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Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

3 0

Given: 2/3 every 30 seconds

If we cut 2/3 in half, we get 1/3. This would also mean we cut the time in half 30 / 2 = 15 seconds

Therefore, 1/3 of the length every 15 seconds.

15 + 15 + 15 = 45 seconds to go the full length of the path

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marusya05 [52]

Answer:

The probability that the proportion of books checked out in a sample of 412 books would differ from the population proportion by less than 4% is P=0.9255.

Step-by-step explanation:

The population's proportion is $\pi=0.29$

If we take a sample of 412 books (n=412), we have a standard deviation of the sampling distribution of:

$\sigma_M=\sqrt{\frac{\pi(1-\pi)}{n}}=\sqrt{\frac{0.29*0.71}{412}}=\sqrt{0.0005} =0.0224$

We have to calculate the probabilty that the sample proportion will be between 0.25 and 0.33.

$z_1=(0.25-0.29)/0.0224=-0.04/0.0224=-1.7857\\\\z_2=1.7857\\\\\\P(0.25$

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I think it is 2.5 but not sure correct me if i am wrong

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2 years ago

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