72 ÷ 2= 36
36 × 4= 144
144 ÷ 3= 48
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.
Benefit she gets monthly is = 42.25-12.5= 29.75
annual value to Tamsen of this benefit= 12×29.75 = 357$
Answer:
Step-by-step explanation:
a₁ = 12,000
a₂ = 0.80a₁ = 9,600
a₃ = 0.80a₂ = 7,680
a₄ = 0.80a₃ = 6,144
a₅ = 0.80a₄ = 4,915.20
:::::
a₁ = 30
a₂ = 1.30a₁ = 52
a₃ = 1.30a₂ = 67.6 ≅ 68
a₄ = 1.30a₃ = 87.88 ≅ 88
a₅ = 1.30a₄ = 114.244 ≅ 114
Answer:
2 runners will be needed
Step-by-step explanation:
1/2 = 2/4
2/4 / 1/4 = 2
2 runners, for 1/2 mile