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Artist 52 [7]
3 years ago
5

Please help (10 points) asap

Mathematics
1 answer:
slava [35]3 years ago
4 0

Answer:

A) 60 Miles per gallon

B) 10 Mins per mile

C) $0.45 per ounce

:)

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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
Determine any data values that are missing from the tablo, assuming that the data represent a linear function.
mina [271]

Answer:

B.

Step-by-step explanation:

Missing xx:1 Missing y:5

7 0
2 years ago
Tyler walk 2 miles a day for the first week of his exercise plan then he walked 3 miles a day for the next nine days how many mi
igor_vitrenko [27]
Answer is 41 miles total

Equation is (2miles x 7) + (3 miles x 9) = total

14 + 27 = total miles

41 = total miles
4 0
1 year ago
How do you solve 6x + 2(x-4)=8+4(x+2)
babunello [35]

Answer:

\LARGE{ \underline{\underline{ \sf{\pink{ Required\: answer:}}}}}

6x + 2 ( x - 4) = 8 + 4 ( x + 2)

6x + 2x - 8 = 8 + 4x + 8

<em><u>Arranging</u></em><em><u> </u></em><em><u>like</u></em><em><u> </u></em><em><u>terms</u></em><em><u> </u></em>

6x + 2x - 4x = 8 +8 - 8

8x - 4x = 8

4x = 8

x = 8/4

x = 2

7 0
2 years ago
The nth term of a sequence is 5n.<br> Work out the 10th term of this sequence.
Lilit [14]

Answer:

The 10th term is 50

Step-by-step explanation:

5(10) = 50

6 0
2 years ago
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