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:
The number of
Fiction books = x = 2400 fiction books
Non fiction books = y = non fiction books
Step-by-step explanation:
Let the number of
Fiction books = x
Non fiction books = y
The libary has 4,000 books in total.
Hence: x + y = 4000........ Equation 1
The number of fiction books in a libary is %150 of the number of non-fiction books.
x = 150% of y
x = 150/100 × y
x = 1.5y
We substitute 1.5y for x in Equation 1
x + y = 4000
1.5y + y = 4000
2.5y = 4000
y = 4000/2.5
y = 1600 non fiction books
Solving for x
x = 1.5y
x = 1.5 × 1600
x = 2400 fiction books.
Therefore,
The number of
Fiction books = x = 2400 fiction books
Non fiction books = y = non fiction books
Answer:

Step-by-step explanation:
In the Point-Slope Formula [<em>y</em> - <em>y</em>₁ = <em>m</em>(<em>x</em> - <em>x</em>₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
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Answer:
14 is the simplified answer, but the whole answer is 17 + -18/6
Step-by-step explanation:
Divide
−
18 by 6. h (−18) = 17 − 3 Subtract 3 from 17. h (−18)= 14
The final answer is 14.
Options were not present in the question we are Stating below;
Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid $34 for a bike rental. Which of the equations below could be used to find how many hours, x, the customer rented the bike?

Answer:

Step-by-step explanation:
Given:
Amount customer paid = $34
Initial fee = $10
Hourly rate = $4
We need to write the equation used to find how many hours, x, the customer rented the bike.
Solution:
Let the number of hours customer rented the bike be 'x'.
Now we can say that;
Amount customer paid is equal to sum of Initial fee plus Hourly rate multiplied by number of hours customer rented the bike.
framing in equation form we get;

Hence The equation used to find number of hours customer rented the bike is
.