9514 1404 393
Answer:
1 m³
Step-by-step explanation:
The ratio of volumes is the cube of the ratio of corresponding linear dimensions.
Va/Vb = ((2 m)/(8 m))³ = (1/4)³ = 1/64
Va = Vb(1/64) = (64 cu. m)/(64) = 1 cu. m
The volume of figure A is 1 m³.
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.
Combine like terms:
subtract x from both sides to get
2x+5=14
subtract 5
2x=9
isolate x:
divide 2 from both sides to isolate x
x=9/2
that's your final answer. unless your teacher wants you to put it in decimal form in which all you do is divide 9÷2.
Answer:
x = 3/4 n
Step-by-step explanation:
-3(x+n)=x
Distribute
-3x-3n = x
Add 3x to each side
-3x-3n+3x= x+3x
3n = 4x
Divide by 4
3/4n = 3x/3
3/4 n = x