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Natalka [10]
4 years ago
15

Pick all that’s right

Mathematics
1 answer:
PilotLPTM [1.2K]4 years ago
5 0

Answer:

A.

Step-by-step explanation:

From the question, the amount of fabric needed is 2 1/2 yards.

Add the remnants given to see if they produce 2 1/2 yards in total

Bag A

2/3 + 1 5/6 = 2/3 + 11/6 = (4+11)/6 = 15/6 = 5/2 = 2 1/2

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A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40
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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.

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