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.
Answer:
936
Step-by-step explanation:
Therefore you multiply 6 by 18 = 6×18= 108
1,044 - 108 = 936
So therefore the total is 936
Answer:
arc tan (angle) = 1,119 / 173
arc tan (angle) = 6.4682080925
angle = 81.212 Degrees
Step-by-step explanation:
Answer:
x would equal -11 or 13
Step-by-step Explanation:
x(x - 2) - 143 = 0
x^2 - 2x - 143 = 0
-2x + x^2 = 143
-143 + (-2x) + x^2 = 0
(x - 13)(x + 11)
x - 13 = 0
Add 13 to both sides
x = 13
x + 11 = 0
Subtract 11 from both sides
x = -11
Alternate interior angles are congruent. So, angle 3 = angle 7.
We see that vertical angles are congruent. So, angle 3 also = angle 5.
Alternate exterior angles are congruent.
So, angle 3 also = angle 1.