Answer: the sample size should be 39
Step-by-step explanation:
The sample mean is the point estimate for the population mean. Confidence interval is written as
Sample mean ± margin of error
Margin of error = z × σ/√n
Where
σ = population standard Deviation
n = number of samples
z represents the z score corresponding to the confidence level
From the information given,
σ = 4 minutes
Margin of error = 75 seconds. Converting to minutes, it becomes 75/60 = 1.25 minutes
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96
Therefore,
1.25 = 1.96 × 4/√n
1.25/1.96 = 4/√n
0.6378 = 4/√n
√n = 4/0.6378 = 6.27
n = 6.27² = 39
There are 6 faces to the prism:
2 each of (Length x Width): 2(4 x 4) = 2(16) = 32 m²
2 each of (Length x Heighth): 2(4 x 8) = 2(32) = 64 m²
2 each of (Width x Heighth): 2(4 x 8) = 2(32) = 64 m²
The sum of the faces is the Surface Area (S.A.)
32 m² + 64 m² + 64 m² = S.A.
160 m² = S.A.
Answer:
m=-1/2
Step-by-step explanation:
m=y2-y1/x2-x1
m=8-5/-2-4
m=3/-6
m=-1/2
If you divide 32 by 4 you get 8
so, one way he can display them is 4 by 8
Like this,
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Answer:
Irrational.
Step-by-step explanation:
π, or pi, is an irrational number. 3 times π would still be irrational, as its decimal never ends.
