The volume of a sphere is equal to (4/3)pi*r^3
The volume of your sphere is then (4/3)*pi*r^3 = (4/3)*3.14159265*18^3 = 24429.024 cubic units. That is not one of the answer choices. The closest choice appears to be D.
Answer:
First question: LCL = 522, UCL = 1000.5
Second question: A sample size no smaller than 418 is needed.
Step-by-step explanation:
First question:
Lower bound:
0.36 of 1450. So
0.36*1450 = 522
Upper bound:
0.69 of 1450. So
0.69*1450 = 1000.5
LCL = 522, UCL = 1000.5
Second question:
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:
The project manager believes that p will turn out to be approximately 0.11.
This means that 
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The project manager wants to estimate the proportion to within 0.03
This means that the sample size needed is given by n, and n is found when M = 0.03. So
Rounding up
A sample size no smaller than 418 is needed.
Answer:
(x/4)+6.5
Step-by-step explanation:
Answer:
The answer is 25
Step-by-step explanation:
(5x)^2=25^2
5x times 5x is 25x^2
25^2 divided by 5x is 5x
The two x's become x^2 and the two 5's just multiply to 25
Answer:
1 : 12 : 4
Step-by-step explanation:
Let A, G, C represent the ages of Alex, George, and Carl, respectively. We are told that ...
A = G +12
C = 3A . . . . . . . we read this as "3 times as old"; not "3 times older"
A + G + C = 68
Substituting for G and C, we have ...
A + (A -12) +(3A) = 68
5A = 80 . . . . . add 12
A = 16 . . . . . . . divide by 5
The other ages are then ...
G = A-12 = 16 -12 = 4
C = 3A = 3·16 = 48
The ratios are ...
G : C : A = 4 : 48 : 16
G : C : A = 1 : 12 : 4
