientific notation (with a power of 10) to standard form, you simply move the decimal point to the right or left depending on the sign of the exponent.
In this case, the exponent is positive, so we move the decimal point to the right by 5 places, filling in any empty spaces with zeros. This gives us the final answer of 120,000 in standard form.
if all else remains constant and the values of two variables move in the same direction it indicates a
If all else remains constant and the values of two variables move in the same direction, it indicates a positive correlation.
What is correlation?Correlation is a statistical measure that expresses the relationship between two variables. The correlation coefficient, which ranges from -1 to +1, is used to quantify the correlation.
A positive correlation is when the values of the variables move in the same direction. A correlation of +1 indicates that the variables are perfectly positively correlated, implying that as one variable increases, the other also increases.
A correlation of -1 indicates that the variables are perfectly negatively correlated, implying that as one variable increases, the other decreases. A correlation of zero indicates that there is no correlation between the variables.
Hence a positive correlation exists when the values of two variables move in the same direction while all other factors remain constant.
To learn more about correlation visit: https://brainly.com/question/29972433
#SPJ11
The vertices of triangle PQR are P(3,4), Q(5,8) and R(7,4). Find the length of QS and deduce the area of the triangle PQR
Check the picture below.
Can someone explain and show the work?
Assuming the triangles in the pair above are similar, the value of x is equal to 11.
What is the basic proportionality theorem?In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.
By applying the basic proportionality theorem to the given triangle, we have the following:
UV/VW = SU/ST
(5x + 11)/88 = 18/24
By cross-multiplying, we have the following:
24(5x + 11) = 18(88)
120x + 264 = 1,584
By rearranging and collecting like-terms, the value of x is given by:
120x = 1,584 - 264
120x = 1,320
x = 1,320/120
x = 11.
Read more on basic proportionality theorem here: brainly.com/question/3213812
#SPJ1
Use the Commutative property of multiplication to write a related number sentence. 4x9=36
Answer: 9x4=36
Step-by-step explanation:
if you calculated the standard deviation for a distribution of 20 scores, removed the 5 highest scores and recalculated, the value of the standard deviation would select one: a. increase b. stay the same c. decrease d. be reduced by five
Whatn the 5 highest is removed then standard deviation will decrease. (C)
The standard deviation is a measure of how spread out numbers are from the mean. Removing the 5 highest scores from the distribution of 20 scores will cause the numbers to become more concentrated around the mean, thus decreasing the standard deviation.
This is because the 5 highest scores are further away from the mean than the other numbers and by removing them, the average distance between the numbers and the mean decreases.
Mathematically, the formula for standard deviation is the square root of the sum of squared deviations from the mean divided by the number of scores minus 1.
When the 5 highest scores are removed, this means the sum of squared deviations from the mean is reduced, and since the number of scores is also reduced, the overall standard deviation value decreases.(C)
To know more about standard deviation click on below link:
https://brainly.com/question/29808998#
#SPJ11
at a food court pedro and his friends buy 3 pretzels and 2 drinks for a total cost $5.97. they return the same food court and buy 12 more pretzels and 6 more drinks for a total cost $20.88. what is the cost of 1 pretzel and what is the cost of 1 drink
The points C, D, E and F all lie on the same line segment, in that order, such that the ratio of
C
D
:
D
E
:
E
F
CD:DE:EF is equal to
1
:
6
:
3. 1:06:03. If
C
F
=
20
,
CF=20, find
E
F. EF
Given the ratio of CD:DE:EF as 1:6:3 and CF as 20, we can use the sum of segment lengths equation to find the length of EF to be 12 units.
We're given that points C, D, E, and F lie on the same line segment in that order, with the ratio CD:DE:EF equal to 1:6:3. This means that the length of segment CD is 1x, the length of segment DE is 6x, and the length of segment EF is 3x, for some common factor x.
We're also given that CF (the total length of the segment from C to F) is equal to 20. So that we can set an equation:
CD + DE + EF = CF
Substituting the values we know from the ratio and CF:
1x + 6x + 3x = 20
Combining like terms:
10x = 20
Solving for x:
x = 2
Now we can use this value of x to find the lengths of each segment:
CD = 1x = 1(2) = 2
DE = 6x = 6(2) = 12
EF = 3x = 3(2) = 6
So the length of segment EF is 12 units.
Learn more about segment here:
https://brainly.com/question/12622418
#SPJ4
the time needed to complete a final examination in an introductory microeconomics mba course at the college of williamsburg follows a normal probability distribution with a mean of 80 minutes 0 seconds and a standard deviation of 10 minutes 0 seconds. 1. (10 points) what is the probability that a student will complete the exam in between 60 minutes 0 seconds and 75 minutes 0 seconds?
With the help of probability we can solve our question-
What is Probability?The idea of probability describes the possibility of an event happening.
We frequently have to make forecasts about the future in real life.
We may or may not be aware of the outcome of an event.
When this happens, we declare that there is a chance the event will take place.
In summary, probability has a wide range of fantastic applications in entertainment, business, and this recently expanding branch of artificial intelligence.
The probability formula can be used to determine the likelihood of an event by only dividing the favorable number of possibilities by the entire number of possible outcomes.
s=d/t
75 minutes
learn more about probability click here:
brainly.com/question/13604758
#SPJ1
if (0.57, 0.63) is a 50% confidence interval for p, what does n k equal, and how many observations were taken?
The number of observation taken to obtain confidence interval of 50% is equal to 484.
Confidence interval for p = 50%
Use the formula for the confidence interval of a proportion to find the sample size n,
p ± z√(p×(1-p)/n) = (0.57, 0.63)
where z is the z-score corresponding to a 50% confidence interval, which is 0.674.
Midpoint of the interval is,
(p1 + p2) / 2
= (0.57 + 0.63) / 2
= 0.60
Rewrite the equation as,
0.60 ± 0.674√(0.60(1-0.60)/n) = (0.57, 0.63)
Simplifying this equation, we get,
⇒ 0.674√(0.60(1-0.60)/n) = 0.03/2
⇒ 0.674√(0.60(1-0.60)/n) = 0.015
Squaring both sides and solving for n, we get,
⇒n = 0.60×(1-0.60)×(0.674/0.015)^2
⇒n = 483.84
Rounding up to the nearest integer, the sample size is n = 484.
Therefore, n k equals 484 k, and 484 observations were taken to obtain the 50% confidence interval of (0.57, 0.63) for p.
Learn more about confidence interval here
brainly.com/question/24197225
#SPJ4
A large rectangle has sides 8 cm and 10 cm. Two small rectangles are removed from this large rectangle. This leaves the shaded shape. What is the perimeter of the shaded shape?
Answer:
To find the perimeter of the shaded shape, we need to determine the length of the sides of the shaded shape.
First, we need to find the area of the two small rectangles that were removed from the large rectangle:
Area of small rectangle 1: length x width = 4 cm x 3 cm = 12 cm²
Area of small rectangle 2: length x width = 4 cm x 2 cm = 8 cm²
The total area of small rectangles: 12 cm² + 8 cm² = 20 cm²
Now we can find the area of the shaded shape by subtracting the area of the small rectangles from the area of the large rectangle:
Area of large rectangle: length x width = 10 cm x 8 cm = 80 cm²
Area of shaded shape: 80 cm² - 20 cm² = 60 cm²
Since the shaded shape is rectangular, we can find the length and width by dividing the area by a factor pair:
60 cm² ÷ 6 cm = 10 cm
60 cm² ÷ 10 cm = 6 cm
So the shaded shape has sides of 6 cm and 10 cm.
Finally, we can find the perimeter of the shaded shape by adding up the lengths of all four sides:
Perimeter = 6 cm + 10 cm + 6 cm + 10 cm = 32 cm
Therefore, the perimeter of the shaded shape is 32 cm.
Step-by-step explanation:
barbara wants to build a compound machine using three different simple machines. if order matters in her compound machine, how many different compound machines could she make?
Barbara can make six different compound machines if order matters.
There are three different simple machines that Barbara can use. Let's call them A, B, and C.
If order matters, then for the first machine, Barbara can choose any of the three simple machines. For the second machine, she can choose any of the remaining two simple machines. And for the third machine, she can choose the last remaining simple machine.
Therefore, the total number of different compound machines that Barbara can make is:
3 x 2 x 1 = 6
So Barbara can make six different compound machines.
To know more about machines
https://brainly.com/question/2555822
#SPJ4
10. Jack bought the fishing gear pictured. The
sales tax was calculated by multiplying the
total cost of the fishing gear by 0.07 and
rounding to the nearest cent. How much
did Jack pay for the fishing gear including
sales tax?
So, the total cost including sales tax is 1.07 times the cost before tax.
What is percent?Percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". It is commonly used to represent proportions, rates, and changes in quantity. For example, if 50 out of 100 students in a class passed an exam, the pass rate is 50%, which means that 50% of the students in the class passed the exam.
Here,
Let's say the cost of the fishing gear before tax was $X. Then, the sales tax would be 0.07*X. To get the total cost, we add the cost before tax and the sales tax:
Total cost = cost before tax + sales tax
Total cost = X + 0.07X
Total cost = 1.07X
So, the total cost including sales tax is 1.07 times the cost before tax. If you know the cost before tax, you can calculate the total cost by multiplying it by 1.07.
To know more about percent,
https://brainly.com/question/29172752
#SPJ1
Find the area of the following shapes:
Answer:
30cm²
Step-by-step explanation:
If yu remove the triangle FED and replace it in place ABC, you will recive a rectangle of side a=AC=6cm and b=DC=5cm. And the area of rectangle is a*b.
Area=a*b=6cm*5cm=30cm²
Which expression is equivalent to 4/9x2?
4x2/9
2x9/2
4x9/2 or
2x2/9
4x2/9
Both will result to 8/9
BAN
ANA
NAN
In how many different ways can the word BANANA be read from the following table by moving from one cell to another cell with which it shares an edge? Cells may be visited more than once
A box, in the shape of a rectangular prism, has a length of 3 1/2
inches, a width of 4 inches, and a height of 10 inches. What is the volume of the box?
The volume of a rectangular prism is 140 inches.
What is the rectangular prism?
A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
Here, we have
Given: A box, in the shape of a rectangular prism, has a length of 3 1/2 inches, a width of 4 inches, and a height of 10 inches.
Length = 3 1/2
Width = 4
Height = 10
The volume of the box is the product of its dimensions
V = Length × width × Height
V = 3 1/2 × 4 × 10
V = 140
Hence, the volume of a rectangular prism is 140 inches.
To learn more about the rectangular prism from the given link
https://brainly.com/question/30277399
#SPJ1
Which might be the odd one out of 3:6,3:9 and 6:12? Explain your choice
The odd one out from the three given ratios 3:6, 3:9 and 6:12 is 3:9 as 3x2 = 6 and 6x2 = 12 but 3x3 = 9.
Explain about the ratios of the number?A ratio is a means to compare two numbers that are similar or to demonstrate a relationship.
In the previous illustration, B and G are terminology. G is referred to as the consequent term, and B as the antecedent word.
Ratios are used to compare items with the exact same type. To analyze the proportion of boys to girls in your class, for instance, we might use a ratio. Another illustration would be to assess the ratio of peanuts to all other nuts in a container of mixed nuts.
The given ratios are;
3:6,3:9 and 6:12
Here the pattern follows:
3x 2 = 6
3x 3 = 9
6x 2 = 12
Thus, odd one out will be the ratio 3:9.
Know more about the ratios of the number
https://brainly.com/question/2328454
#SPJ1
Find the volume & surface area of each figure. Round your answers to the nearest hundredth, if
necessary.
We can conclude by answering the provided question that As a result, Figure B has a capacity of approximately 226.19 cubic centimetres and a surface area of approximately 94.25 square centimetres.
what is surface area ?The surface area of an object indicates the total volume filled by its surface. The surface area of a three-dimensional shape is the entire quantity of space that surrounds it. The surface area of a three-dimensional object refers to its total surface area. By adding the areas of each face, the surface area of a cuboid with six rectangular sides can be determined. As an alternative, you can use the following algorithm to identify the box's dimensions: 2lh + 2lw + 2hw = surface (SA). Surface area is a measurement of the total quantity of room occupied by the surface of a three-dimensional shape (a three-dimensional shape is a shape that has height, width, and depth).
For each figure, we will compute the volume and surface area individually.
Diagram A:
Figure A is a rectangle pyramid in form. It measures 10 centimetres long, 6 cm wide, and 4 cm tall.
Diagram B:
Figure B is a cylindrical in form. It has a radius of 3 centimetres and a height of 8 cm.
Image B volume = x radius2 x height = x 32 x 8 cm3 = 226.19 cubic centimetres
Figure B surface area = 2 x radius x height + 2 x radius2 = 2 x 3 cm x 8 cm + 2 x 32 cm2 = 94.25 square centimetres
As a result, Figure B has a capacity of approximately 226.19 cubic centimetres and a surface area of approximately 94.25 square centimetres.
To know more about surface area visit:
https://brainly.com/question/2835293
#SPJ1
2d+7.5d≥ 5.5d +3
solve for d
Answer: d
≥
3/4
Step-by-step explanation:
2d+7.5d≥ 5.5d +3
9.5d≥ 5.5d +3
9.5d-5.5d ≥ 3
4d ≥ 3
***Divide 4 on both sides
d
≥
3/4
The area of a door is 3024 scare inches the the length of the door is 48 inches longer than the width of the door what is the width of the door
Answer:
Let's assume the width of the door is x inches. Then, according to the problem, the length of the door is 48 inches longer than the width, which means the length is x+48 inches.
The area of the door is given as 3024 square inches, so we can set up an equation:
Area = width x length
3024 = x(x+48)
Simplifying the equation, we get:
x^2 + 48x - 3024 = 0
Now we can solve for x using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = 48, and c = -3024
x = (-48 ± √(48^2 - 4(1)(-3024))) / 2(1)
x = (-48 ± √(2304 + 12096)) / 2
x = (-48 ± √14400) / 2
We take the positive root since the width of a door cannot be negative:
x = (-48 + 120) / 2
x = 36
Therefore, the width of the door is 36 inches.
Step-by-step explanation:
The mean cost of a box of Cheerios Out Crunch is $4.00. If the price increases by 10% what is the new mean? None of the other choices is correct $410 $400 $440
The new mean cost of a box of Cheerios Out Crunch is $4.40. This means that, on average, customers can expect to pay $0.40 more for a box of cereal after the price increase.
The new mean cost of a box of Cheerios Out Crunch after a 10% increase in price would be $4.40.
To see why, we can start with the original mean cost of $4.00 per box. To calculate a 10% increase, we can multiply the original mean cost by 1.10 (or 110% as a decimal), which gives:
$4.00 x 1.10 = $4.40
The mean cost is the proportion of the cost of the multitude of items to the absolute number of items. In Maths, we likewise have the term called "normal". The normal of some random arrangement of information is known as the mean of information.
Find out more about the mean cost
brainly.com/question/31182007
#SPJ4
Eimy and Enerlyn are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Eimy sold 6 apple pies and 8 lemon meringue pies for a total of $208. Enerlyn sold 6 apple pies and 2 lemon meringue pies for a total of $88. Find the cost each of one apple pie and one lemon meringue pie. HELP HELP I NEED HELP BAD
After answering the prοvided questiοn, we can cοnclude that Therefοre, equatiοn the cοst οf οne apple pie is $8, and the cοst οf οne lemοn meringue pie is $20.
What is equatiοn?In mathematics, an equatiοn is a statement that implies the unity οf twο traits. An equatiοn cοnsists οf twο sides separated because οf an analytical sοlutiοn (=). Fοr instance, the debate "2x + 3 = 9" asserts that the remark "2x + 3" equals the valuatiοn "9". The gοal οf sοlving equatiοns is tο determine the amοunt οr values οf the variable in the mοdel) that wοuld allοw the equatiοn tο really be true.
Fοrmulae can be simple οr cοmplex, regular οr nοnlinear, and cοntain οne οr mοre variables. Fοr example, in the equatiοn "x² + 2x - 3 = 0," the variable x is elevated tο the secοnd pοwer. Lines are used extensively in mathematics, including algebra, equatiοns, and geοmetry.
Let x be the cοst οf οne apple pie, and y be the cοst οf οne lemοn meringue pie.
[tex]6x+8y=208[/tex]
[tex]6x+ 2y= 88[/tex]
[tex]-24x - 8y = - 352[/tex]
[tex]6x + 8y = 208[/tex]
[tex]-18x =-144[/tex]
[tex]X = 8[/tex]
[tex]6(8) +8y =208[/tex]
[tex]48+8y=208[/tex]
[tex]8y =160[/tex]
[tex]Y= 20[/tex]
Therefοre, the cοst οf οne apple pie is $8, and the cοst οf οne lemοn meringue pie is $20.
To know more about equation visit:
brainly.com/question/649785
#SPJ1