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antiseptic1488 [7]
2 years ago
14

Hannah wants to rewrite 18+12 using the greatest common factor and the distributive property. Which expression should she write?

Mathematics
1 answer:
lyudmila [28]2 years ago
4 0

Answer:

A

Step-by-step explanation:

18 + 12 = 30

A: 6 (3 + 2) = 30

Simplified 6*5 = 30

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A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

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3 years ago
9 3/4 - 1 1/4 in simplest form
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8 1/2 would be the answer to this question
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What is the final price (before sales tax) for a set of golf clubs that cost $800 if they are on sale for 30% off?
Anastasy [175]

Answer:

D. $560

Step-by-step explanation:

800 x .3 equals 240.

800 minus 240 gives you 560

Mark me as brainliest if this helps!

4 0
2 years ago
What is 0.875 written as a number name?
Ainat [17]

Answer:

How to write out number 0.875: eight hundred seventy-five thousandths

Step-by-step explanation:

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3 years ago
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