Answer:
In Math, she scored in the 93rd percentile, which is higher than the French percentile. So she did better on the Math exam as compared with the other incoming college students
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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.
On which exam did she do better as compared with the other incoming college students?
On the exam for which she had the higher z-score.
Franch:
Scored 85.
Mean 72, SD = 12. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{85 - 72}{12}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B85%20-%2072%7D%7B12%7D)
![Z = 1.08](https://tex.z-dn.net/?f=Z%20%3D%201.08)
has a pvalue of 0.8810, so her French score is in the 88th percentile.
Math:
Scored 80
Mean 68, SD = 8. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{80 - 68}{8}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B80%20-%2068%7D%7B8%7D)
![Z = 1.5](https://tex.z-dn.net/?f=Z%20%3D%201.5)
has a pvalue of 0.9332.
In Math, she scored in the 93rd percentile, which is higher than the French percentile. So she did better on the Math exam as compared with the other incoming college students
Answer:
The answer to the question is
She invested
Php2700.00 at 8 % and
Php 20,400.00 at 11 %
Step-by-step explanation:
To solve the question we note that
Simple interest is given by
where
P= Principal, R = Rate and T = Time
If we call the first part P₁, T₁, and R₁ and the second part
P₂, T₂, and R₂
Then ![{P_1*(1+R_1*T_1}) +{P_*(1+R_2*T_2}) = 2460.00](https://tex.z-dn.net/?f=%7BP_1%2A%281%2BR_1%2AT_1%7D%29%20%2B%7BP_%2A%281%2BR_2%2AT_2%7D%29%20%20%3D%202460.00)
= 2700×0.08×1 + P₂×0.11×1 = 2460 which gives
2244÷0.11 = P₂ or P₂ = Php 20,400.00
That is she invested
Php2700.00 at 8 % and
Php 20,400.00 at 11 %
Answer:
multiply the length by the height and the height times 4
Answer:
your answer will be B. ![6^{36}.8^{63}](https://tex.z-dn.net/?f=6%5E%7B36%7D.8%5E%7B63%7D)
Step-by-step explanation:
have a nice day
Answer:
11 years old
Step-by-step explanation:
Maggie's age is x
Maggie's brother = 4x - 7
The sum is 48
x + 4x - 7 = 48
5x - 7 = 48
5x = 55
x = 11