Answer:
6.18% of the class has an exam score of A- or higher.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What percentage of the class has an exam score of A- or higher (defined as at least 90)?
This is 1 subtracted by the pvalue of Z when X = 90. So



has a pvalue of 0.9382
1 - 0.9382 = 0.0618
6.18% of the class has an exam score of A- or higher.
You need to use the angle sum of a triangle in triangle CAD to express y in term of x
for triangla CAD , y = (180 -x) /2
180 = 3x + [ (180-x)/2]
x = 36
hope this helps
Answer: $ 47,478.75
Step-by-step explanation:
Formula: Interest = Principal x rate x time.
As per given: Principal amount = $33,000
Rate of interest = 6.75 percent = 0.0675 [To convert in decimal divide it by 100]
Time = 6.5 years
∴ Interest = (33000)× (0.0675)×(6.5)
=$ 14,478.75
Total amount need to pay = Principal+ Interest
= $ ( 33,000 +14,478.75)
= $ 47,478.75
∴ She will pay all together = $ 47,478.75