Answer:
Blobfish
Step-by-step explanation:
Never
Answer:
B. 94
Step-by-step explanation:
Angle B = 180 - 143 = 37°.
Angle B + Angle C + Angle D = 180°
37° + 49° + Angle D = 180°
Angle D = 180° - 86° = 94°
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:
c=8
Step-by-step explanation:
Simplifying
3c + -15 = 17 + -1c
Reorder the terms:
-15 + 3c = 17 + -1c
Solving
-15 + 3c = 17 + -1c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add 'c' to each side of the equation.
-15 + 3c + c = 17 + -1c + c
Combine like terms: 3c + c = 4c
-15 + 4c = 17 + -1c + c
Combine like terms: -1c + c = 0
-15 + 4c = 17 + 0
-15 + 4c = 17
Add '15' to each side of the equation.
-15 + 15 + 4c = 17 + 15
Combine like terms: -15 + 15 = 0
0 + 4c = 17 + 15
4c = 17 + 15
Combine like terms: 17 + 15 = 32
4c = 32
Divide each side by '4'.
c = 8
Simplifying
c = 8
The constant proportionality is the proportionality of 59. Because it is the price, you just move the decimal point two places over to the left.
If you do this correctly you will get .59
