The answer is 29,032,000,000
Add 7 both sides
5b>20
divide both sides by 5
b>4
To solve this problem, we make use of the z statistic.
The formula for the confidence interval can be calculated using the formula:
Confidence Interval = p ± MOE
where,
p is the portion of girls = 278 / 556 = 0.5
MOE is the margin of error
We calculate the margin of error using the formula:
MOE = z * sqrt[p (1 – p) / n]
From the standard distribution tables, the value of z at 99% confidence is:
z = 2.58
Therefore the MOE is:
MOE = 2.58 * sqrt[0.5 (0.5) / 556]
MOE = 0.055
Therefore the confidence interval is:
Confidence Interval = 0.5 ± 0.055
Confidence Interval = 0.445, 0.555
0.445<p<0.555
Answer:
0.588
Step-by-step explanation:
By law of large number, the probability of the mean of 30 boards sample would be the same as 1 sample being between 94.8 in and 95.8 in within a normal distribution with mean 95 and standard deviation of 0.52. We can calculate this probability by subtracting the cumulative probability of 94.8 from the cumulative probability of 95.8 in.
P(94.8<x<95.8) = P(x < 95.8) - P(x < 94.8) = 0.938 - 0.35 = 0.588