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2 years ago

Please help with these two pictures! I will mark brainliest!

Mathematics

1 answer:

Eva8 [605]2 years ago

8 0

ANSWER:

Question No. 1 -
37°

Question No. 2 -
Angles A and E

STEP-BY-STEP EXPLANATION:

Question No. 1 -

Angle sum of a triangle = 180°

THEREFORE:

Let unknown third angle in each triangle = x

x + 90 + 53 = 180

x = 180 - 90 - 53

x = 37°

Question No. 2 -

Angles A and E are alternate angles on parallel lines. Alternate angles on parallel lines are congruent. Therefore, Angles A and E are congruent.

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Answer:

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Step-by-step explanation:

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2 years ago

Please help will mark Brainliest

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3 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

According to a study conducted in one city, 39% of adults in the city have credit card debts of more than $2000. A simple random

Butoxors [25]

Answer:

The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean $\mu = 0.39$ and standard deviation $s = 0.0488$

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

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In this question:

$p = 0.39, n = 100$

Then

$s = \sqrt{\frac{0.39*0.61}{100}} = 0.0488$

By the Central Limit Theorem:

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2 years ago