Answer:
The minimum sample size required to construct a 95% confidence interval for the population mean is 65.
Step-by-step explanation:
We are given the following in the question:
Population standard deviation,
We need to construct a 95% confidence interval such that the estimate is within 0.75 milligrams of the population mean.
Thus, the margin of error must me 0.75
Formula for margin of error:
Putting values, we get,
Thus, the minimum sample size required to construct a 95% confidence interval for the population mean is 65.
Answer:
8.86
Step-by-step explanation:
Im guessing you want the rectangles area
Finding circle area do radius times radius times 3.14 so 1 x 1 = 1 x 3.14 = 3.14
Rectangle area is length times width so 3 x 4 = 12 - 3.14 = 8.86
Use cosine rule,
cos(A)=(b^2+c^2-a^2)/(2bc)
=(10^2+12^2-6^2)/(2*10*12)
=13/15
A=29.926 degrees.................................(A)
cos(B)=(c^2+a^2-b^2)/(2ca)
=(12^2+6^2-10^2)/(2*12*6)
=5/9
B=56.251 degrees.................................(B)
cos(C)=(a^2+b^2-c^2)/(2ab)
=(6^2+10^2-12^2)/(2*6*10)
=-1/15
C=93.823 degrees.................................(C)
Check:29.926+56.251+93.823=180.0 degrees....ok
Round to the biggest place value, 2,356 in the thousands place so the thousandths place is the greatest value there so 2,356 rounded to the nearest thousandths is 2,000
Answer:
he will have to pay $650 in the month of june
