Answer:
14
Step-by-step explanation:
B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14
Answer: 54 is 112.5% of 48.
Answer:
No
Step-by-step explanation:
jan-44
feb-84
mar-72
apr-96
may-52
jun-26
mean=(44+84+72+96+52+26)/6=62.3<65
The answer is no
Answer:
The volume of a box with sidelines that are 20 inches is 8000 cubic inches
Step-by-step explanation:
The volume of a box with sidelines that are 20 inches can be determined by using the formula
B = S³
Where S is the length of one side
and B is the Volume
From the question, the sidelines of the box are 20 inches. That is
S = 20 inches
From
B = S³
B = (20 inches)³
B = 20 inches × 20 inches × 20 inches
B = 8000 cubic inches
Hence, the volume of a box with sidelines that are 20 inches is 8000 cubic inches.
Answer:
a) 658008 samples
b) 274050 samples
c) 515502 samples
Step-by-step explanation:
a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.
So, the number of samples = ⁴⁰C₅ = 658008 samples
b) How many samples of 5 contain exactly one nonconforming chip?
There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways
¹⁰C₁ = 10 ways
then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways
³⁰C₄ = 27405 ways
So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples
c) How many samples of 5 contain at least one nonconforming chip?
The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)
Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples
Total number of samples = 658008
The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples
