fsu statistics students' moms if there were only twenty-two students instead of fifty-two who contributed their moms' heights, what alternative assumption would we have had to make about the population of mom-heights if we wanted to use a one-sample confidence interval procedure (regardless of whether it would be z or t)? we would have had to assume that the population of mom-heights was ...

Answer:

see below

Step-by-step explanation:

TMN = TRS = 60 because they are similar triangles

Answer:

Probability = 0.500

Step-by-step explanation:

If it is given that the reader is a teen, we have a total of 80 readers, where 40 of those readers have Rowling as their favorite.

So the probability that the reader's favorite is Rowling given that the reader is a teen is the number of teen readers that have Rowling as favorite (40) over the total number of teen readers (80)

Probability = 40 / 80 = 0.500

Answer:

Step-by-step explanation:

XY is the midsegment of the given triangle.

XY = 1/2GE, as per definition of midsegment

Substitute and solve for x:

X and Y are midpoints

the term 35x^3y^4 could appear in the binomial expansion of (5x^2y^3 + 7/5)^2.

The term 35x^3y^4 involves x raised to the power 3 and y raised to the power 4. Therefore, this term could appear in the expansion of (5x^2y^3)^2, which is equal to 25x^4y^6. The term 35x^3y^4 is not part of this expression, but we can obtain it by multiplying 25x^4y^6 by (7/5) to get:

(7/5) × 25x^4y^6 = 35x^3y^4

what is binomial expansion?

Binomial expansion refers to the algebraic expansion of an expression that has two terms connected by addition or subtraction. It involves raising a binomial expression to a certain power using Pascal's triangle or the binomial theorem. The expansion results in a polynomial expression with several terms, each consisting of a coefficient and a variable raised to a power. Binomial expansion has various applications in mathematics, including probability theory, combinatorics, and calculus.

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Answer:

3

Step-by-step explanation:

edge 2022

(a) The 3-permutations of s are:

{1,2,3}

{1,2,4}

{1,2,5}

{1,3,2}

{1,3,4}

{1,3,5}

{1,4,2}

{1,4,3}

{1,4,5}

{1,5,2}

{1,5,3}

{1,5,4}

{2,1,3}

{2,1,4}

{2,1,5}

{2,3,1}

{2,3,4}

{2,3,5}

{2,4,1}

{2,4,3}

{2,4,5}

{2,5,1}

{2,5,3}

{2,5,4}

{3,1,2}

{3,1,4}

{3,1,5}

{3,2,1}

{3,2,4}

{3,2,5}

{3,4,1}

{3,4,2}

{3,4,5}

{3,5,1}

{3,5,2}

{3,5,4}

{4,1,2}

{4,1,3}

{4,1,5}

{4,2,1}

{4,2,3}

{4,2,5}

{4,3,1}

{4,3,2}

{4,3,5}

{4,5,1}

{4,5,2}

{4,5,3}

{5,1,2}

{5,1,3}

{5,1,4}

{5,2,1}

{5,2,3}

{5,2,4}

{5,3,1}

{5,3,2}

{5,3,4}

{5,4,1}

{5,4,2}

{5,4,3}

(b) The 5-permutations of s are:

{1,2,3,4,5}

{1,2,3,5,4}

{1,2,4,3,5}

{1,2,4,5,3}

{1,2,5,3,4}

{1,2,5,4,3}

{1,3,2,4,5}

{1,3,2,5,4}

{1,3,4,2,5}

{1,3,4,5,2}

{1,3,5,2,4}

{1,3,5,4,2}

{1,4,2,3,5}

{1,4,2,5,3}

{1,4,3,2,5}

{1,4,3,5

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The graph that represent the inequality is C.

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Therefore, let's solve the inequality and then represent it on a number line.

Therefore,

16x - 80x < 37 + 27

-64x < 64

divide both sides by -64

The inequality sign will change to the opposite when we divide both sides by a negative number.

x > 64 / -64

x > - 1

Therefore, the answer to the inequality is C.

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The x-intercepts of a quadratic function are the points where the function graph intersects the x-axis. To find the x-intercepts of the given quadratic function, we need to determine the values of x when the y-value (or the function value) is equal to 0.

From the given information, we can see that the quadratic function passes through the points (-2, 0) and (1, 0), which indicates that the function intersects the x-axis at x = -2 and x = 1. Therefore, the quadratic function x-intercepts are (-2, 0) and (1, 0).

The correct answers are (d) (-2, 0) and (1, 0).

As describes in geometry the area of the rectangle = 288cm

what is geometry ?

The area of mathematics known as geometry is concerned with the characteristics of the surrounding space as well as the shapes of individual objects and their spatial relationships.

solution

radius of semicircle = 12

diameter will be = 24 and this is the length of rectangle s given in the question

area of the rectangle  = l*b

                                     = 24*12

area of the rectangle = 288cm

Hence the area of the rectangle = 288cm

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Answer:

m = -1

n= -8

Step-by-step explanation:

5m -3n = 19

m - 6 = -7

solve for m:

m = -7+6

m = -1

plug in m

5(-1) - 3n = 19

-5 - 3n = 19

-3n = 24

n = -8

Answer:

B = 10

Step-by-step explanation:

5B + 6 + 4B - 6 = 90

9B + 0               = 90

Therefore,      B = 10

The Orthogonal diagonal augmented matrix of A is  \(\left[\begin{array}{cccccc}-8.6037 & 0 & 0 &-2.807 & 0.7596 & -0.60288\\0& 4.6575 & 0 &-2.319 & -0.4774 & 1.1351\\0&0& 15.94621 & 1 & 1 &1\end{array}\right]\\\)

The given matrix is A = \(\left[\begin{array}{ccc}-1 & -9 & 0\\-9 & 5 & 7\\0 & 7 &8\end{array}\right]\)

A can be diagonalized if there exists a invertible matrix P and the diagonal matrix D such that A = PDP⁻¹

So , We've to find eigen values of A

| A - λI | = 0

=> \(\left|\begin{array}{ccc}(-1- \lambda) & -9 & 0\\-9 & (5- \lambda) & 7\\0 & 7 &(8- \lambda)\end{array}\right| = 0\)

=> (-1 - λ)(-9 - 13λ +λ²) +9(-72 + 9λ) + 0(-63) = 0

=> (9 + 22λ + 12λ² -λ³) + (-648 + 81λ) = 0

=> ( -λ³ + 12λ² +103λ + 639) = 0

=>  λ³ - 12λ² - 103λ - 639 = 0

Roots can be found using Newton Raphson method ,

=> λ₁ =  4.6575

Now , using long division

=>  λ₂ = -8.6037 and  λ₃ = 15.9462

Now , the eigenvectors for λ = -8.6037

=> \(v_1 = \left[\begin{array}{c}-2.8075\\ -2.3719\\1\end{array}\right]\)

Eigenvectors for λ=  4.6575

Using row operations ,

=> \(v_2 = \left[\begin{array}{c}0.7596\\ -0.4774\\1\end{array}\right]\)

Eigenvectors for  λ₃ = 15.9462

=> \(v_3 = \left[\begin{array}{c}-0.028 \\ 1.1351 \\1 \end{array}\right]\)

Therefore. P matrix is compose by eigenvectors

P= \(\left[\begin{array}{ccc}-2.807 & 0.7596 & -0.60288\\-2.319 & -0.4774 & 1.1351\\1 & 1 & 1\end{array}\right]\)

The diagonal matrix D is composed of the eigenvalues ,

D = \(\left[\begin{array}{ccc}-8.6037 & 0 & 0\\0& 4.6575 & 0\\0&0& 15.9462\end{array}\right]\)

Hence , the augmented matrix

[D P] = \(\left[\begin{array}{cccccc}-8.6037 & 0 & 0 &-2.807 & 0.7596 & -0.60288\\0& 4.6575 & 0 &-2.319 & -0.4774 & 1.1351\\0&0& 15.94621 & 1 & 1 &1\end{array}\right]\\\)

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Answer:

yor answer is 52

Step-by-step explanation:

In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".

They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.

They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.

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If tan theta < 0 and sec theta > 0, the terminal side of theta could lie in either the second quadrant or the fourth quadrant.

If csc theta > 0, the terminal side of theta could lie in either the first quadrant or the second quadrant.

If sin theta < 0 and cot theta < 0, the terminal side of theta could lie in either the third quadrant or the fourth quadrant.

1. If tan theta < 0 and sec theta > 0, the terminal side of theta could lie in either the second quadrant or the fourth quadrant. This is because tan theta is negative in the second and fourth quadrants, and sec theta is positive in the first and fourth quadrants.

2. If csc theta > 0, the terminal side of theta could lie in either the first quadrant or the second quadrant. This is because csc theta is positive in the first and second quadrants.

3. If sin theta < 0 and cot theta < 0, the terminal side of theta could lie in either the third quadrant or the fourth quadrant. This is because sin theta is negative in the third and fourth quadrants, and cot theta is negative in the second and third quadrants.

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Answer:

just ask yo principle how many kids they are and then make up a estimate close to the actual number of kids

Step-by-step explanation:

jhgtyr

Estimate the number of students in the school by analyzing historical enrollment data, considering local demographics, and consulting with school staff.

We have,

Estimating the number of students in a school involves making an educated guess based on available information and data.

- Gather Existing Data: Start by collecting any available data related to the school's enrollment. This could include past enrollment records, official reports, or information from the school administration.

- Use Historical Trends: Analyze enrollment trends over the past few years. Look for patterns, such as steady growth or decline, that could help you project the current enrollment.

- Consider Grade Levels: If you know the number of classes or grade levels and the average class size, you can estimate the total number of students. Multiply the average class size by the number of classes or grade levels.

- Local Population and Demographics: Consider the local population and demographic factors. Is the population of the surrounding area growing or shrinking? Are there any changes in birth rates or migration patterns that might impact school enrollment?

- Utilize Census Data:

- Interview School Staff

- Benchmark with Similar Schools

- Account for Transfers and Attrition

Thus,

Estimate the number of students in the school by analyzing historical enrollment data, considering local demographics, and consulting with school staff.

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The standard error of the sample mean is 1.21.

Given;

Suppose a diet regimen for men results in an average weight loss of between 13. 4 and 18. 3 pounds, according to a 95% confidence interval. These findings were based on a group of 42 men who were classified as overweight at the beginning of the four-month trial.

A 95% confidence interval for a population mean is (13.4, 18.3)

Upper limit = 18.3

Lower limit = 13.4

Since population SD is unknown, this interval is constructed using the t distribution.

n = 42

c = 0.95

∴ α = 1 - c = 1 - 0.95 = 0.05

α/2 = 0.025

Also, d.f = n - 1 = 42 - 1 = 41

∴ ta/2.d.f =  ta/2.n-1  =  t0.025,41  =  2.02 . . . . use t table

Now,

The margin of error = (Upper limit - Lower limit)/2

                                 = (18.3 - 13.4)/2

                                 = 2.45

But,

Margin of error = ta/2.d.f-  * (s / \sqrt{} n)

Margin of error = ta/2.d.f-  * Standard error

2.45 = 2.02 * Standard error

Standard error = 1.2129

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Answer:

5.99 dollars per pound

Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

The income from operations of your business is $2,12,440.

Given:

Your restaurant has a gross profit of $274,232, administrative expenses of $29,147 and marketing expenses of 32,645.

Total expenses = administrative + marketing expenses

= $29,147 + $32,645

= $61792

Income = gross profit - total expenses

= 274232 - 61792

= $2,12,440

Therefore the income from operations of your business is $2,12,440.

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The explanation of each statement in each given situation is given below:

a. B(0) = 0

depth in inches 0 minutes after filling began is 0; that is at time =0; depth =0

b. B(1) < B(7)

B(1) represents the function one minus after filling began

c. B(9) = 11

depicts that the depth in inches of water 5 minutes after filling is 11

d. B(10) = B(22)

depicts that the depth in inches of water 10 minutes after filling began is 22.

e. B(20) > B(40)

represents the function 20 minutes after filling began

These are the required answers

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The question translated in English is: "#7. Tyler filled his tub, took a shower, and then drained the tub. Function B gives the depth of the water,

inches, t minutes after Tyler started filling the tub.

Explain the meaning of each statement in this situation.

to. B(0) = 0

b. B(1) C.B(9) = 11

d. B(10) = B(22)

and. B(20) > B(40)"

Answer:

Ella's grade has more boys than Minh's grade. = False

Minh's grade has more boys than Ella's grade. = True

Ella's grade has 15 boys = True

Minh's grade has 8 boys = False

Step-by-step explanation:

Each grade has a total of 20 girls.

For Ella's grade

The ratio of boys to girls in Ella's grade is 3 to 4. = 3:4

3 + 4 = 7

The number of students is represented as x

Hence,

4/7 × x = 20

4x = 20 × 7

4x = 140

x = 140/4

x = 35 students

The number of boys is

3/7 × 35 = 15 students.

The ratio of boys to girls in Minh's grade is 4 to 5 = 4:5

4 + 5 = 9

The number of students is represented as x

Hence,

5/9 × x = 20

5x= 20 × 9

5x = 180

x = 180/5

x = 36 students

The number of boys is

4/9 × 36 = 16 students.

Choose True or False for each statement below.

Ella's grade has more boys than Minh's grade. = False

Minh's grade has more boys than Ella's grade. = True

Ella's grade has 15 boys = True

Minh's grade has 8 boys = False

The formula for a line segment is:

segment = √((x2 - x1)^2 + (y2 - y1)^2)

1. Calculate the difference between the x-coordinates: x2 - x1

2. Square the result of step 1: (x2 - x1)^2

3. Calculate the difference between the y-coordinates: y2 - y1

4. Square the result of step 3: (y2 - y1)^2

5. Add the results of step 2 and step 4: (x2 - x1)^2 + (y2 - y1)^2

6. Calculate the square root of the result of step 5: √((x2 - x1)^2 + (y2 - y1)^2)

This final result is the length of the line segment.

The formula for a line segment is relatively straightforward. Begin by calculating the difference between the x-coordinates (x2 - x1) and square the result. Then find the difference between the y-coordinates (y2 - y1) and square the result. Add the two results together and take the square root of the sum. This final result is the length of the line segment. This formula can be used to calculate the length of any line segment, regardless of its size or shape.

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

  323.0%

Step-by-step explanation:

That can be found by multiplying the ratio by 100%:

  562/174 ×100% ≈ 323.0%

562 is 323.0% of 174.

Given:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).

To find:

The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.

Solution:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

If figure ABCD translated by the rule, \((x,y)\to (x,y-9)\), then

\(A(2,3)\to A_1(2,-6)\)

\(B(5,6)\to B_1(5,-3)\)

\(C(8,6)\to C_1(8,-3)\)

\(D(8,3)\to D_1(8,-6)\)

Then the figure rotated 180 degrees clockwise about the origin. So,

\((x,y)\to (-x,-y)\)

\(A_1(2,-6)\to A'(-2,6)\)

\(B_1(5,-3)\to B'(-5,3)\)

\(C_1(8,-3)\to C'(-8,3)\)

\(D_1(8,-6)\to D'(-8,6)\)

So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule \((x,y)\to (x,y-9)\) and then a 180° clockwise rotation about the origin".

Therefore, the correct option is D.

Answer:

$110

Step-by-step explanation:

total = $102 + $19 = $121

$121 = 110% of x

1.1x = 121

x = 121/1.1

x = 110

Answer: $110

There are approximately 28.28 quarts in 905 ounces.

A quart is a unit of volume measurement commonly used in the United States. One quart is equal to 32 fluid ounces.

To find out how many 905 ounces are in a quart, we need to divide 905 by 32.

905 oz ÷ 32 oz/qt = 28.28 qt

Therefore, there are approximately 28.28 quarts in 905 ounces.

Overall, it's important to understand the different units of measurement and how they relate to each other in order to perform accurate conversions between them. In this case, we used the conversion factor of 32 fluid ounces per quart to convert from ounces to quarts.

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The median of the density curve is -6.

To find the median of a density curve, we need to locate the value on the horizontal axis where half of the area under the curve lies to the left and half lies to the right.

In this case, the density curve is at a constant height of 1/8 from -10 to -2. To calculate the median, we need to find the x-value that splits the area under the curve into two equal halves. Since the curve has a constant height, the area under the curve is proportional to the width.

The total width of the curve from -10 to -2 is 8 units (-2 - (-10) = 8). To split the area in half, we need to find the x-value that represents half of the total width.

Half of the total width is (8 / 2) = 4 units. We start counting from the left end of the curve (-10) and count 4 units to the right.

Therefore, the median of the density curve is -6.

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