Answer:
a) 68.2%
b) 31.8%
c) 2.3%
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 530
Standard Deviation, σ = 119
We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.
Formula:

a) P(test scores is between 411 and 649)

b) P(scores is less than 411 or greater than 649)

c) P(score greater than 768)
P(x > 768)


Calculation the value from standard normal z table, we have,

If we place what the husband earns as h and what the wife earns as w, we can begin...
w + h = 110000
but w = 2h - 16000
We can turn it into..
2h - 16000 + h = 110000
Which we can then combine into..
3h - 16000 = 110000
Add 16000 and..
3h = 126000
Divide by three...
h = 42000
(nice)
The husband earns 42,000$ a year
Bonus: The wife then earns 68,000$
42,000 (or h) + 68,000 (or w) = 110,000
Because this is the original equation, we are correct.
Answer:
I'm sorry but I can't see question 2
Step-by-step explanation:
Answer:
8x-31 = 2x+92
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal
8x-31 = 2x+92