<em><u>The GCF ( Greatest Common Factor ) of 12, 28, and 4 is 4</u></em>
Answer: 
Step-by-step explanation:
We know that the confidence interval for population standard deviation is given by :-
, where n= sample size
s = sample standard deviation.
and 
= Chi-square critical value for degree of freedom (n-1) and significance level (
).
Given : 
n= 16
Critical ch-square values for degree of freedom 15 and 
will be :
Then , the required 99% confidence interval for the population standard deviation will be :
Hence, the a 99% confidence interval for the population standard deviation :
Answer:
The equation is:
f(x) = Ix + 3I - 2
Step-by-step explanation:
For a function like:
f(x) = Ix - kI + c
k is the x-value where the vertex is, and c is the y-value where the vertex is.
In the graph we can see that the vertex is in the point (-3, -2)
then:
x-value = -3 = k
y-value = -2 = c
Replacing those in the equation for the function:
f(x) = Ix - (-3)I - 2
f(x) = Ix + 3I - 2
Answer:
F=25
Step-by-step explanation:
10x+15=30x-5
15=20x-5
20=20x
1=x
30(1)-5
30-5
25
Answer:
S = 2π(36) + 2π(6)(8)
S = 2(3.14)(36) + 2(3.14)(6)(8)
Step-by-step explanation:
The surface area of a cylinder is the sum of the area of the base and the lateral area. A cylinder has 2 circular base .
Surface area = 2πr² + 2πrh
surface area = 2πr(r + h)
where
r = radius
h = height
surface area = 2πr(r + h)
r = 6 cm
h = 8 cm
The equation to find the surface area is represented below.
Surface area = 2πr² + 2πrh
S = 2π (6²) + 2π (6)(8)
S = 2π(36) + 2π (6)(8)
Assuming π is given as 3.14 the equation will be as follows
S = 2(3.14)(36) + 2(3.14)(6)(8)
