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Llana [10]
3 years ago
12

an electrician was hired to wire a new house. In 11 1/4 days he estimates he has completed 70% of the job. At his current pace o

f work, how long will it take him to complete the entire job?
Mathematics
1 answer:
malfutka [58]3 years ago
4 0
It will take him about 16.07 days.

To solve this problem, you can write a proportion to find the amount of time.

11.25 days / 70% = x days / 100%

If you cross multiply and divide this, you will get about 16.07.
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P(x)=^nC_xp^x(1-p)^n-x, where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.

Given : The proportion of students in College are near-sighted : p= 0.28

Sample size : n= 20

Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_

P(x=4)=^{20}C_4(0.28)^4(1-0.28)^{20-4}\\\\=\dfrac{20!}{4!16!}(0.28)^4(0.72)^{16}\\\\=0.155326604912\approx0.16\%

Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.

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