Suppose you start a lawn-mowing business and make a profit of $400 in the first year. Each year, your profit increases 5%. Write
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Complete Question
The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.305 minute. The winning car, driven by Roger, finished in 185.85 minutes. The previous year's race had a mean finishing time of 110.7 with a standard deviation of 0.115 minute. The winning car that year, driven by Karen, finished in 110.48 minutes.
Find their respective z-scores.
Who had the more convincing victory?
A. Roger had a more convincing victory because of a higher z-score.
B. Karen a more convincing victory because of a higher z-score.
C. Roger had a more convincing victory, because of a lower z-score.
D. Karen a more convincing victory because of a lower z-score.
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The mean of the current year is
The standard deviation is
The time taken by the winning car for the current year is
The mean of the previous year is
The standard deviation the previous year is
The time taken by the winning car for the previous year is
Generally the z-score for current year is mathematically evaluated as
=>
=>
Generally the z-score for previous year is mathematically evaluated as
=>
=>
From the value obtained we see that , Hence Karen had a more convincing victory because of the lower z -score.
The input value is the number of times you fold it. The input value is also known as the x-value.
The output value is its thickness. The output value is the y-value.
When you don't fold it all, the thickness will remain the same, which is 2. The ordered pair would be (0, 2).
When you fold it once, the thickness will double from 2 to 4. The ordered pair would be (1,4).
When you fold it a second time, the thickness will double from 4 to 8. The ordered pair would be (2,8).
Fold it one more time, and the thickness will be 16. The ordered pair is (3,16)
Fold it the fourth time, and the thickness doubles. 16 x 2 = 32 The ordered pair is (4, 32)
Fold it the fifth time, and the thickness goes from 32 to 64. The ordered pair is (5,64)
The ordered pairs would be:
(0,2)
(1,4)
(2,8)
(3,16)
(4,32)
(5,64)
(6,128)
(7,256)
and so on :P
The question asks for 6 ordered pairs, so I bolded the first six.
Now, the equation for this would be
If we graph that, and we do the vertical line test, then we know this is a function.
It is a function because each x-value has a different y-value. There are no y-values that have the same x-values.
<span>I have attached the graph of that line.</span>
The output value is its thickness. The output value is the y-value.
When you don't fold it all, the thickness will remain the same, which is 2. The ordered pair would be (0, 2).
When you fold it once, the thickness will double from 2 to 4. The ordered pair would be (1,4).
When you fold it a second time, the thickness will double from 4 to 8. The ordered pair would be (2,8).
Fold it one more time, and the thickness will be 16. The ordered pair is (3,16)
Fold it the fourth time, and the thickness doubles. 16 x 2 = 32 The ordered pair is (4, 32)
Fold it the fifth time, and the thickness goes from 32 to 64. The ordered pair is (5,64)
The ordered pairs would be:
(0,2)
(1,4)
(2,8)
(3,16)
(4,32)
(5,64)
(6,128)
(7,256)
and so on :P
The question asks for 6 ordered pairs, so I bolded the first six.
Now, the equation for this would be
If we graph that, and we do the vertical line test, then we know this is a function.
It is a function because each x-value has a different y-value. There are no y-values that have the same x-values.
<span>I have attached the graph of that line.</span>