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2 years ago

I need help with problem 21

Mathematics

2 answers:

Paraphin [41]2 years ago

7 0

Aye bro it’s in the top left corner of the pic

leva [86]2 years ago

6 0

Answer:

X = 65

Step-by-step explanation:

The sum of the exterior angles of a polygon is 360°

Therefore, X + 111 + 50 + 36 + 98 = 360

Combine like terms: X + 295 = 360

Subtract 295 from both sides: X = 65

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Refer to the random sample of customer order totals with an average of $78.25 and a population standard deviation of $22.50. a.

zysi [14]

Answer:

a) $78.25- 1.64 \frac{22.50}{\sqrt{40}}= 72.416$

$78.25+ 1.64 \frac{22.50}{\sqrt{40}}= 84.084$

b) $78.25- 1.64 \frac{22.50}{\sqrt{75}}= 73.989$

$78.25+ 1.64 \frac{22.50}{\sqrt{75}}= 82.511$

c) For this case when we increase the sample size the margin of error would be lower and then the interval would be narrower

d) $ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

Solving for n we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

And replacing the info we have:

$n=(\frac{1.640(22.50)}{5})^2 =54.46 \approx 55$

Step-by-step explanation:

Part a

For this case we have the following data given

$\bar X = 78.25$ represent the sample mean for the customer order totals

$\sigma =22.50$ represent the population deviation

$n= 40$ represent the sample size selected

The confidence level is 90% or 0.90 and the significance level would be $\alpha=0.1$ and $\alpha/2 = 0.05$ and the critical value from the normal standard distirbution would be given by:

$z_{\alpha/2}=1.64$

And the confidence interval is given by:

$\bar X -z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

And replacing we got:

$78.25- 1.64 \frac{22.50}{\sqrt{40}}= 72.416$

$78.25+ 1.64 \frac{22.50}{\sqrt{40}}= 84.084$

Part b

The sample size is now n = 75, but the same confidence so the new interval would be:

$78.25- 1.64 \frac{22.50}{\sqrt{75}}= 73.989$

$78.25+ 1.64 \frac{22.50}{\sqrt{75}}= 82.511$

Part c

For this case when we increase the sample size the margin of error would be lower and then the interval would be narrower

Part d

The margin of error is given by:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

Solving for n we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

And replacing the info we have:

$n=(\frac{1.640(22.50)}{5})^2 =54.46 \approx 55$

3 0

3 years ago

4(4n-3)=24+4n I'm not sure how to solve this

puteri [66]

Answer: n=3

Step-by-step explanation:

7 0

3 years ago

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May someone help me?

klemol [59]

Divide the shape into 2 rectangles:

Area = Length x width

1 : 7 x 30 = 210

2: (25 -7) x (30-20) = 18 x 10 = 180

Total area = 210 + 180 = 390 square feet.

5 0

3 years ago

Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00.

andrew-mc [135]

The answer here would be C. <span>ON/C 6 8 – 5 – 6 2 . 5 0 + 7 5 =

Following her keypresses, she has to turn the calculator on by pressing "ON/C". Entering her current balance, she presses 6 then 8, subtracting her 2 checks by entering "-" then 5, and again for 62.50. Lastly, she adds the amount deposited which is 75. Pressing the "=" sign then tells her how much her new balance is.</span>

8 0

3 years ago

What is the formula for a parallelogram

ICE Princess25 [194]

The formula is base*height.
This is because in a parallelogram (a slanted one), you can multiply base*height and the triangle from the other side can be moved.
Which is why it's also the formula for rectangle and squares since they are also parallelograms

3 0

3 years ago

Read 2 more answers