To solve this problem, we use the formula given, which states that SA=6s^2, where SA is the surface area and s is the edge length of the cube.
We were given that the edge length of the cube is 3 1/2 feet, and that we are trying to find the surface area of the cube, so let’s plug these values into our formula.
SA=6(3 1/2)^2
To make this easier to simplify, we are going to replace 3 1/2 with its equal improper fraction, 7/2.
SA=6(7/2)^2
Now, following the order of operations, we are going to simplify what is inside the parenthesis by squaring it.
SA=6(49/4)
Now, we are going to multiply our last two terms together, to get:
SA= 294/4
This number simplifies to 147/2 when we divide both the numerator and denominator by their greatest common factor of 2.
However, the problem asks for your answer as a mixed number in simplest form, which we get when we divide out this improper fraction.
Your final answer is 73 1/2 ft^2.
I hope this helps!
Answer:
None of the given system of linear inequalities
Step-by-step explanation:
Given
Required
The line inequalities with the above solution
The first set of linear inequalities, we have:
implies that the values of y is -4,-5.....
While implies that y = -2
Hence, the first set is wrong
The second set of linear inequalities, we have:
implies that the values of y is -1,0.....
While implies that y = -2
Hence, the second set is wrong
Where P = perimeter, L = length, W = width, and A = area:
A = LW
P = 2(LW)
Hope this helped! :)
Answer:
Variance =10900.00
Standard deviation=104.50
Step by step Explanation:
Admissions Probability for 1100= 0.2
Admissions Probability for 1400=0.3
Admissions Probability for 1300 =0.5
To find the expected value, we will multiply each possibility by its probability and then add.
mean = 1100*0.2 + 1400*0.3 + 1300*0.5 = 1290
To find the variance, we will start by squaring each possibility and then multiplying it by its probability. We will then add these and subtract the mean squared.
E(X^2)=( 1100²*0.2)+ (1400²*0.3 )+ (1300²*0.5) = 1675000
Variance(X)=E(X²)- [E(X)]²
= 1675000 - (1290)²
=10900
Hence, the Variance(X)=10900
Then to calculate the standard variation , we will use the formular below,
standard variation (X)=√ var(X)= √10900
=104.5
Hence the standard variation=104.5
