Answer:
a. 99.30% of the woman meet the height requirement
b. If all women are eligible except the shortest 1% and the tallest 2%, then height should be between 58.32 and 68.83
Explanation:
<em>According to the survey</em>, women's heights are normally distributed with mean 63.9 and standard deviation 2.4
a)
A branch of the military requires women's heights to be between 58 in and 80 in. We need to find the probabilities that heights fall between 58 in and 80 in in this distribution. We need to find z-scores of the values 58 in and 80 in. Z-score shows how many standard deviations far are the values from the mean. Therefore they subtracted from the mean and divided by the standard deviation:
z-score of 58 in=
= -2.458
z-score of 80 in=
= 6.708
In normal distribution 99.3% of the values have higher z-score than -2.458
0% of the values have higher z-score than 6.708. Therefore 99.3% of the woman meet the height requirement.
b)
To find the height requirement so that all women are eligible except the shortest 1% and the tallest 2%, we need to find the boundary z-score of the
shortest 1% and the tallest 2%. Thus, upper bound for z-score has to be 2.054 and lower bound is -2.326
Corresponding heights (H) can be found using the formula
and
Thus lower bound for height is 58.32 and
Upper bound for height is 68.83
The area of the given parallelogram is approximately

Data given;
- a = 13cm
- b = 21cm
- angle = 79 degrees
<h3>Area of a Parallelogram</h3>
The area of a parallelogram is the product of its two sides and the sine of the angle (if given).
So the formula of our parallelogram is

x = angle
Substitute the values and solve.

From the calculation above, the area of the parallelogram is approximately 
Learn more on area of a parallelogram here;
brainly.com/question/17540452
Answer:
Hope it helps. Braonliest?
They will weaken because they wont be used
Histograms are used to represent data using bars.
The probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed is 0.28
The probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed is calculated using the following complement rule:

Using the values on the histogram (see attachment), we have:


Hence, the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed is 0.28
Read more about probabilities at:
brainly.com/question/10707698