Answer:
A-
First we do 72/88 to get the percentage. When the math is done you get 81.81% so that means that Will got an 81.81% on the test.
B-
Now we will do 81/88 to get the percentage because Cheng got 81 points. When that math is done we see that Cheng got a 92.04% on the test.
C-
To get Rob's percentage we need to do 75/88 because Rob got 75 points. When we calculate that we recieve 85.23% meaning he got that on the test.
D-
Now to figure out who got the highest percentage and who got the lowest is simple. The max points doesn't change so it varies on who got the highest and lowest points. We can see that Cheng received the highest with 81/88 (92.04%) and Penny received the lowest with 68/88 (77.27%).
Answer: After trying to work out some of the solutions, I have determined that the correct answer is A.
Step-by-step explanation: 8 - 4:30 = 8.5 hrs.
Because the clock does not rotate 360 degrees, which would be at least 8 - 8, we know that it is less. The only solution that makes sense is the way Carl does it, where the answer is 255 degrees.
Using the normal distribution, it is found that the score needed to qualify is of 88.32.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It 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, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by
and
.
The top 15% of the applicants are selected, hence the score needed to qualify is the 85th percentile, which is X when Z = 1.04, hence:


X - 80 = 1.04(8)
X = 88.32.
The score needed to qualify is of 88.32.
More can be learned about the normal distribution at brainly.com/question/24663213
The inequality to find possible <em>distances</em> from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.
<h3>Inequality</h3>
Minimum distance=(50×2)
Minimum distance=100 miles
Time (T) required to cover the distance (D)
Time=D/50 hours
Inequality is 2+D/50≤6
Hence:
Let solve for Distance (D)
D/55≤6-2
D≤4×50
≤200
Therefore the inequality to find possible <em>distances</em> from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.
Learn more about inequality here:brainly.com/question/22857154
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Given:



To find:
The value of a and PQ.
Solution:
We have,

(CPCTC)
So,


Isolating variable terms, we get


Divide both sides by -2.


Now,




Therefore, the value of a is 8 and the value of PQ is 28.