Answer:
The answer to your question is: x = 15 and y = 17
Step-by-step explanation:
∠A = 6x
∠B = 9y - 63
they are linear pair, their addition gives 180°
but it also mention that linear pair with equal measure, so each angle measures 90°
6x = 90
x = 90/6
x = 15
9y - 63 = 90
9y = 90 + 63
9y = 153
y = 153/9
y = 17
Answer:
The student who did the German test scored 2 standard deviations above the mean and the student who did the French test scored 1.6 standard deviations above the mean. Relative to their classmates, the student who did the German test scored better due to the higher z-score.
Step-by-step explanation:
Z-score
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.
German test
Mean was 66 and the standard deviation was 8, scored an 82.
So



French test:
Mean was 27 and the standard deviation was 5, scored a 35.
So



The student who did the German test scored 2 standard deviations above the mean and the student who did the French test scored 1.6 standard deviations above the mean. Relative to their classmates, the student who did the German test scored better due to the higher z-score.
T = 2n, n = 3.14
t = 2(3.14)
t = 6.28
Answer:
270 m^2
Step-by-step explanation:
1. Write down your formula. It is V= 1/3 Bh
2. Plug in your numbers. Your new formula is V= 1/3 (81)(10)
3. Simplify the expression to get 270.
Answer:
The answer is 40 sq. units
That is: 1/2×b×h (formula for area of triangle)
1/2×10×8
= 40