Answer:
9/125 or 0.072
Step-by-step explanation:
have a good day :)
Answer:
I think it is A. an angle bisector
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The recommended sample size n for point estimates is:
n = NX / (N + X - 1)
where N is the population size, and X is defined as:
X = Z² p (1 - p) / E²
where Z is the critical value, p is the sample proportion, and E is the margin of error.
Assume a confidence level of level of 95% and a margin of error of 5%.
α = 0.05, Z(α/2) = 1.96
E = 0.05
Of the 40 units tested, 2 had lifespans less than 26 days. So the proportion is:
p = 2/40 = 0.05
Therefore:
X = (1.96)² (0.05) (1 - 0.05) / (0.05)²
X = 73
Given N = 2000:
n = (2000) (73) / (2000 + 73 - 1)
n = 70.45
Rounding, the recommended sample size is 70.
Answer:
Hence the probability that a randomly selected wire from company A's production will meet the specifications is 0.95455.
Step-by-step explanation:
a)![P(0.14 < x < 0.16 ) = P[(0.14 - 0.15)/ 0.005) < (x - \mu) /\sigma < (0.16 - 0.15) / 0.005) ]](https://tex.z-dn.net/?f=P%280.14%20%3C%20x%20%3C%200.16%20%29%20%3D%20P%5B%280.14%20-%200.15%29%2F%200.005%29%20%3C%20%28x%20-%20%5Cmu%29%20%2F%5Csigma%20%20%3C%20%280.16%20-%200.15%29%20%2F%200.005%29%20%5D)
![=P(0.14 < x < 0.16 ) = P[(0.14 - 0.15)/ 0.005)< ((x - 0.15) /0.005) < (0.16 - 0.15) / 0.005) ]](https://tex.z-dn.net/?f=%3DP%280.14%20%3C%20x%20%3C%200.16%20%29%20%3D%20P%5B%280.14%20-%200.15%29%2F%200.005%29%3C%20%28%28x%20-%200.15%29%20%2F0.005%29%20%3C%20%280.16%20-%200.15%29%20%2F%200.005%29%20%5D)
Using z table,
= 0.9773 - 0.02275
= 0.95455.
