Answer:
24000 pieces.
Step-by-step explanation:
Given:
Side lengths of cube = 
The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.
Question asked:
What is the greatest number of packages that can fit in the truck?
Solution:
First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.
Length = 8 foot, Breadth = 
, Height =
The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube
The greatest number of packages that can fit in the truck = 
Thus, the greatest number of packages that can fit in the truck is 24000 pieces.
Answer:
Statisticians use z-scores to divide the area under a curve the way people use a knife to cut pizza.
Step-by-step explanation:
Statisticians use z-scores to divide the area under a curve the way people use a knife to cut pizza.
z-score:
- A z-score is a numerical measurement which is measured in terms of standard deviations from the mean.
- Formula:
- If a z-score is 0, it tells that the data point is same as the mean.
- Area under the normal curve is 1.
Answer:
36π
Step-by-step explanation:
The area of a circle is given as:
where r = radius of the circle
The area of a sector of a circle is given as:
where α = central angle in radians
Since 
is the area of a circle, A, this implies that:
A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.
Therefore, the area of the circle, A, is:
The area of the circle is 36π.
Answer:
Step-by-step explanation:
![\sf h(x) = 5x+2\\\\Put \ h(x) = -8\\\\-8 = 5x+2\\\\Subtract \ 2 \ to \ both \ sides\\\\-8-2 = 5x\\\\-10 = 5x\\\\Divide\ both \ sides \ by \ 5\\\\-10 / 5 = x \\\\x = -2 \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20h%28x%29%20%3D%205x%2B2%5C%5C%5C%5CPut%20%5C%20h%28x%29%20%3D%20-8%5C%5C%5C%5C-8%20%3D%205x%2B2%5C%5C%5C%5CSubtract%20%5C%202%20%5C%20to%20%5C%20both%20%5C%20sides%5C%5C%5C%5C-8-2%20%3D%205x%5C%5C%5C%5C-10%20%3D%205x%5C%5C%5C%5CDivide%5C%20both%20%5C%20sides%20%5C%20by%20%5C%205%5C%5C%5C%5C-10%20%2F%205%20%3D%20x%20%5C%5C%5C%5Cx%20%3D%20-2%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
1. sqrt(98) = 7 sqrt(2)
2. sqrt(y^6) = y^3
3. sqrt(a^7) = a^7/2
4. sqrt(12x^3y^2) = 2xy sqrt(3x)
5. sqrt(36x^2y^4) = 6xy^2
6. sqrt(48ab^3) = 4b sqrt(3ab)
7. sqrt(10a^5b^2) = a^2b sqrt(10a)
8. sqrt(20x^3y^10 = 2xy^5 sqrt(5x)
