Root of ( 20^2 - 16^2 ) = 12
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean (m) = 72
Standard deviation (sd) = 10
Grading cutoff policy:
bottom 5% receive F
next 15% receive D
next 35% receive C
next 30% receive B
A) Give the cutoffs for the grades in this course in terms of standardized scores.
Standardized score for grade cutoff:
Locating the Zscore for the proportions on the z table :
Bottom 5% = 0.05 ; corresponding Zscore = - 1.645
next 15% receive D = (5 +15)% 0.20 ; corresponding Zscore = - 0.84
next 35% receive C = (20+35)% = 0.55 ; corresponding Zscore = 0.13
next 30% receive B = (55 + 30)% = 0.85 ; Corresponding Zscore = 1.04
B) Give the cutoffs in terms of actual total scores.
Recall:
Zscore = (x - m) /sd ; where x = actual score
x = sd*z + m
For F:
10*(-1.645) + 72 = 55.55
For D:
10*(-0.84) + 72 = 63.6
For C:
10*(0.13) + 72 = 73.3
For B:
10*(1.04) + 72 = 82.4
C) Do you think that this method of assigning grades is a good one?
Yes, it is good in terms of expressing scores around the mean such that score below are negative and those above are positive. However, it is a little bit ambiguous.
Answer:
It is known that 1 pint equals 16 ounces
Step-by-step explanation:
It is known that 1 pint equals 16 ounces. Then we use this data to transform a number of ounces into pints.
Suppose we have x ounces. We want to know how many pints are these x ounces. Then we perform the following operation
Where z pints is the amount equivalent to x ounces
Answer: The measure of angle A is 60 degree.
Explanation:
It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.
According to angle sum property, the sum of angles of a triangle is always 180 degree.
In triangle CDE,
According to opposite vertical angle property.
Use angle sum property is triangle ABE.
Therefore, the measure of angle A is 60 degree.
Well since you already completed the table, a pattern would be that the left column is twice the amount of the right column ( 30x2=60, 35x2=75,etc.)
