What is the surface area of the given figure? 1008 cm2, 1728 cm2, 1392 cm 2, 1216 cm2

PLEASE HELP ASAPPPPP Find the value of x for mAB= 27° and mCD= 49°. The figure is not drawn to scale

Minchanka [31]

Answer: the answer is B

Step-by-step explanation:

51.5

6 0

2 years ago

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A student records the repair cost for 22 randomly selected dryers. A sample mean of $98.78 and standard deviation of $15.49 are

Gelneren [198K]

Answer:

The critical value that should be used is T = 2.0796.

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 22 - 1 = 21

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0796, which is the critical value that should be used.

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.0796\frac{15.49}{\sqrt{22}} = 6.868$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.78 - 6.868 = $91.912

The upper end of the interval is the sample mean added to M. So it is 98.78 + 6.868 = $105.648

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

8 0

2 years ago

Leila puts an integer into the "In" box of each machine.

kykrilka [37]

The machines represent equivalent expressions.

The output produced by both machines is 372

The equation represented on machine A is:

$\mathbf{y = 2(5x + 3) - 24}$

The equation represented on machine B is:

$\mathbf{y = 4(2(x + 11) - 7)}$

Where: x and y represent the inputs and the outputs, respectively

When the outputs are the same, it means:

$\mathbf{y = y}$

So, we have:

$\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}$

Open brackets

$\mathbf{10x + 6 - 24 = 8x + 88 - 28}$

$\mathbf{10x - 18 = 8x + 60}$

Collect like terms

$\mathbf{10x - 8x = 18 + 60}$

$\mathbf{2x = 78 }$

Divide both sides by 2

$\mathbf{x = 39 }$

Substitute 39 for x in $\mathbf{y = 2(5x + 3) - 24}$

$\mathbf{y = 2 \times (5 \times 39 + 3) - 24}$

$\mathbf{y = 372}$

Hence, the output produced by both machines is 372

Read more about equivalent expressions at:

brainly.com/question/15715866

4 0

2 years ago

What is the CORRECT answer?

gizmo_the_mogwai [7]

Answer:

bro use the dang fromula

Step-by-step explanation:

L*W=A divided by 2

3 0

2 years ago

If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the larg

vlabodo [156]

Consider all employees.

A.

gross pay $32,600 - 100%,
total job benefits $33,600 - x%.

Then

$\dfrac{32,600}{33,600}=\dfrac{100}{x},\\ \\32,600\cdot x=33,600\cdot 100,\\ \\x=\dfrac{33,600\cdot 100}{32,600}=\dfrac{33,600}{326} \approx 103.07.$

Employee A receives 3.07% of gross pay in employee benefits.

B.

gross pay $32,900 - 100%,
total job benefits $34,000 - x%.

Then

$\dfrac{32,900}{34,000}=\dfrac{100}{x},\\ \\32,900\cdot x=34,000\cdot 100,\\ \\x=\dfrac{34,000\cdot 100}{32,900}=\dfrac{34,000}{329} \approx 103.34.$

Employee B receives 3.34% of gross pay in employee benefits.

C.

gross pay $33,400 - 100%,
total job benefits $33,900 - x%.

Then

$\dfrac{33,400}{33,900}=\dfrac{100}{x},\\ \\33,400\cdot x=33,900\cdot 100,\\ \\x=\dfrac{33,900\cdot 100}{33,400}=\dfrac{33,900}{334} \approx 101.50.$

Employee C receives 1.50% of gross pay in employee benefits.

D.

gross pay $33,700 - 100%,
total job benefits $34,700 - x%.

Then

$\dfrac{33,700}{34,700}=\dfrac{100}{x},\\ \\33,700\cdot x=34,700\cdot 100,\\ \\x=\dfrac{34,700\cdot 100}{33,700}=\dfrac{34,700}{337} \approx 102.97.$

Employee D receives 2.97% of gross pay in employee benefits.

Answer: correct choice is B.

7 0

2 years ago

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