A company surveyed all of the employees in their Columbus, Ohio office,
one of their six national offices. Based on the survey they determined that
72% of all employees were satisfied with their job. Which of the following
explains why this is NOT a random sample?
A. They only surveyed people who had been at their job for five years or
more.
B. They did not survey employees in other offices around the country.
C. The survey was conducted electronically.
D. The survey had a time limit.

all work should be in the picture, lmk if theres anything confusing

Answer:

A = \(\frac{b * h}{2}\)

Step-by-step explanation:

This is is saying that the area is the base multiplied by the width and then divided by 2

Answer:

dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)

Step-by-step explanation:

x² / (x + y) = y² + 7

x² = (x + y) (y² + 7)

Take derivative of both sides with respect to x.  Use power rule, product rule, and chain rule.

2x = (x + y) (2y dy/dx) + (y² + 7) (1 + dy/dx)

Simplify.

2x = (2xy + 2y²) dy/dx + y² + y² dy/dx + 7 + 7 dy/dx

2x = (2xy + 3y² + 7) dy/dx + y² + 7

2x − y² − 7 = (2xy + 3y² + 7) dy/dx

dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)

Answer:

It's always located right in between the tenths place and the ones place.

000.000

Answer:

Step-by-step explanation:

125.5

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

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According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.

Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.

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Answer:

An arithmetic sequence occurs when the difference between each term and the next is constant. Therefore, only addition or subtraction is possible. Also, the amount (4, in this case) must remain the same when added to each successive term.

Answer:

4?

Step-by-step explanation:

Answer:

2n-(n+5)=3

Step-by-step explanation:

Check the picture below.

Make sure your calculator is in Degree mode.

\(\cos(25^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{12}}\implies 12\cos(25^o)=x\implies \boxed{10.876\approx x} \\\\[-0.35em] ~\dotfill\\\\ \sin(25^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{12}}\implies 12\sin(25^o)=z \\\\[-0.35em] ~\dotfill\\\\ \sin(50^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{y}}\implies y=\cfrac{z}{\sin(50^o)}\implies y=\cfrac{12\sin(25^o)}{\sin(50^o)}\implies \boxed{y\approx 6.62}\)

Answer:

The sample size for the data set = 56

Step-by-step explanation:

The sample size or number of individuals (n) is gotten from a histogram by summing up the total frequencies of occurrences.

In this example, the frequencies are: 2 4 6 8 10 12 14

Therefore, the sample size (n) is calculated as follows:

n = 2 + 4 + 6 + 8 + 10 + 12 + 14 = 56

Therefore the sample size for the data set = 56

The sample size for the data set = 56

Given that,

The calculation is as follows:

= 2 + 4 + 6 + 8 + 10 + 12 + 14

= 56

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Answer:

a

Step-by-step explanation:

x+2y=-10

-x       -x

2y=-10-x

y=(1/2)x-5

This is one of the lines and reduces the options to a or c.

3x-y=12

-3x    -3x

-y=12-3x

y=3x-12

This is the line with the positive slope and since both lines match, the answer is a.

Answer:

  A.  h(x) = √(x-2)

Step-by-step explanation:

To translate a function right by p units and up by q units, the function becomes ...

  g(x) = f(x -p) +q

Here, there is no translation upward, but there is a translation of 2 units to the right. The transformed function's name is given as h (not g), so you have ...

  (p, q) = (2, 0)

  h(x) = f(x -2) +0

  h(x) = √(x -2)

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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Answer:

m∠B = x

m∠A = 4x

x + 4x = 180

5x = 180

x = 180/5

x = 36

m∠B = x = 36°

m∠A = 4x = 4 * 36 = 144°

Answer is b. 144, 36

Step-by-step explanation:

Henry's chances of getting a second turn when he rolls the number cubes are 1/9 or approximately 11/18.

To find Henry's chances of getting a second turn when he rolls the number cubes, we need to find the probability of rolling an even number less than 10.

First, let's find the total number of possible outcomes when rolling two number cubes. Each cube has 6 possible outcomes (1, 2, 3, 4, 5, or 6), so the total number of possible outcomes is 6 x 6 = 36.

Next, let's find the number of outcomes that meet the criteria for a second turn (even number less than 10). We can list out all the possible outcomes that meet these criteria:

2 (1+1)

4 (1+3 or 2+2)

6 (1+5 or 2+4 or 3+3)

8 (2+6 or 3+5 or 4+4)

So, there are 4 outcomes that meet the criteria for a second turn.

To find the probability, we divide the number of favourable outcomes (4) by the total number of possible outcomes (36).

4/36 = 1/9

So Henry's chances of getting a second turn when he rolls the number of cubes are 1/9 or approximately 11/18.

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a. To graph the regression line, we can plot the data points and then draw the line with intercept -24.3117 and slope 0.8759. b. The predicted body fat for a man with a BMI of 30 is 19.1673%. c.  the residual for this observation is 2.5177%. d. The prediction for the BMI of 25 in part (c) was an overestimate.

A. We can use the least squares regression method to estimate the slope and intercept of the regression line. The formula for the slope b is:

b = (n∑XiYi - ∑Xi∑Yi) / (n∑Xi^2 - (∑Xi)^2)

Plugging in the given values, we get:

b = (250(125471.10) - (6322.28)(4757.90)) / (250(162674.18) - (6322.28)^2)

= 0.8759

The intercept a can be calculated using the formula:

a = ∑Yi/n - b(∑Xi/n)

Plugging in the given values, we get:

a = 4757.90/250 - 0.8759(6322.28/250)

= -24.3117

So the equation of the regression line is:

Y = -24.3117 + 0.8759X

To graph the regression line, we can plot the data points (BMI on the X-axis and body fat on the Y-axis) and then draw the line with intercept -24.3117 and slope 0.8759.

B. To predict the body fat for a man with a BMI of 30, we can plug in X = 30 into the equation of the regression line:

Y = -24.3117 + 0.8759(30)

= 19.1673

So the predicted body fat for a man with a BMI of 30 is 19.1673%.

C. To find the residual for a man with a BMI of 25 and observed body fat of 25%, we can calculate the difference between the observed and predicted values:

Residual = Observed Y - Predicted Y

= 25 - (-24.3117 + 0.8759(25))

= 2.5177

So the residual for this observation is 2.5177%.

D. The prediction for the BMI of 25 in part (c) was an overestimate, because the residual is positive. This means that the observed body fat was higher than what was predicted by the regression line.

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Final answer:

To estimate the values of both variables (Weight and Body Fat Percentage) for the case with the largest positive residual, find the corresponding values on the weight and body fat percentage axes. Estimate the predicted body fat percent by substituting the weight value into the regression line equation. Calculate the residual as the difference between the observed body fat percentage and the predicted body fat percentage.

Explanation:

When using weight to predict body fat percentage, a regression line is used to model the relationship between the two variables. The regression line represents the best-fit line that minimizes the sum of squared residuals. Residuals are the differences between the observed values and the predicted values on the regression line.

To find the case with the                                                                                                                                          we need to identify the data point that lies above the regression line by the greatest amount. This data point will have a higher observed body fat percentage than the predicted value based on weight.

Once we have identified this data point, we can estimate the values of both variables (Weight and Body Fat Percentage) by finding the corresponding values on the weight and body fat percentage axes.

To estimate the predicted body fat percent for this data point, we can substitute the weight value into the regression line equation. The equation of the regression line can be obtained through regression analysis.

The residual for this data point can be calculated as the difference between the observed body fat percentage and the predicted body fat percentage.

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Answer:

(1,5) I think that's what it is

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:5

Step-by-step explanation:

5098

Answer:

in English please

I'll help if you translate this into English

The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to

To simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.

Expanding the squared terms

(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)

Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:

(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)

Simplifying the expression, we have:

2 + 2sinxcosx + 2

Combining like terms, we get:

4 + 2sinxcosx

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A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

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Answer:

13

Step-by-step explanation:

since n is 4 substitute it where there's n in the equation

3(4)+1

12+1

13

I hope this helps

Answer:

13

Step-by-step explanation:

so you start with the equation 3n+1

since you know n=4 then u put it in place of n making the equation 3*4+1

then you multiply and it's 12+1 which equals 13

Answer:

400 ft³

Explanation:

The volume of a square pyramid can be calculated as:

Where a is the side of the square and h is the height of the pyramid.

Now, we need to calculate the height using the slant height, so we will use the following equation:

So, the height of the pyramid is equal to:

Then, the volume of the square pyramid is equal to:

Therefore, the answer is 400 ft³

Answer:

D. 161°

Step-by-step explanation:

m<2 is congruent to m<4, m<1 is congruent to m<3 by properties of a parallelogram

to find x:

4x-17=3x-8

x-17=-8

x=9

m<4=3(9)-8=19

so, m<4=19°

m<2 =19°

to find m<1:

the interior angles of a parallelogram add up to 360°

360-2(19)=2x

2x=360-38

2x=322

x=161°

m<1=161°

Answer

2

Step-by-step explanation:

Answer:

The value of x is 0.624.

Property used: Symmetric property of equality

Step-by-step explanation:

The expression to be solved is:

\(f (x) = 2.5\cdot (6.25x+0.5)-11\)

Compute the solution as follows:

\(f (x) = 2.5\cdot (6.25x+0.5)-11\)

       \(=(2.5\times 6.25\ x)+(2.5\times 0.5)-11\)

∵ Distributive property (a (b + c) = ab + ac)

       \(=15.625x+1.25-11\\=15.625x-9.75\)

Substitute equation equal to 0 to compute the value of x as follows:

\(0=15.625x-9.75\\\\15.625x=9.75\\\\\)

∵ Symmetric property of equality if a = b then b = a

\(x=\frac{9.75}{15.625}\\\\x=0.624\)

Thus, the value of x is 0.624.

Answer:

lol

Step-by-step explanation:

1.)  2.5(6.25x + 0.5) = 11

​2.)  15.625x + 1.25 = 11  

3.)  15.625x = 9.75

​4.)  x = 0.624

Reason

1.)  Given

2.)  Distributive Property  

3.)  Subtraction Property of Equality

4.)  ​Division Property of Equality