Answer:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.
Step-by-step explanation:
Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:
Where 
and 
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64
Using this value we can set up the following equation:
And we have:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.
The situation is represented by a drawing with a right triangle where an airplane is at the top corner, the elevation angle (opposite to the airplane) is 70°, the height (vertical leg) is x, and the adjacent leg (horizontal leg) to the 70° angle is 800.
Then, to find the height x, which is the opposite leg to the angle, you can use the tangent ratio, which is opposite leg divided by adjacent leg:
tan(x) = opposite leg / adjacent leg => tan(70°) = x / 800
Answer: tan(70°) = x / 800
Answer:
b, c, e
Step-by-step explanation:
First, just simplify the inequality.
-18 < 5x - 8 < 17
-10 < 5x < 25
-2 < x < 5
Answers that fit this inequality:
-1, 0, 3
Common ratio, r = (3/2)/(3/20) = 10.
3/20, 3/2, 15,
4th term = 15*10 = 150
5th term = 150*10 = 1500
5th term = 1500
Answer:
t=10
Step-by-step explanation:
3t + 15 = 45
3t = 30
t = 10
