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2 years ago

HELP PLEEES ASAP i am so lost show your work

Mathematics

1 answer:

VladimirAG [237]2 years ago

6 0

Answer:

Quotient : 4

Deduct : 2

Difference : 2

Sum : 1

Total : 1

Divided by : 4

Product : 3

Of : 3

Is : 5

Step-by-step explanation:

Quotient is the answer to a division problem.

Deduct means minus, which is used in subtraction.

Difference is the answer to a subtraction problem.

Sum is the answer to an addition problem.

Total is also the answer to addition problem.

Divided by is division because of the word <em>divided.</em>

Product is the answer to a multiplication problem.

Of means to multiply. What is 1/3 of 24? 1/3 * 24 = 8

Is means equal. Like 24 is 3 times 8.

Hope this helps :)

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2 years ago

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>

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