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3 years ago

Comment all that apply

Mathematics

1 answer:

choli [55]3 years ago

4 0

90°
∠AEF is a right angle
∠CEF is a straight angle
m∠CEF = m∠CEA + m∠BEF

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mark is baking blueberry muffins for a school fundraiser the recipe calls for one cup of vegetable oil for every 12 muffins how

Vika [28.1K]

Answer:
5 cups of vegetable oil

Explanation:
1/12*5/5= 5/60
So, for 60 muffins you will need 5 cups of vegetable oil.

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3 years ago

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The sum of the interior angles of a polygon measure 2880°. what is the name of the polygon?

Katyanochek1 [597]

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3 years ago

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2 years ago

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The number 17 to the power of three over five can be written in the form a root of 17 to the power of b. What is the value of B?

sashaice [31]

We have the following expression:
17 ^ (3/5)
We rewrite the expression.
We have then:
a ^ root (17 ^ b)
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3 years ago

A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele

liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of Americans are afraid of being alone in a house at night.

This means that $p = 0.05$

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596$

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0

3 years ago