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ghari112345
21.07.2019 •
Mathematics
The distribution of grades in an introductory finance class is normally distributed, with an expected grade of 65. if the standard deviation of grades is 15, in what range would you expect 90.00 percent of the grades to fall
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Ответ:
I have it easy because my TI-83 Plus calculator will give me the z-score for the lowest 5% of the spread of grades. That z-score is -1.645. z = +1.645 corresponds to the upper limit we were taking about.
Our job now is to take these z-scores, as well as the mean and std. dev., and determine the actual grades that limit the middle 90% of the grades.
x - 65
First, if z = -1.645 (leftmost 5% of grades), then -1.645 =
15
Here, x is the lower end point of the middle 90% of grades.
Solving this equation for x, (15)(-1.645) = x - 65. Solving this for x,
x = 40. The lower end point of the middle 90% of grades is 40. That is 25 less than the mean (65). The upper end point would be 65+25 = 90.
We would expect 90% of the grades to fall between 40 and 90.
Ответ:
A. Angle Y is a right angle.
B. The measure of angle Z is 45°.
E. The perpendicular bisector of Line segment X Z creates two smaller isosceles triangles.
Step-by-step explanation:
I hope these are correct and help you guys.