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TEA [102]
3 years ago
14

Write 2^100 as an exponent with a base of: 32

Mathematics
1 answer:
jeka943 years ago
8 0

Answer:

32^20

Step-by-step explanation:

Here you can either:

Convert to logarthmic format and use base changing formula.

OR

Simply do 2^100=32^x, find x.

I chose option 2 because its quicker here. However, it will not always work.






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Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a c
antoniya [11.8K]

The complete question is;

Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim for at least 5 years is 2/3.

The probability that all 5 have not filed a claim after 5 years is A: 0.132 B: 0.868 C: 1 , and the probability that exactly 3 will have filed a claim after 5 years is A: 0.016 B: 0.033 C: 0.067

Answer:

1) P(all 5 file no claim after 5 years) = 0.132

2) P(exactly 3 file claim after 5 years) = 0.033

Step-by-step explanation:

1) we are told that the probability of each of these people not filing a claim for at least 5 years is 2/3.

Thus, for all 5 of them,

The probability will be;

P(all 5 file no claim after 5 years) = (2/3)^5 = 0.1317 ≈ 0.132

2) since probability of each not filing a claim for last 5 years = 2/3

Then probability of each filing a claim after 5 years = 1 - 2/3 = 1/3

So, P(exactly 3 file claim after 5 years) = (1/3)^3 ≈ 0.037.

The closest answer is 0.033.

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B) 4 steps in front of where he started.
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3. If a customer has $50.00 to spend, for how many hours can they rent the bicycle?
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Answer:

4 hours

Step-by-step explanation:

Alright, so Steve has $50 in his pocket. He wants to rent a bike for the maximum amount of time possible with his money. It costs him $12 per hour to rent a bike.

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So Steve is able to rent the bike for 4.16 hours, but we aren't done yet. Steve cannot purchase 16% of an hour, he can only buy FULL hours, so with his $50 , the maximum amount of time he can buy is 4 hours!

Let me know if you need any further explanations :)

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