Answer:
increase - $2256
price - $50256
Step-by-step explanation:
multiply the percent (in decimal form) by the original cost
48000(0.47)=2256
the increase is $2256
to find the price of it, add the two prices together.
48000+2256=50256
Based on the subtraction property of equality: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.
<h3>What is the Subtraction Property of Equality?</h3>
In order to balance both sides of an equation, we can subtract same value from both sides by subtracting a value from both sides based on the subtraction property of equality. Same applies to other operations.
To balance both sides of the equation, 100 needs to be subtracted from the equation given. This means Jen was correct.
If she also divide both sides by -1/2, she would get same result as when she multiplies both sides by -2.
The correct description of the accuracy of her work is: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.
Learn more about subtraction property of equality on:
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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.
It would be still be X. Any number times 1 is that number. For example 3x1=3 and 325x1=325 :)
Answer:
f(g(2)) = 44
Step-by-step explanation:
g(2) = 3(2) + 1 = 7
Plug 7 into f(x) since g(2) = 7
f(7) = 7² - 5 = 44
f(g(2)) = 44
