Please solve this ASAP for 30 points
1 answer:
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Answer:
D. y = –2x – 7
Step-by-step explanation:
First, find the <em>rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>]:
-y₁ + y₂\-x₁ + x₂ = m
In this case, the y-intercept of [0, -7] is ALREADY given to you, so we would not have to go further in this case.
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Answer:
a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.
b) 156 would be expected to have a test score that would meet the colleges requirement
c) The lowest score that would meet the colleges requirement would be decreased to 26.388.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
a. Find the lowest test score that a student could get and still meet the colleges requirement.
This is the value of X when Z has a pvalue of 1 - 0.12 = 0.88. So it is X when Z = 1.175.
The lowest test score that a student could get and still meet the colleges requirement is 27.0225.
b. If 1300 students are randomly selected, how many would be expected to have a test score that would meet the colleges requirement?
Top 12%, so 12% of them.
0.12*1300 = 156
156 would be expected to have a test score that would meet the colleges requirement
c. How does the answer to part (a) change if the college decided to accept the top 15% of all test scores?
It would decrease to the value of X when Z has a pvalue of 1-0.15 = 0.85. So X when Z = 1.04.
The lowest score that would meet the colleges requirement would be decreased to 26.388.
15 yellow 6 green
5+2 equals 7
21 divided by 3 is 7
5x3=15
2x3=6
5+2 equals 7
21 divided by 3 is 7
5x3=15
2x3=6