The length of timber cuts are normally distributed with a mean of 95 inches and a standard deviation of 0.52 inches. in a random sample of 30 boards, what is the probability that the mean of the sample will be between 94.8 inches and 95.8 inches? homework :

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

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

the diameter is 16 cm. are you a teacher?

step-by-step explanation: