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2 years ago

Please answer these questions with the right answers

Mathematics

1 answer:

Ronch [10]2 years ago

8 0

Step-by-step explanation:

angle one one is the answer of second question

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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

If there are 5 routes to travel between A and B, how many options are there for a person to travel form A to B and retrun back?

kupik [55]

Answer:

Step-by-step explanation:

5 0

2 years ago

PLEASE HELP!!!!!!!! (ALGEBRA II)

qwelly [4]

Answer:

-4 4 4.5 8 20.5 32

Step-by-step explanation:

f $\circ$ g(x) = f(g(x))

Given, f(x) = 2x²

and g(x) = x - 2

Now f(g(x)) = f(x - 2) = 2(x - 2)²

We know that (a - b)² = a² - b² + 2ab

Using this we expand f(g(x)). We get:

f(g(x)) = 2{x² - 4x + 4}

Similarly, g(f(x)) = g(2x²) = 2x² - 2

Now, f(g(-2)) = 2[(-2)² - 4(-2) + 4] = 2(16) = 32.

Also, g(f(-2)) = 2[(-2)² - 2] = 2(2) = 4.

f(g(3.5)) = 2{(3.5)² -4(3.5) + 4} = 2[12.25 - 14 + 4] = 2(2.25) = 4.5.

g(f(3.5)) = 2{(3.5)² -2} = 2{12.25 - 2} = 2(10.25) = 20.5.

f(g(0)) = 2{0 - 4(0) + 4} = 2(4) = 8.

g(f(0)) = 2{0 - 2} = 2(-2) = -4.

Arranging them in ascending order, we get:

-4 4 4.5 8 20.5 32 would be the sequence.

5 0

3 years ago

2. A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as

oksano4ka [1.4K]

Answer:

2. 10 muffins with chocolate 30 without chocolate

Step-by-step explanation:

6 0

3 years ago

Which monomials are divisible by 6y^2?

kifflom [539]

Answer:

A) $12y^{3}$

Step-by-step explanation:

A) $\frac{12y^{3} }{6y^{2} }$

$=\frac{2y(6y^{2} )}{6y^{2}}$

= 2y

B) $\frac{24y}{6y^{2} }$

$=\frac{4}{y}$

Hence, $12y^{3}$ is divisible by $6y^{2}$ and the correct option is (A).

4 0

3 years ago

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