Given:
- Surface area of cube = 150 ft²
To Find:
Solution:
As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube
We know that,
Substituting the required values,
- Edge of the cube is 5 feet
Now,
Hence,
- Volume of the cube is 125 cu. feet
Answer:
B. z Subscript alpha divided by 2 zα/2 = 1.96.
Step-by-step explanation:
We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn girls:
n = 236, 
= 30.3 hg, s = 7.2 hg. The confidence level is 95%.
As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.
It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.
Here, 
= level of significance = 1 - 0.95 = 0.05 or 5%
= 0.025 or 2.5%
So, the value of 
in the z table is given as 1.96 with a 2.5% level of significance.
Answer:
Yes.
The relation is a function because every element in the domain (the x's) is mapped to one element in the range (the y's).
Step-by-step explanation:
For a relation that is a set of points all you have to look for while igorning any duplicate points is that all of the x's are different. If there are any 2 (or more) x's that are the same, then it is not a function.
So there are no duplicate points.
For example the set {(1,5),(2,5)(1,5)} is really just {(1,5),(2,5)}.
Anyways the x's in the points are (in order from left to right):
1
-4
3
0
2
All of these are different, I did not list a value for x that was same anywhere in that list. So it is a function.
The relation is a function because there is no x that gets mapped to more than one y.
Pi is 3.141592653 it is used to help solve equations
4xy-3y=12
y(4x-3)=12
y=12/(4x-3)
