Sophia and Sophie go to the movie theater and purchase refreshments for their friends. Sophia spends a total of $20.50 on 4 bags
1 answer:
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Answer: y = 4x-3
slope = 4, y intercept = -3
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m = 4 is the slope
is the point the line goes through
Using point slope form, we can say,
The equation is in slope intercept form y = mx+b
m = 4 = slope
b = -3 = y intercept
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As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b
y = mx+b
-11 = 4(-2)+b
-11 = -8+b
-11+8 = -8+b+8
-3 = b
b = -3 we get the same y intercept value as above
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To check the answer, plug x = -2 into the equation. We should get y = -11
y = 4x-3
y = 4(-2)-3
y = -8-3
y = -11 we get the proper y value. The answer is confirmed.
Answer:
- men AS: 65.9%
- women AS: 62.1%
- men AA: 76.7%
- women AA: 72.8%
- men AAS: 89.1%
- women AAS: 88.9%
- men total: 77.8%; women total: 76.8%
This data DOES NOT show Simpson's Paradox.
Step-by-step explanation:
The acceptance rate for any given group is ...
(number accepted)/(number applied) × 100%
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<em>Example</em>:
For the overall acceptance rate for men the numbers are ...
809/1040 × 100% ≈ 0.7779 × 100% ≈ 77.8%
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I find it convenient to let a spreadsheet do the tedious math and rounding. In the attached spreadsheet, the total is the sum of the numbers to its left.
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Simpson's Paradox is a condition in the data where group trends are different from the trend of combined groups. For gender-related issues, it usually means that men and women individually experience different results than are illustrated by combined statistics.
Here, men are accepted at a higher rate for each program, and the overall rate for the school shows a higher acceptance rate for men. These results are consistent, so there is no "Simpson's Paradox" illustrated by this data.
