Answer:
a. 1/10 or 10%
b. 1/2 or 50%
Step-by-step explanation:
Since the combination of machines 1, 2 and 3 produce 100% of the total output when added together, then the probability of choosing a bolt at random that is defective is: 5 + 2 + 3 = 10% out of 100% or 10/100, which is 1/10 or 10%.
If the bolt that is choosen at random is defective, than the probability that it came from machine 1 is 5/10 or 1/2 which is also 50%.
Multiplying x^2 by 5 stretches the graph vertically by a factor of 5. Try graphing both x^2 and 5x^2 and see for yourself that this is correct.
Answer:
N= -7
Step-by-step explanation:
N+16=9
subtract 16 from both sides
N= -7
Question:
Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the relative change for each country? Answer to the nearest tenth of a percent (1 decimal place). Make sure that you fill in each answer area before checking "How Did I Do?".
If you assume that the U.S. population is about 300 million, an increase of 12 million would result in a relative change of Number %.
If you assume that China has about 1 billion people, an increase of 12 million would result in a relative change of Number %.
Answer:
The relative change of the United States and China is 4% and 1.2%, respectively.
Step-by-step explanation:
Given
Represent population with p. So, we have:
United States


China


Required
Determine the relative change for each country
Relative change, C is calculated as:

For United States





For China





The relative change of the United States and China is 4% and 1.2%, respectively.
Answer:

Step-by-step explanation:
we know that
The volume of a trough is equal to

where
B is the area of equilateral triangle
L is the length of a trough
step 1
Find the area of equilateral triangle B
The area of a equilateral triangle applying the law of sines is equal to

where


substitute


step 2
Find the volume of a trough

we have


substitute

