Check the picture below.
bear in mind that since we have a radical in the denominator, we'd
rationalize the denominator to take it off the denominator.
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:
x=7
Step-by-step explanation:
write -2+16x+9x+7=180
then add all like terms (-2+7=5) and (16x+9x=25x)
5+25x=180
-5. -5
25x=175
/25. /25
x=7
Answer:
The bookshelf will fit between the windows with 1 inch remaining.
Step-by-step explanation:
First, I will convert 6.5 feet to inches.
6.5 × 12 = 78 inches
So, there is 78 inches between the windows.
78 - 77 = 1 inch remaining
The bookshelf will fit between the windows with 1 inch remaining.
