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mezya [45]
3 years ago
8

Please help i’m struggling bad

Mathematics
2 answers:
tino4ka555 [31]3 years ago
7 0

Answer:

53

Step-by-step explanation:

86 = 2x - 20

<u>+20       +20</u>

<u>106 </u>= <u>2x</u>

2       2

53 = x

Rina8888 [55]3 years ago
6 0

Answer:

x = 53

Step-by-step explanation:

Those 2 are alternate interior angles. So that means they're the same

2x - 20 = 86     <-- Add 20 to the right side

2x = 106     <-- Divide by 2

x = 53

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Answer:

132 feet

Step-by-step explanation:

we know that

The scale is equal to \frac{1}{12}\ \frac{in}{ft}

That means ---> 1 inch in the model represent 12 feet in the actual

To find the actual dimensions of the airplane, divide the dimensions of the model by the scale

so

11\ in:\frac{1}{12}\ \frac{in}{ft}=11(12)=132\ ft

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Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes bel
Ann [662]

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

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 = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7709

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93

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

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02

The margin of error for a 90% confidence interval when n = 45 is 10.02.

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2 years ago
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Answer:

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