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Alchen [17]
3 years ago
15

Can someone please help me? :) Math, 8th grade, K12

Mathematics
1 answer:
Aneli [31]3 years ago
5 0

Answer:

The first graph does NOT represent a function because it fails the vertical line test.  

Step-by-step explanation:

If you draw a vertical line through this graph, for x > 0, the line will intersect the graph in more than one place.  That tells you immediately that this graph does snot represent a function.

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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
3(x+7)+12x-7(x+1)+9-4x<br> Need answer and explaintion
seraphim [82]

Answer:

4

x

+

23

Step-by-step explanation:

5 0
2 years ago
What is the distributive property of 18(12)
Lesechka [4]

The distributive property of 18(12), or simply 18 * 12, is 216. (This is your answer.)

7 0
3 years ago
Solve A = 1/2bh, for b
Kitty [74]

Answer:

b=2A/h

Step-by-step explanation:

First I throw everything else to another side with A by dividing them

(A = b)/2h

then I get

b=2A/h

7 0
3 years ago
Read 2 more answers
Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make
Lisa [10]

9514 1404 393

Answer:

  The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.

Step-by-step explanation:

The contribution margin of each necklace is the difference between its selling price (x) and its cost (2.75). Then the total profit from 8 necklaces would be ...

  8(x -2.75)

If Rita wants that profit to be $78, then she needs to solve the equation ...

  8(x -2.75) = 78 . . . . correct equation

The solution is ...

  x -2.75 = 9.75 . . . . divide by 8

  x = 12.50 . . . . . . . . add 2.75

She needs to sell each necklace for $12.50.

4 0
3 years ago
Read 2 more answers
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