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.

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

8 0

3 years ago

Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of

ale4655 [162]

Answer:

350gallons /minute

Step-by-step explanation:

D = minimun depth of mine

4D-250 = minimum gallon per minute required to pump

4(150)- 250= 350gallon/minute

5 0

2 years ago

Simplify : 48÷6 [-52 ÷2 {4 - 3 (2 - 15÷3)}]

garri49 [273]

Answer:

Step-by-step explanation:

$48÷6 [-52 ÷2 {4 - 3 (2 - 15÷3)}] \\ 8[-52 ÷2 {4 - 3 (2 - 15÷3)}] \\ 8[-52 ÷2{1 (2 - 15÷3)}] \\ 8[ - 2.5{ (2 - 15÷3)}] \\ 8[ - 2.5{ ( - 13÷3)}] \\ 8[ - 2.5{ ( - 4.3)}] \\ 8[10.75 { }] \\ = 86$

8 0

1 year ago