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3 years ago

What is an angle that is supplementary to AEB?

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

4 0

Answer:

There are two. <CEB and <AED. You could put either one.

Step-by-step explanation:

There are two. <CEB and <AED. You could put either one.

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Top earning app/game of usa

Nat2105 [25]

Answer:

Pokemon Go

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A survey conducted for the Northwestern National Life Insurance Company revealed that 70% of American workers say job stress cau

Bad White [126]

Answer:

a) The expected number is 5.

b) 0.25% probability that none of the workers say they will burn out in the near future

c) 97.93% probability that at least two of the workers say they will burn out in the near future

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they said they will burnout in the near future, or they did not. The probability of a person saying that they will burnout in the near future is independent of any other person. So the binomial probability distribution is used 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.

33 % said they expected to burn out in the job in the near future.

This means that $p = 0.33$

15 workers

This means that $n = 15$

a. Suppose a random sample of 15 American workers is selected. What is the expected number of these sampled workers who say they will burn out in the near future?

The expected number of the binomial distribution is given by the following formula:

$E(X) = np$

$E(X) = 15*0.33 = 5$

The expected number is 5.

b. What is the probability that none of the workers say they will burn out in the near future?

This is P(X = 0).

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

$P(X = 0) = C_{15,0}.(0.33)^{0}.(0.67)^{15} = 0.0025$

0.25% probability that none of the workers say they will burn out in the near future

c. What is the probability that at least two of the workers say they will burn out in the near future?

Either less than two say this, or at least two do. The sum of the probabilities of these events is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$ . So

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = C_{15,0}.(0.33)^{0}.(0.67)^{15} = 0.0025$

$P(X = 1) = C_{15,1}.(0.33)^{1}.(0.67)^{14} = 0.0182$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0025 + 0.0182 = 0.0207$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0207 = 0.9793$

97.93% probability that at least two of the workers say they will burn out in the near future

3 0

3 years ago

on a scale drawing,a book shelf is 8 inches tall the scale factor is 1/8. what is the height of the bookshelf

GenaCL600 [577]

The scale actual; size would have to be 64in. 8in in size. Scale size is 1/8 . Multiple by 8*8 64 :)

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3 years ago

Help with problems 8 to 13

Bogdan [553]

Ok, so 8. is adjacent because it makes up a 90 angle and number 13. is vertical because it has 2 lines going through each other.

7 0

4 years ago

Read 2 more answers

A Suppose you played Getting Close with only these game cards:

viva [34]

1/2 and 2/3 because they are the biggest numbers.
9/10 and 5/6 because they are the smallest numbers.

7 0

4 years ago