Answer:
it is a novel, thriller and psychological fiction book
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
How large of a sample of state employees should be taken if we want to estimate with 98% confidence the mean salary to be within $2,000? The population standard deviation is assumed to be $10,500. z-value for 98% confidence level is 2.326.
Answer:
Sample size = n = 150
Step-by-step explanation:
Recall that the margin of error is given by
Re-arranging for the sample size (n)
Where z is the value of z-score corresponding to the 98% confidence level.
Since we want mean salary to be within $2,000, therefore, the margin of error is 2,000.
The z-score for a 98% confidence level is 2.326
So the required sample size is
Therefore, we need to take a sample size of at least 150 state employees to estimate with 98% confidence the mean salary to be within $2,000.
The value of the length of BC is 45 units
<h3>How to determine the length BC?</h3>
The given parameters are:
BC = 15x
AD = 32x - 2
EF = 20.5x + 8
Where the parallel bases are AD and BC and the midsegment is EF
By the midsegment theorem, we have
2 * EF = AD + BC
Substitute the known values in the above equation
2 * (20.5x + 8) = 15x + 32x -2
Open the bracket
41x + 16 = 15x + 32x - 2
Evaluate the like terms
6x = 18
Divide both sides by 6
x = 3
Substitute x = 3 in BC = 15x
BC = 15 * 3
Evaluate
BC = 45
Hence, the value of the length of BC is 45 units
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Answer:
both answer is 31°
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