If you would like to solve for x: 3x - 24 = 81, you can do this using the following steps:
<span>3x - 24 = 81
</span>3x = 81 + 24
3x = 105
x = 105 / 3
x = 35
The correct result would be 35.
Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
Step-by-step explanation:
Let x and y area the random variable that represents the heights of women and men.
Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.
i.e.

Since , 
Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).
[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.
i.e.

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).
[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
The unit rate is 0.25 kilograms per year.
Step-by-step explanation:
Lets define unit rate first
Unit rate is the change in quantity per unit time.
Given
Weight = w = 5 kg
Time = t = 20 years
So,

Hence,
The unit rate is 0.25 kilograms per year.
Keywords: Unit rate, rate of change
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The answer is D. Since the x line is seconds and y is feet traveled it would mean that the train travels 180 feet in 3 seconds
ANSWER
a.)17
EXPLANATION
The given function is

We want to find the remainnder when this function is divided by x-3 using synthetic division.
We write the coefficients of the given function and carry out the synthetic division as shown in the attachment.
The remainnder is 17.
The correct answer is A.