Answer:
the answer to the inequality is x>-6
Step-by-step explanation:
x+8>2
x>2-8
x>-6
Answer:
0.1507 or 15.07%.
Step-by-step explanation:
We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.
First of all, we will find z-scores for data points using z-score formula.
, where,
z = z-score,
x = Sample score,
= Mean,
= Standard deviation.



Let us find z-score of data point 22.03.



Using probability formula
, we will get:

Therefore, the probability that a randomly selected ball bearing will be acceptable is 0.1507 or 15.07%.
Answer:
25x - 45 = 5(5x - 9)
Step-by-step explanation:
Find the greatest common factor (GCF) of 25 and 45.
You can do this several ways, but one way is to list all the factors of both numbers and find the greatest common one:
Factors of 25: 1, 5, 25
Factors of 45: 1, 3, 5, 9, 15, 45
Therefore, 25 and 45 have 2 common factors: 1 and 5
So the greatest common factors is 5
25x - 45 = 5(ax - b)
To find the value of a, simply divide 25 by 5: 25 ÷ 5 = 5
To find the value of b, divide 45 by 5: 45 ÷ 5 = 9
25x - 45 = 5(5x - 9)
Answer:
- This is a biased sampling method for obtaining customer opinions because those who take the time to write an online review are likely to do so because they are upset with the service they received.
- The direction of the bias is likely to overestimate the proportion of customers who have a negative opinion on the service.
Step-by-step explanation:
1) There are groups which are not represented in the survey like those who don't use web. And also those who take the time to write an online review are likely to do so because they are upset with the service they received.
2) Those who had negative experience are more likely to write a review than those who had not.
Answer:
Part a) The exact area of the sidewalk is 
Part b) The approximate area of the sidewalk is 
Step-by-step explanation:
we know that
The area of the sidewalk is equal to the area of the outer circle minus the area of the inner circle
Part a) Find the exact area of the sidewalk

![A=\pi [144-64]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5B144-64%5D)

Part b) Find the approximate area of the sidewalk
assume 
substitute
