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Vsevolod [243]
3 years ago
7

Rosa's test scores are 78, 92, 88, and 89. What must she score on her next test to have an average of 90? A) 95 B) 97 C) 99 D) 1

03
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
3 0

Answer: D

<u>Step-by-step explanation:</u>

Let x represent the score on her next test

\frac{78 + 92 + 88 + 89 + x}{5} = 90

(5)\frac{78 + 92 + 88 + 89 + x}{5} = (5)90

78 + 92 + 88 + 89 + x = 5(90)

                      347 + x = 450

                    <u> -347      </u>   <u>-347 </u>

                                x = 103


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Answer:

The probability that exactly 5 are unable to complete the  race is 0.1047

Step-by-step explanation:

We are given that 25% of all who enters a race do not complete.

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p is the probability of success i.e. 25% = 0.25

q is the probability of failure =  1- p  = 1-0.25 = 0.75

We are supposed to find the probability that exactly 5 are unable to complete the  race

n = 30

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P(X=5) =^{30}C_5 (0.25)^5 (0.75)^{30-5}

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Hence the probability that exactly 5 are unable to complete the  race is 0.1047

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