Answer: The 95% confidence interval is approximately (55.57, 58.43)
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Explanation:
At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.
The sample size is n = 17
The sample mean is xbar = 57
The population standard deviation is sigma = 3
The lower bound of the confidence interval is
L = xbar - z*sigma/sqrt(n)
L = 57 - 1.960*3/sqrt(17)
L = 55.5738905247863
L = 55.57
The upper bound is
U = xbar + z*sigma/sqrt(n)
U = 57 + 1.960*3/sqrt(17)
U = 58.4261094752137
U = 58.43
Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.
Answer:
The answer to your question is Volume = 3.30 cm³
Step-by-step explanation:
Data
Volume = ?
height = 14.9 cm
circumference = 2.9 cm
Process
1.- Calculate the radius
circumference = 2πr
-Substitution
2.9 = 2πr
-Solve for r
r = 2.9/2π
r = 1.45/π cm
2) Calculate the volume of the cone
Volume = 1/3πr²h
-Substitution
Volume = 1/3π(1.45/π)²(14.9)
-Simplify
Volume = (1.04)(0.213)(14.9)
Volume = 3.30 cm³
You didn’t even post a diagram
which of the following diagram represent a relation that is not a function
Answer:
the first time I get to the house w the flow I can go all night w and get a
Since <span> sin(α) > 0 and cos(α) > 0
so </span><span>α is IN THE FIRST QUADRANT (I)</span>
