Answer:
Step-by-step explanation:
Let X be the solvent present
Then given that the manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent.
X is N(101.3, 3.68)
a) ![P(X>100) = P(Z>\frac{100-101.3}{3.68} =P(Z>-0.35)\\=0.6368](https://tex.z-dn.net/?f=P%28X%3E100%29%20%3D%20P%28Z%3E%5Cfrac%7B100-101.3%7D%7B3.68%7D%20%3DP%28Z%3E-0.35%29%5C%5C%3D0.6368)
Probability = 0.6368
b)
means Z score = 1.88
X=100+1.88(s) =101.3
s=1.3/1.88=0.6914
Since the carton can hold 1000 units of the cubes.
Each unit of cube = 1inch * 1inch *1inch = 1inch³
Total volume = 1000 * 1inch³ = 1000 inch³
To get the dimension: The carton would take the shape of a cube.
Let each side be x.
x*x*x = 1000
x³ = 1000 Take the cube root of both sides.
∛x³ = ∛1000
x = 10
The dimension of the carton is 10 inches by 10 inches by 10 inches
= 4.95 X .65 = 3.2175 ( 3.22).
4.95 = 100% of the price
100 less 35 = 65
4.95 X .65% = 3.2175 or 3.22
Answer:
D
Step-by-step explanation:
Converting percent to decimal : 2.2/100 = 0.022
Finding 2.2$ of $75k : 75,000 x 0.022 = $1,650 (also the increase in one year)
Finding how much it was worth after 11 years :
(75,000 x 0.022) x 11 = $18,150 or 1,650 x 11 = $18,150
Now add the product to the regular amount to find out the answer:
75,000 + 18,150 = $93,150 (which is how much it increased after 11 years)
Answer:
64
Step-by-step explanation:
A square has equal side measurements meaning that each side is 8. To find the area, multiply the length by the width which would be 8 * 8 = 64.