in the previous example, the standard deviation of birth weights for individual babies in the population is 500 grams. what is the standard deviation of the mean birth weights for samples of 100 babies?

The graph of the data from the table is added as an attachment

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

Jerome is a photographer. He earns $125 per hour

This means that the equation of the function is

f(x) = 125x

Where x is the number of hours he works

Using the above as a guide, we have the following table of values

x    f(x)

1     125

2    250

3    375

4    500

5    625

6     750

Next, we plot the graph from the table of values and the function f(x) = 125x

The graph of the function is added as an attachment

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With 82% confidence that the true average weight gain during the December holidays for the sampled adult population is between -1.25 pounds. and 1.47 pounds.

To find the 82% confidence interval for the mean weight gain over the holidays in December, you can use the following formula:

[tex]CI = xd ± t*(SDd/sqrt(n))[/tex]

where:

xd = average weight change of sample (0.11 lb increase)

SDd = standard deviation of weight difference (5.25 lbs)

n = sample size (23)

t = the critical value of the t distribution with n-1 degrees of freedom and the desired confidence level (82% in this case)

You can use a t-table or a calculator to find the critical value of the t-distribution. With 22 degrees of freedom (n-1) and an 82% confidence level, the critical value is approximately 1.319.

Plugging in the given values ​​gives:

[tex]CI = 0.11 ± (1.319*(5.25/sqrt(23))) = (-1.25, 1.47)[/tex]

Therefore, we can say with 82% confidence that the true average weight gain during the December holidays for the sampled adult population is between -1.25 pounds. and 1.47 pounds.

Note that the confidence intervals include zero. This means that we cannot reject the null hypothesis that there is no significant difference in weight between mid-November and he early-to-mid-January.

However, this does not necessarily mean no weight gain during his December vacation, as there is individual variation in weight change within the sample.  

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The normal approximation for the given binomial distribution with p = 0.10 and n = 40 has a mean of 4 and a standard deviation of 1.93.

The binomial probability distribution can be approximated by the normal distribution when certain conditions are met, such as a large sample size and a probability of success not too close to 0 or 1.

In this case, n = 40 and p = 0.10. To determine if the normal approximation is appropriate, we can check if both np and n(1-p) are greater than or equal to 10

np = 40 x 0.10 = 4

n(1-p) = 40 x 0.90 = 36

Both np and n(1-p) are greater than or equal to 10, so the normal approximation is appropriate.

The mean of the binomial distribution is given by μ = np = 4, and the standard deviation is given by σ = √(np(1-p)) = √(40 x 0.10 x 0.90) ≈ 1.93.

To find the mean and standard deviation of the normal approximation, we use the same mean and standard deviation values

μ = np = 4

σ = √(np(1-p)) ≈ 1.93

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Answer:

396 pi mm²

Step-by-step explanation:

The surface area of a cylinder:

The total surface area (A) of a cylinder is calculated by adding the areas of the two bases and the lateral surface area.

A = 2πr^2 + 2πrh

Given:

The surface area of the first cylinder (A1) = 594π mm^2

Height of the first cylinder (h1) = 24 mm

Height of the second cylinder (h2) = 16 mm

We can use the property of similarity and set up the proportion:

A1 / A2 = (h1 / h2)^2

Plugging in the given values, we get:

594π / A2 = (24 / 16)^2

Simplifying, we get:

594π / A2 = 3/2)^2

594π / A2 = 9/4

Cross-multiplying, we get:

A2 = (594π * 4) / 9

A2 = 264π mm^2

So, the correct surface area of the second cylinder is 264π mm^2.

Answer: To answer this question, we need to know the number of individuals in each combination of Hogwarts elective and house. Without this information, we cannot calculate the expected chi-square test statistic value or the standard deviation.

Assuming we have this information, we can calculate the expected chi-square test statistic value as follows:

Set up a contingency table with the observed frequencies in each cell and the row and column totals.

Calculate the expected frequency for each cell by multiplying the row total by the column total and dividing by the total sample size.

Calculate the chi-square test statistic by summing the squared differences between the observed and expected frequencies for each cell and dividing by the expected frequency for each cell.

The formula for the standard deviation of the chi-square test statistic depends on the degrees of freedom, which is equal to the number of rows minus one multiplied by the number of columns minus one. Once we have calculated the expected chi-square test statistic value and degrees of freedom, we can calculate the standard deviation using the formula:

sqrt(2 * df)

where "df" is the degrees of freedom.

Without the necessary information about the frequencies, we cannot provide a numerical answer to this question.

Step-by-step explanation:

Answer: Permutation: A permutation is an course of action of a set of objects in a particular arrange. The number of conceivable changes of a set of n objects is n factorial (n!), which is the item of all positive integrability up to n.

Factorial: The factorial of a non-negative numbers n is signified by n! and is characterized as the item of all positive integrability less than or rise to to n. For case, 5! = 5 x 4 x 3 x 2 x 1 = 120.

Series: A arrangement may be a entirety of terms organized in a particular arrange. The entirety of the terms in a arrangement is called its add up to.

Circular permutation: A circular stage may be a stage of a set of objects in a circular course of action, where the arrange of objects things, but the beginning point is subjective. For case, orchestrating the letters A, B, and C in a circle would result in 3 circular stages: ABC, BCA, and CAB. The number of conceivable circular stages of a set of n objects is (n-1)!.

Step-by-step explanation:

A 2-column table titled Balloon Payment Mortgage has 7 rows. The first column has entries mortgage amount, term, interest rate, monthly payment, balloon payment, total interest, total payment. The second column has entries 170,000 dollars, 8 years, 4 percent, 811 dollars and 61 cents for 95 months, 143,152.99, 50,256, 220,256. By the end of year 8, Demarco and Tanya would have to pay a final payout of $143,152.

Hence, the correct option is C.

With the help of the given values, we know that the mortgage amount is $170,000 and the interest rate is 4%. The term of the loan is 8 years, which is equivalent to 96 months.

To calculate the monthly payment, we can use the following formula

P = (r * A) / (1 - (1 + r)^(-n))

Where P is the monthly payment, r is the monthly interest rate (which is 4% / 12 = 0.00333), A is the mortgage amount, and n is the total number of months (which is 96).

By putting the values, we get

P = (0.00333 * 170000) / (1 - (1 + 0.00333)^(-96))

P ≈ $811.61

Hence, the monthly payment is $811.61.

The total interest paid over the life of the loan can be calculated as the difference between the total payment and the mortgage amount.

Total interest = Total payment - Mortgage amount

Total interest = $220,256 - $170,000

Total interest = $50,256

Now, we can calculate the balloon payment using the formula

Balloon payment = A * (1 + r)^n - [P * ((1 + r)^n - 1) / r]

Where A is the mortgage amount, r is the monthly interest rate, P is the monthly payment, and n is the number of months until the balloon payment is due (which is 95 in this case).

By substituting the values, we get

Balloon payment = 170000 * (1 + 0.00333)^95 - [811.61 * ((1 + 0.00333)^95    - 1) / 0.00333]

Balloon payment ≈ $143,152.99

Hence, the correct option is C.

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Answer$143,152

Step-by-step explanation:

The matrix of dependent coefficients and the vector column of independent variables of the system of linear equations are:

[tex]\vec A = \left[\begin{array}{ccc}1&-2&3\\-4&5&-6\\7&-8&9\end{array}\right][/tex]

[tex]\vec {b} =\left[\begin{array}{ccc}6\\8\\1\end{array}\right][/tex]

In this question we find a representation of a system of three linear equations with three variables {x, y, z}. This system can be described by following expression according to linear algebra:

[tex]\vec A \,\bullet \,\vec x = \vec B[/tex]

Where:

Please notice that operator "•" represents a dot product.

Then, the matrix of dependent coefficients and the vector column of independent variables are, respectively:

Matrix of dependent coefficients

[tex]\vec A = \left[\begin{array}{ccc}1&-2&3\\-4&5&-6\\7&-8&9\end{array}\right][/tex]

Vector column of independent variables

[tex]\vec {b} =\left[\begin{array}{ccc}6\\8\\1\end{array}\right][/tex]

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According to the equation, Carmine used 4.7 pounds of almonds in the mixture.

To represent this relationship mathematically, we can use an equation. Let's use "a" to represent the weight of the almonds in pounds. Then, we can write:

2.8 + a = total weight of the trail mix

We can then solve for "a" by subtracting 2.8 from both sides of the equation:

a = total weight of the trail mix - 2.8

We also know that the trail mix is divided into 5 equal portions, each weighing 1.5 pounds. Therefore, the total weight of the trail mix is:

total weight of the trail mix = 5 * 1.5

total weight of the trail mix = 7.5

Substituting this value into the equation we derived earlier, we get:

a = 7.5 - 2.8

a = 4.7

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The requried side length of the square is approximately 9.695 units.

To find the side length of a square with an area of 94 square units, we need to take the square root of the area.

a² = 94
a = √94

a ≈ 9.695

Therefore, the side length of the square is approximately 9.695 units.

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a)  $155.61 is deducted from Violet's paycheck for her 401(k).

b) $19.05 is deposited into Violet's retirement plan each day.

A) To calculate how much is deducted from Violet's paycheck for her 401(k), we need to find her biweekly gross income and then calculate 7% of it.

Violet's biweekly gross income can be found by dividing her annual income by the number of biweekly pay periods in a year, which is 26:

Biweekly gross income = $57,903 / 26 = $2,223

Now, we can calculate the amount that is deducted from Violet's paycheck for her 401(k):

401(k) deduction = 7% of $2,223 = 0.07 x $2,223 = $155.61

Therefore, $155.61 is deducted from Violet's paycheck for her 401(k).

B) To calculate how much is deposited into Violet's retirement plan each day, we need to first find out how much is deposited each pay period.

Violet contributes 7% of her biweekly gross income to her 401(k), which is $155.61 as calculated above. Her employer matches up to 5% of her contribution, so the total contribution to her retirement plan each pay period is:

Total contribution = Violet's contribution + employer's contribution

= $155.61 + (5% of $2,223)

= $155.61 + $111.15

= $266.76

There are 14 days in a biweekly pay period, so we can calculate how much is deposited into Violet's retirement plan each day:

Daily deposit = Total contribution / number of days in pay period

= $266.76 / 14

= $19.05

Therefore, $19.05 is deposited into Violet's retirement plan each day.

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Answer:

• f(x) is stretched away from the x-axis by a factor of 2 and is reflected over the x-axis.

Step-by-step explanation:

The function f(x) = 2sin(2x) has an amplitude of 2 and a period of π/2. When we apply the rule g(w) = - f(x), we are reflecting the graph of f(x) over the x-axis and then taking its opposite. This means that the amplitude of g(w) will still be 2, but the graph will be reflected and stretched away from the x-axis by a factor of 2.

I hope it helps you

Answer:

562496

Step-by-step explanation:

i think

Answer:189504

Step-by-step explanation:

To get the 1.4% of population you need to multiply it like this: 752000 × 1.4% = 10528.

10528 is the population decrease every year, to find the population decrease after 18 years you need to multiply it again like this: 10528 × 18 = 189504.

189504 is the population decrease after 18 years.

The inverse of the graphs are added as an attachment

To plot the inverse of a graph, you can follow these steps:

See attachment for the graphs

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Answer:

160°/360° = area/(π(5^2))

area = 25π(4/9) = 100π/9 square inches

Circumference = (4/9)π(5) = 20π/9 inches

Answer:

14

Step-by-step explanation:

28 mm is the diameter of the button, so we have to find the radius, which is half of the diameter.

28/2=14

So, the radius of this button is 14 mm

The amount of space in a gift box for earrings would typically be measured in cubic inches (C).

how to solve the question?

Cubic inches is a unit of volume that is commonly used to measure the capacity of small, enclosed spaces like boxes, containers, and packaging. It is defined as the volume of a cube that measures one inch on each side.

For a gift box designed to hold earrings, the volume of the box would need to be sufficient to accommodate the size of the earrings and any additional padding or decorative elements. Since earrings are small, the gift box would likely have a small volume, measured in cubic inches.

Other units of measurement, like square meters or yards, are used to measure the area of two-dimensional surfaces like floors, walls, or yards. Square centimeters are also a unit of area measurement, but they are much smaller than square meters or yards, and may be used to measure the surface area of small objects.

Cubic feet is a larger unit of volume measurement that may be used for larger boxes or containers, like shipping crates or storage bins. However, for a gift box designed specifically for earrings, cubic inches is likely the most appropriate unit of measurement.

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Answer:

4800

Step-by-step explanation:

15 x 20 = 300 x 16 = 4800

The correct solution for the given equation 6g-3h = -3 is (-4, -7) respectively.

A mathematical assertion that proves the equality of two mathematical expressions is what an equation in algebra means.

For instance, the expressions 3x + 5 and 14 make up the equation 3x + 5 = 14, with the 'equal' sign separating them.

So, we have the equation:

6g-3h = -3

Solution: (-3, -2)

Solve as follows:

6(-3)-3(-2) = -3

-18 + 6 = -3

-12 ≠ -3

Wrong solution.

Then, the correct solution could be:

6g-3h = -3

Solution: (-4, -7)

Solve as follows:

6g-3h = -3

6(-4)-3(-7) = -3

-24 + 21 = -3

-3 = -3

Correct solution.

Therefore, the correct solution for the given equation 6g-3h = -3 is (-4, -7) respectively.

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A four members of the Harrison family save  $896 on airfare by vacationing in Vancouver.

Here, the airplane tickets to Fairbanks Alaska will cost $958 each.

⇒ c₁ = $958

where c₁ represents the airfare to Fairbanks Alaska

and the airplane tickets to Vancouver Canada will cost $734.

⇒ c₂ = $734

Let us assume that s represents the amount of savings per ticket.

⇒ s = c₁ - c₂

⇒ s = 958 - 734

⇒ s = $224

Since there are four members in the family.

So using unitary method the total savings would be,

⇒ t = 4 × s

⇒ t = 4 × 224

⇒ t = $896

Therefore, the total savings =  $896

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The complete question is:

Airplane tickets to Fairbanks Alaska will cost $958 each. Airplane tickets to Vancouver Canada will cost $734. How much can the four members of a Harrison family save on airfare by vacationing in Vancouver?

Let's call the length of the rectangle "l" and the width "w". We know that the diagonal of the rectangle is 60 inches, and that it creates angles of 30 degrees and 60 degrees in the corners of the rectangle.

Using trigonometry, we can relate the sides of the rectangle to its diagonal and the angles formed by the diagonal. Specifically, we can use the sine and cosine functions to relate the sides to the angles:

sin(30) = w/60 and cos(30) = l/60

sin(60) = l/60 and cos(60) = w/60

Simplifying each equation, we get:

w = 30√3 and l = 30

Therefore, the area of the rectangle is:

Area = l x w = (30)(30√3) = 900√3 square inches.

Hence, the area of the rectangle in simplified radical form is 900√3 square inches.

The total amount of cash paid  by Stein Corp. for merchandise during the interval of 2014 is $462,000, under the condition that accounts payable, for December 31, 2013 is  $ 51,000 and accounts payable, for December 31, 2014 is $46,000
Purchases-2014  is $467,000.

In order to evaluate  the cash paid for merchandise purchases during 2014, it is crucial to calculate the change in accounts payable from December 31, 2013 to December 31, 2014 and summation of  purchases made during 2014.

Accounts payable change

= Accounts payable at December 31, 2014 - Accounts payable at December 31, 2013
= $46,000 - $51,000
= -$5,000

This explains that accounts payable decreased by $5,000 from December 31, 2013 to December 31, 2014.

Cash paid for merchandise purchases in 2014

= Purchases  during 2014 + Change in accounts payable
= $467,000 - $5,000
= $462,000

The total amount of cash paid  by Stein Corp. for merchandise during the interval of 2014 is $462,000, under the condition that accounts payable, for December 31, 2013 is  $ 51,000 and accounts payable, for December 31, 2014 is $46,000
Purchases-2014  is $467,000.

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On solving the provided question we can say that - 12.99(y - 9) + 2.75y = 100 , by solving, the expression  x = 11.2, y = 19

What is  linear equation?

A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.

                         Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.

let x be the base ball cards.

and y be page card.

x + y = 9 -------------------1

12.99x + 2.75y = 100-------------------2

12.99(y - 9) + 2.75y = 100

by solving

x = 11.2

y = 19

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Answer:

Median = 11

Mean = 19.8

Step-by-step explanation:

Arrange data points from small to large - Median will be the number in the middle

4 7 11 36 41

To get the mean add the numbers together and divide by the number of numbers there are.

The total is 99

5 numbers

99/5

= 19.8

Hope this helps

The number of students who had zero brothers or sisters is 1.

The probability of students with zero brothers or sisters is calculated from the ratio of the total number of students to the number of students with zero brothers or sisters.

Total number of students = 65

Number of zero siblings = 1

The probability = 1 / 65

So based on this information, we can conclude that in the sixth-grade class and based on the collected data, the number of students who had zero brothers or sisters is 1.

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Option D is correct, the area of given parallelogram is 30 square inches

Parallelogram is a simple quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Area of parallelogram =bh

=10×3

=30 square inches

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Answer:

?

Step-by-step explanation:

It would be a bit helpful if you uploaded a picture, since I don't see one.

The volume and total surface area of each shape combined is calculated below.

For cone-hemisphere shape

Volume = volume of cone + volume of hemisphere

Volume = 1/3πr²h + 2/3πr³

where r = 9/2 = 4.5 m

h = √(13² - 4.5²)      (Pythagoras)

h = 12.20 m

Volume = 1/3πr²h + 2/3πr³

Volume = (1/3 * 3.14 * 4.5² * 12.2) + (2/3 * 3.14 * 4.5³)

Volume = 449.33 m³

Surface area = curved surface area of cone + curved surface area of hemisphere

Surface area = πrl + 2πr², where l = 13 m

Surface area = (3.14 * 4.5 * 13) + (2 * 3.14 * 4.5²)

Surface area = 310.86 cm²

For hemisphere-cylinder shape

Volume = volume of hemisphere + volume of cylinder

Volume =  2/3πr³ + πr²h

where r = 22/2 = 11 ft

height of cylinder (h) = 45 - 11 = 34 ft

Volume =  (2/3 * 3.14 * 11³) + (3.14 * 11² * 34)

Volume =  15704.19 ft³

Surface area = curved surface area of hemisphere + curved surface area of  cylinder + curved surface area circular base of cylinder

Surface area =  2πr² + πr² + 2πrh

Surface area =  3πr² + 2πrh

Surface area =  (3 * 3.14 * 11²) + (2 * 3.14 * 11 * 34)

Surface area = 3488.54 ft²

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