Answer:
1
Step-by-step explanation:
We know that the mathematics test scores are normally distributed with mean μ=82 and standard deviation σ=8.
We know that the central limit theorem states that a selected sample from a normal distribution with mean μ and standard deviation σ is also normally distributed with mean μxbar and standard deviation σxbar.
Also , the sample mean of sampling distribution is μxbar=μ, where μ is population mean.
The standard deviation of sampling distribution is σxbar=σ/√n where n is the sample size and σ is population standard deviation.
The given sample size=n=64.
So, the required standard deviation of sampling distribution is
σxbar=σ/√n
σxbar=8/√64
σxbar=8/8
σxbar=1.
1/4 acre x 100 acres = 25 acres
208.71" = one side of 1 acre squared in feet
2 x 1/4 x 208.17" = 104.355" (2 x 1/4 acre long ends in feet)
200 x 208.71" = 41,742.000" (2 x 100 (acre long sides) x 208.71")
41,846.335" divided by 3 = 13,948.785 yards of fencing required
The three integers are: 12, 13, and 14
12+13=25
25+14=39
Answer: 42:21 and 14:7
Step-by-step explanation:
42:21, 6:3, and 14:7 all reduce to 2:1, but 9:1 does not.
