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2 years ago

Suppose angles A and B are complementary angles and m∠A = (x-5)° and m∠B = (2x+20)° Solve for X and then find m∠A and m∠B

Mathematics

1 answer:

MariettaO [177]2 years ago

3 0

The angles are x =25, angle A = 20 and B = 70

<h3>How to solve for the angles?</h3>

The given parameters are:

A = x - 5

B = 2x + 20

Both angles are complementary angles.

This means that:

x - 5 + 2x + 20 = 90

Evaluate the like terms

3x = 75

Divide both sides by 3

x = 25

Substitute x = 25 in A = x - 5 and B = 2x + 20

A = 25 - 5 = 20

B = 2 * 25 + 20 = 70

Hence, the angles are x =25, angle A = 20 and B = 70

Read more about complementary angles at:

brainly.com/question/98924

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Construct a confidence interval for p1-p2 at the given level of confidence.

Georgia [21]

Using the z-distribution, the 90% confidence interval for the difference of proportions is given by: (-0.0534, 0.0434).

<h3>What is the mean and the standard error for the distribution of differences?</h3>

For each sample, the mean and the standard error are given as follows:

$p_1 = \frac{30}{235} = 0.1277, s_1 = \sqrt{\frac{0.1277(0.8723)}{235}} = 0.0218$ .

$p_2 = \frac{39}{294} = 0.1327, s_1 = \sqrt{\frac{0.1327(0.8673)}{294}} = 0.0198$ .

For the distribution of differences, they are given by:

$\overline{p} = p_1 - p_2 = 0.1277 - 0.1327 = -0.005$ .

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0218^2 + 0.0198^2} = 0.0294$

<h3>What is the confidence interval?</h3>

The interval is given by:

$\overline{p} \pm zs$

In this problem, we have a 90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so the critical value is z = 1.645.

Hence the bounds of the interval are:

$\overline{p} - zs = -0.005 - 1.645(0.0294) = -0.0534$

$\overline{p} + zs = -0.005 + 1.645(0.0294) = 0.0434$

More can be learned about the z-distribution at brainly.com/question/25890103

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4 0

2 years ago

A deck is being built around a rectangle swimming pool. The swimming pool is 35ft x 20ft and the deck has a uniform width of 7ft

adell [148]

Answer:

700ft

Step-by-step explanation:

35 x 20 = 700

3 0

3 years ago

The least number to be added to 89 to make it a perfect square is ______.

Neko [114]

Answer: 11

Step-by-step explanation:

The closest square to 89 is 100.

so you have to add 11 to get 100

6 0

3 years ago

-x = -7 what doesthe equal and how do you do it

vampirchik [111]

X=7
But to show your work you would put
-1x=7
Then divide -1x by -1 and 7 by -1 to cancel it out, and you get x=8

6 0

3 years ago

If 126 base n is equal to 86 find the positive value of n

RoseWind [281]

Answer:

0.68?

Step-by-step explanation:

I am not from English speaking country so I am not sure about the first sentence but the second

126n = 86 | /126

n = 86/126

n ≈ 0,68

8 0

3 years ago