Answer:
Step-by-step explanation:
sin theta = opposite/hypotenuse
sin theta = 1/sqrt17
sin theta = sqrt17/17 (simplified form)
Answer:
b = 3Vh
Step-by-step explanation:
When they ask to solve for b, you are essentially rearranging the equation so that b is alone on one side.
V = 1/3bh
(V)(3) = (1/3bh)(3)
3V = bh
(3V)/h = (bh)/h
3Vh = b
b = 3Vh
2.4x10 to the power of -10
Answer:
3.113, 4.507
Step-by-step explanation:
From the given values:
Mean = 3.81
Standard deviation = 1.74
Therefore
M = √(1.72/18) = 0.4
μ = M ± t(sM)
μ = 3.81 ± 1.74*0.4
μ = 3.81 ± 0.697
Recall that the mean is estimated at 90% confidence level,
Hence,
= 90% CI [3.113, 4.507]
Answer:
358 randomly selected air passengers must be surveyed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is given by:
98% confidence level
So , z is the value of Z that has a pvalue of , so .
Assume that a prior survey suggests that about 22% of air passengers prefer an aisle seat.
This means that
How many randomly selected air passengers must you survey?
We need a sample of n, and n is found for which . So
Rounding up
358 randomly selected air passengers must be surveyed.