Answer:
Step-by-step explanation:
"Two times one number added to three times a second number is 21.
2x + 3y = 21
"The second number is ten less than five times the first number"
y = 5x-10
Substitution
2x+3(5x-10) = 21
2x + 15x - 30 = 21
17x = 51
x = 3
y = 5x-10 = 5
The expression is
See
Its distributive property which states that
Option A
Answer:
The z-score for this kernel is -2.3
Step-by-step explanation:
* Lets revise how to find the z-score
- The rule the z-score is z = (x - μ)/σ , where
# x is the score
# μ is the mean
# σ is the standard deviation
* Lets solve the problem
- The popping-times of the kernels in a certain brand of microwave
popcorn are normally distributed
- The mean is 150 seconds
- The standard deviation is 10 seconds
- The first kernel pops is 127 seconds
- We want to find the z-score for this kernel
∵ z-score = (x - μ)/σ
∵ x = 127
∵ μ = 150
∵ σ = 10
∴ z-score = (127 - 150)/10 = -23/10 = -2.3
* The z-score for this kernel is -2.3