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ad-work [718]
3 years ago
10

What is the value of X

Mathematics
2 answers:
NeX [460]3 years ago
7 0

We know that an inscribed angle is half the degrees of it's intercepted arc.

So,  Angle F = 1/2 Arc GE

8x + 10 = 1/2 (12x + 40)

8x + 10 = 6x + 20

2x = 10

x = 5

amid [387]3 years ago
4 0

Answer:

a. 5

Step-by-step explanation:

that is an acute angle which is less than 90*, the only answer choice to give u and acute angle is 5

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We would like to create a confidence interval.
Vlada [557]

Answer:

c.A 90% confidence level and a sample size of 300 subjects.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level 1-\alpha, we have the confidence interval with a margin of error of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

In this problem

The proportions are the same for all the options, so we are going to write our margins of error as functions of \sqrt{\pi(1-\pi)}

So

a.A 99% confidence level and a sample size of 50 subjects.

n = 50

99% confidence interval

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The margin of error is

M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.3642\sqrt{\pi(1-\pi)}

b.A 90% confidence level and a sample size of 50 subjects.

n = 50

90% confidence interval

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The margin of error is

M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.2623\sqrt{\pi(1-\pi)}

c.A 90% confidence level and a sample size of 300 subjects.

n = 300

90% confidence interval

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The margin of error is

M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.0950\sqrt{\pi(1-\pi)}

This produces smallest margin of error.

d.A 99% confidence level and a sample size of 300 subjects.

n = 300

99% confidence interval

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The margin of error is

M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.1487\sqrt{\pi(1-\pi)}

6 0
3 years ago
A sheet of paper is 8.5 in X 11 inches if you cut 2 in squared from each corner what is the area if the paper
IceJOKER [234]
A=length x height. First we want to know the area of the original sheet of paper. 8.5 x 11= 93.5 inches squared. Then we take two squares with side length 2 inches. The area of each of these squares is 2 x 2, or 4 inches. Since there are two, the total area we take away is 8 inches. We subtract 8 inches from 93.5 since we took it away, and the final area of the paper is 85.5 inches^{2}

Hope this helped!
3 0
3 years ago
The graph below represents which systems of inequalities?​
SashulF [63]

Answer:

Step-by-step explanation:

y > - x + 3

y ≤ 2x - 2

3 0
3 years ago
1. Let C be between D and E. Use the Segment addition Postulate to solve for v.
AURORKA [14]

By applying the segment addition postulate, the <u>value of v = 7</u>

  • According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:

DC + CE = DE

  • Given that:

DC = 2v-15\\\\CE = 3v-8\\\\DE = 27

  • Therefore, by substitution, we will have the following equation:

(2v-15) + (3v-8) = 27

  • Open the bracket and solve for the value of v.

2v-15 + 3v-8 = 27

  • Add like terms

5v - 23 = 27

  • Add 23 to both sides

5v - 23+ 23 = 27 + 23\\\\5v = 50

  • Divide both sides by 5

v = 10

Therefore, using the segment addition postulate, the <u>value of v = 10</u>

Learn more about the segment addition postulate here:

brainly.com/question/1721582

7 0
3 years ago
Pleaseeeeee graph the following
irina [24]

Answer:

<h3>Hope it helps...</h3><h3>have a great day/night</h3>

8 0
3 years ago
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