The figure shows a parallelogram inside a rectangle outline: A parallelogram is shown within a rectangle. The length of the rect
angle is 1 over 2 foot and the width of the rectangle is 1 over 3 foot. The two equal bases of the triangles outside the parallelogram are labeled 1 over 6 foot. What is the area of the parallelogram? 1 over 9 square foot 1 over 6 square foot 1 over 5 square foot 1 over 3 square foot
1 answer:
To find the area of the parallelogram you will need to find the distance of the base which is part of the length of the rectangle. To find this distance you will subtract 1/2 and 1/6. The height of the parallelogram is the same as the width of the rectangle.
Please see the attached picture for the work and a visual representation.
The answer is 1/9 ft.² .
Please see the attached picture for the work and a visual representation.
The answer is 1/9 ft.² .
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Using the normal distribution, it is found that 0.0329 = 3.29% of the population are considered to be potential leaders.
In a <em>normal distribution</em> with mean and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of 550, hence
.
- The standard deviation is of 125, hence
.
The proportion of the population considered to be potential leaders is <u>1 subtracted by the p-value of Z when X = 780</u>, hence:
has a p-value of 0.9671.
1 - 0.9671 = 0.0329
0.0329 = 3.29% of the population are considered to be potential leaders.
To learn more about the normal distribution, you can take a look at brainly.com/question/24663213