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3 years ago

3.2.AP-4

1 answer:

3 0

Kevin traveled 120 miles

To answer this question first you have to figure out 30% of 400. I did this by first finding 10% of 400 (which is 40) and multiplying by 3 (120) I hope this helps :)

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At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper

Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution 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.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that $p = 0.3$

14 of these containers of paper.

This means that $n = 14$

What is the probability that John finds less than 7 golden sheets of paper?

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068$

$P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407$

$P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134$

$P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943$

$P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290$

$P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963$

$P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067$

90.67% probability that John finds less than 7 golden sheets of paper

7 0

2 years ago

What is the x-intercept of the equation -7x+3y=21

mezya [45]

Hello!!

Well, the x-intercept is found when y = 0, so plug in y = 0:

-7x + 3(0) = 21
-7x = 21
x = -3

Therefore, the x-intercept of -7x + 3y = 21 is -3.

Hope this helps!! Let me know if you have ANY questions.

7 0

2 years ago

Read 2 more answers

If f(x)=x^5-1 g(x)=5x^2 and h(x)=2x which expression is equivalent to [g*f*h](9)

vagabundo [1.1K]

F(x) = x^5 - 1; g(x) = 5x^2; h(x) = 2x

Answer:
$\underbrace{5(\underbrace{(\underbrace{2\cdot9}_{h(9)})^5-1}_{f(g(9))})^2}_{g(f(h(9)))}$ $\boxed{C.}$

6 0

3 years ago

Which equation could match the table?

DochEvi [55]

Answer:

y=2x+3

Step-by-step explanation:

in third line x = 0 y=2×0+3 =3

5 0

2 years ago

Read 2 more answers

Round it to nearest fifths

Yanka [14]

Answer:

mean = $11.15

median = $11.30

mode = $9.90, $10.70, $11.90, $12.05

Step-by-step explanation:

Ordered from smallest to largest

9.89, 10.71, 11.90, 12.06

The mean is the middle number.

There are two numbers in the middle so you have to add them together and divide by 2.

(10.71 + 11.90)/2 = 11.305

rounded 11.30

Mode is the number that appears the most. All of the prices are listed once. They are all the mode.

Mean is (10.71+11.90+9.89+12.06)/4 = 11.14

round 11.15

5 0

3 years ago