Pls help with this problem. This is due today!

According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o

Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that 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.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that $p = 0.304$

100 such adults

This means that $n = 100$

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

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

$P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803$

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0

2 years ago

Point A is located at (-3, 9) and point B is located at (12,-10). Find the distance from point A to point B rounded to the neare

Nezavi [6.7K]

Answer:

20

Step-by-step explanation:

$\sqrt{(( - 10) - 9)^{2} + (12 - ( - 3)) ^{2} }$

$\sqrt{( - 19)^{2} + (15)^{2} }$

$\sqrt{361 + 225}$

$\sqrt{586}$

$24.2074$

7 0

2 years ago

A drawbridge rises at a rate of 3 2/3 feet per minute. The drawbridge rises to a height of 50 feet. How long does it take the dr

k0ka [10]

Answer: Third option.

Step-by-step explanation:

You know that the drawbridge rises at a rate of $3\ \frac{2}{3}$ feet per minute. This means that the drawbridge rises $3\ \frac{2}{3}$ in a minutes.

Convert from mixed fraction to decimal number:

$3\ \frac{2}{3}\ ft=(3+0.66)\ ft=3.6\ ft$

Since the drawbridge rises to a height of 50 feet, you need to apply this procedure in order to find the time the drawbridge takes to completely rise:

$time=\frac{(1\ min)(50\ ft)}{3.66\ ft}=13.6\ min$ or $13\ \frac{7}{11}\ min$

7 0

3 years ago

Read 2 more answers

How do i evaluate the expression S=8;6s^2

bazaltina [42]

Good evening

Answer:

Step-by-step explanation:

s = 8 ⇒ 6s^2 = 6(8)²

= 6×64

= 384

_____________________

:)

3 0

3 years ago

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The sum of two numbers is 36. one number is 3 times as large as the other. what are the numbers

Veseljchak [2.6K]

Answer: 9 and 27
Explanation: x+3x=36
Combine like terms
4x=36
Divide by 4
X=9, which would be one of the numbers.

So if x = 9 we would do 3(9) which would equal 27

So the answer would be 9 and 27

Hope this helps!

3 0

3 years ago

Read 2 more answers