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valentinak56 [21]
3 years ago
13

Simplify the expression 3^5*6^-6/3^3*6^-4 A. 180 B. 5/2 C. 1/4 D. 3/20

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0
<span>3^5*6^-6/3^3*6^-4
= 3^(5-3) 6^(-6+4)
=3^2 6^-2
= 9/36
= 1/4

answer


</span><span>C. 1/4</span>
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Part (a)

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<h3>Answer: 7/10</h3>

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Part (b)

We have 3 green out of 10 total

<h3>Answer: 3/10</h3>

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Part (c)

3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)

So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.

<h3>Answer: 9/100</h3>

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Part (d)

Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.

(7/10)*(7/10) = 49/100

<h3>Answer: 49/100</h3>

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Part (e)

7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.

(7/10)*(3/10) = 21/100

<h3>Answer: 21/100</h3>

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Part (f)

We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).

<h3>Answer: 21/100</h3>
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Leila and jo are two of the partners in a business. Leila makes $3 in profits for every $4 that jo makes. If jo makes $60 profit
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