When solving this equation, you get the answer as -43.5.
To solve, we simply need to collect like-terms and then rearrange to get x on one side and numbers on the other:
(8x - 20) - 16 = 10x + 51
8x - 36 = 10x + 51
- 8x
-36 = 2x + 51
- 51
-87 = 2x
÷ 2
-43.5 = x
I hope this helps!
Question in order:
The exact numbers of each color of Umbrella Corporation's most popular candy, W&Ws, naturally vary from bag to bag, but the company wants to make sure that the process as a whole is producing the five colors in equal proportions. Which of the following would represent the alternative hypothesis in a chi-squared goodness-of-fit test conducted to determine if the five colors of W&Ws occur in equal proportions?
a. H1: All of the proportions are different from 0.20
b. HI: p1 = P2 = p3 =P4=p5 = 0.20
c. H1: At least one proportion is not equal to 0.20
d. H1: At least two of the mean number of colors differ from one another.
e. HI: the number of candies per bag and candy color are dependent
Answer:
option C
Step-by-step explanation:
H1: At least one proportion is not equal to 0.20
Answer:
0% probability that a customer will be exactly 7.50 minutes in the record store.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
The probability of finding a value between c and d is:
The probability of finding a value above x is:
The uniform distribution is a continuous distribution, which means that the probability of an exact outcome is zero.
Uniformly distributed between 3 and 12 minutes.
This means that 
What is the probability that a customer will be exactly 7.50 minutes in the record store?
Continuous distribution, so:
0% probability that a customer will be exactly 7.50 minutes in the record store.
(-5, 0) and (-1, 0) are the solutions of -2(-x - 3)² + 8 = 0
Step-by-step explanation:
- Step 1: Find the solutions of -2(-x - 3)² + 8 = 0.
Solutions are the intersecting points of y = -2(-x - 3)² + 8 and y = 0.
⇒ Solutions are (-5, 0) and (-1, 0)
- Step 2: (-5, 0) and (-1, 0) are solutions of -2(-x - 3)² + 8 = 0
Answer:
For two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the two longer sides should equal the ratio of the two shorter sides.
Step-by-step explanation:
