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gavmur [86]
3 years ago
12

9. The amount of money Allen earns varies directly with the amount of time he works. He earns

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

47.5

Step-by-step explanation:

19÷2=9.5x5=47.5

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Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.
dolphi86 [110]

Part A

Use the binomial probability distribution formula.

p = 0.54 = probability of getting a purple marble

n = 5 = sample size

x = 2 = number of purple we want to get

P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}\\\\P(2) = \frac{5!}{2!(5-2)!}*0.54^2*(1-0.54)^{5-2}\\\\P(2) = 10*0.54^2*0.46^3\\\\P(2) = 0.283831776\\\\

The \frac{n!}{x!(n-x)!} portion is from the nCr combination formula. The exclamation marks indicate a factorial.

Alternatively, you could use Pascal's Triangle for that portion.

<h3>Answer: 0.283831776</h3>

This decimal value is exact. Round it however you need to.

============================================================

Part B

To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.

n*p = 5*0.54 = 2.7

<h3>Answer: 2.7</h3>
6 0
2 years ago
A letter to europe from the united states costs $0.80 to mail. a letter mailed within the united states cost $0.37. nancy mails
densk [106]
She only sen 2 to Europe.
5 0
3 years ago
5 Discuss FIVE important steps relating to career decision making​
QveST [7]
Identify what you are good at,
Subjects you are good in,
Types of careers that are in the job market
Salary of that certain career
And the type of working environment that you want to work in e.g indoors or outdoors

Plz mark as brainleast plzzz
3 0
3 years ago
Why did the inequality sign flip?
kumpel [21]

Answer:

We multiplied by a negative number (-8)

We divided by a negative number (-8)

Step-by-step explanation:

Multiplying or dividing both sides of an equation by a negative number changes the inequality of the equation, because it changes the sign of each side of the equation

6 0
2 years ago
Line AB contains points A (−6, 3) and B (2, −5). Line AB has a slope that is
nirvana33 [79]
Slope of a line contatining the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

so slope between (-6,3) and (2,-5) is
(-5-3)/(2-(-6))=(-8)/(2+6)=-8/8=-1

the slope is -1
8 0
3 years ago
Read 2 more answers
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