Answer:
a) G
b) C
Step-by-step explanation:
Answer:
134°
Step-by-step explanation:
∠BAC = ∠BCA because it is an isosceles triangle
∠XCA = ∠XAC . Congruent angles
∠XAC = 1/2(46) = 23° . because CE bisects ∠ C
∠XCA = 23°
180° - 23° - 23° = 134° . Sum of all angles in a triangle is 180°
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Answer:
1. 3
Step-by-step explanation:
Answer:
30
So the two sectors add to the full length:
JK + IJ = IK
x+6 + 9 = 2x
Rearrange:
x=15
So the numerical length:
2x
2*15
30
Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have
. So



Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have
.



Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have
.



Due to the higher Z-score, Demetria should be offered the job.