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Leokris [45]
4 years ago
6

The prizes at a carnival tossing game are different stuffed animals. There are 34 tigers, 27 bears, 12 hippopotamuses, 16 giraff

es, and 22 monkeys. The carnival manager randomly selects a prize when a player wins the game. Determine the probability that the prize selected is not a hippopotamus. Give your answer as a decimal, precise to three decimal places.
Mathematics
1 answer:
NemiM [27]4 years ago
7 0

Answer:

Step-by-step explanation:

Your first step is to find the total number of animals, no matter what they are.

34 + 27 + 12 + 16 + 22 = 111 animals.

You could add all the numbers other than the 12 hippopotamuses together. If you did, you would get 99.

The answer is 99/111 = 0.892

Sometimes it is just easier to do the following. Find the the probability of getting a hippo and subtract that from 1.

12/111 = 0.108

And subtract this number from 1. One represents all of the possible animals.

1 - 0.108 = 0.892

Later on, when you get problems that are more complicated, the second way is the way to do it. It gives you lest grief.

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A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much ca
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Answer:

∴35.97 mg caffeine would be left in the system after 5 hours.

Step-by-step explanation:

Given that,

A cup of coffee has approximately 310 mg of caffeine.

Caffeine decrease at a rate 35% per hour.

Exponential Function:

y(t)=y_0(1-r)^t

y(t)= Amount caffeine after t hours

y_0= Initial amount of caffeine

r= rate of decrease

t = Time in hour.

Here y(t)=?, y_0 = 310 mg, r=35%=0.35, t= 5 hours

y(t)=310(1-0.35)^5

      =35.97 mg

∴35.97 mg caffeine would be left in the system after 5 hours.

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Answer:

y=\frac{1}{4} x+3

Step-by-step explanation:

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