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.
In order for us to find the answer, let us analyze the given problem first.
It states that there are two polygons which are congruent. So if the polygons are congruent, therefore, both their sides, areas and perimeters are also congruent. Given the the first polygon has a perimeter of 38cm, then the second polygon has the same measurement too.
So here is how we are going to answer this:
38 = x + x +1 + x +2 + x + 3
Given that x is the smallest side.
So, 38 = 4x +6
38-6 = 4x
32 = 4x <<divide both sides by 4 and we get
x = 8
Therefore, the smallest side measures 8cm.
So the other sides measurements are: 9, 10 and 11. Add them all and you get 38cm. Hope this answer helps.
Answer:
No, he needs 16 inches^2 more cardboard.
Step-by-step explanation:
Take the formula and substitute values into it. 6 * 6^2
Do the exponent first to get 6 * 36, and then complete that to get 216. Since he has 200 inches of cardboard and he would need 216, that means he would need 16 more square inches to make his cube.
Given formula is
which gives approximate distance a light beam from a light house where "a" represents the area (in sqaure miles) that the light beam covers
Using this formula we have to estimate the distance the light beam covers the area 1000 square miles.
so that means a=1000
Now plug this value into above formula
r = 17.86686878
Hence final answer is approx 17.87 miles
Answer:
6:00 or 6 o'clock
Step-by-step explanation:
1) Add 2 to the hours. So, 3+2=5
2) Add 15 minutes to 45 minutes. So, 15+45=60
3) 60 minutes is an hour, so therefore add one more hour. 5+1=6
4) There are 6 hours and 0 minutes.
So, the time that Renita finished her homework was 6:00.
Hope this helps!! ~Carley R.