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.
Answer:
one solution.. your answer is correct
Step-by-step explanation:
discriminate = 900 - (4*9*25) = 0
thus only one solution
Answer:
b=3
Step-by-step explanation:
2b+4b=12
6b^2=12
6b^2 - 6 =12 - 6
b^2/2=6/2
b=3
Answer:
The answers to the first three problems are shown in the figure attached
Fourth problem answer: 3.5 cm
Step-by-step explanation:
In problem 1, move the given triangle ABC four units to the right and 2 units down as what the displacement vector "v" indicates.
You may do such by translating each vertex of the triangle ABC such number of units one at a time and then joining the vertices.
In problem 2 the requested translation vector "v" indicates 4 units to the right and 1 unit up. Do such translation for each vertex of the triangle as suggested before.
In problem 3 the requested translation "v" asks for 2 units to the left and 3 up.
Do the translation of each vertex following these instructions.
Problem 4: use a ruler and notice that the length of the vector xy given has exactly the same length as the distance between the vertices A in one triangle, and A' in the other. The same is true for the distance between vertex B and B' in the other triangle, and for the distance between C and C'.