Find the sum of-36, -14, and 81
1 answer:
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Answer:
y = 6x + 9
Step-by-step explanation:
The equation of a line in slope- interceot form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x + 12y = - 1 into this form
Subtract 2x from both sides
12y = - 2x - 1 ( divide all terms by 12 )
y = - x -
← in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 6
Note the line passes through (0, 9) on the y- axis ⇒ c = 9
y = 6x + 9 ← equation of perpendicular line
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.