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3 years ago

What is the answer for both?

Mathematics

1 answer:

Mashutka [201]3 years ago

5 0

Answer:

5. D

6. I think D. Because is y=mx+b and b is y the intercept in y. Y= 0-4 and replacing the -4 would remain at the end

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According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

3 years ago

A patient is on a weight loss plan. At the beginning, the patient weighed 279 pounds. The first week, he lost 5.5 pounds. The 2n

Stolb23 [73]

The patient weighs about 268 pounds after the 4 week diet.

6 0

3 years ago

Read 2 more answers

One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?

seropon [69]

Answer:

The integers are (x, y) = (40, 8).

Step-by-step explanation:

x = 5y

xy = 320

Substitute the first equation into the second equation.

(5y)(y) = 320

5y^2 = 320

y^2 = 64

y = 8 (y must be positive)

The integers are (x, y) = (40, 8).

6 0

3 years ago

A bus travels at a speed of 80km per hour . what is the distance it travels by 15 mins.

Tatiana [17]

Answer:

The bus will travel 20km within 15 minutes

Step-by-step explanation:

6 0

3 years ago

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Al can wash a car in 60 minutes, and bill can wash a car in 30 minutes. cathy can wash a car in 20 minutes. how long, in minutes

choli [55]

B) 36

To figure this out you need to average the numbers. To average them you add them all up and divide by how many are there.
(60+30+20)/3
(90+20)/3
110/3
36

3 0

4 years ago

What is the answer for both? ​

What is the answer for both?