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In the following situations, is there likely to be a correlation? If so does the correlation reflect a causal relationship? Explain. the average daily winter temperature and your heating bill A. There is a positive correlation. The higher the average daily winter temperature the higher your heating bill. B. There is a negative correlation and a causal correlation. The higher the average daily winter temperature the lower your heating bill. C. There is no correlation. D. There is not enough information to answer the question.
s
There is a negative correlation and a causal correlation. The higher the average daily winter temperature the lower your heating bill.
Expert answered|JANUARY|Points 142|
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Asked 4/5/2014 10:38:27 AM
Updated 4/5/2014 11:33:13 AM
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Confirmed by andrewpallarca [4/5/2014 11:33:13 AM]
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What are the solutions of the inequality? Check the solutions. 4x + 6 –3 B. x –6
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Question
Not Answered
Updated 4/6/2014 10:03:02 AM
2 Answers/Comments
4x + 6 < –6
4x < - 6 - 6
4x < -12
x < -3
Added 4/6/2014 10:01:39 AM
This answer has been confirmed as correct and helpful.
Confirmed by andrewpallarca [4/6/2014 10:18:34 AM]
Suppose U = {–10, –6, –2, 0, 3, 5} is the universal set and T is the set {–10, –6, 0}. The complement of set T is A. {–2, 3, 5}
Added 4/6/2014 10:03:02 AM
This answer has been confirmed as correct and helpful.
Confirmed by andrewpallarca [4/6/2014 10:18:35 AM]
Find the slope of the line. A. B. 2 C. -2 D.
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Question
Updated 4/6/2014 9:37:03 AM
1 Answer/Comment
The equation for the line that is parallel to the given line y = x + 8 and passes through the given point (2, 16) is C. y = x + 14
Added 4/6/2014 9:37:03 AM
This answer has been confirmed as correct and helpful.
6y = x + 5
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Question
Not Answered
Updated 4/6/2014 9:08:02 AM
7 Answers/Comments
The solution the system x = -4y + 4; 2x + 8y = 8 has is: C. infinitely many solutions.
x = -4y + 4 (equation 1), can be rewritten as x + 4y = 4
2x + 8y = 8 (equation 2), devided by 2 on both sides: x + 4y = 4
Therefore, equation 1 and 2 are the same line, and there are infinite solutions to the line system.
Added 4/6/2014 8:49:39 AM
This answer has been confirmed as correct and helpful.
Confirmed by andrewpallarca [4/6/2014 10:19:46 AM]
3x – 4y = 9
–3x + 2y = 9
Adding the above equations: -2y = 18, y = 18/-2 = -9
3x – 4(-9) = 9
3x + 36 = 9
3x = 9 - 36 = - 27
x = -27/3 = -9
The solution for the sytem of equations 3x – 4y = 9; –3x + 2y = 9 is D. (–9, –9)
Added 4/6/2014 8:54:19 AM
This answer has been confirmed as correct and helpful.
Confirmed by andrewpallarca [4/6/2014 10:19:47 AM]
3x – 4y = –24 (equation 1)
x + y = –1 multiply 4 on both sides: 4x + 4y = -4 (equation 2)
Adding up equation 1 and equation 2 we get: 7x = - 28
so x = -28/7 = -4;
(-4) + y = –1,
y = - 1 + 4 = 3
The slotion for the system of equations 3x – 4y = –24; x + y = –1 is B. (–4, 3)
Added 4/6/2014 9:00:47 AM
This answer has been confirmed as correct and helpful.
Confirmed by andrewpallarca [4/6/2014 10:19:48 AM]
The solution of the system y = x + 5; y = –5x – 1 is (-1, 4)
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x + 5 = –5x – 1
x + 5x = - 1 - 5
6x = -6
x = -1
y = -1 + 5 = 4
Added 4/6/2014 9:05:11 AM
This answer has been confirmed as correct and helpful.
Confirmed by andrewpallarca [4/6/2014 10:19:49 AM]
The solution of the system y = x + 6; y = 2x is A. (6, 12)
replace y with 2x in the equation y = x + 6 we get: 2x = x + 6, so x = 6;
y = 2(6) = 12
Added 4/6/2014 9:08:02 AM
This answer has been confirmed as correct and helpful.
Confirmed by andrewpallarca [4/6/2014 10:19:50 AM]
What are the slope and y-intercept of the graph of the given equation? y = –4x + 2 A. The slope is 4 and the y-intercept is –2. B. The slope is –2 and the y-intercept is –4. C. The slope is 2 and the y-intercept is –4. D. The slope is –4 and the y-intercept is 2.
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Question
Updated 4/6/2014 9:35:23 AM
3 Answers/Comments
The slope and y-intercept of the graph of the equation y = –4x + 2 is D. The slope is –4 and the y-intercept is 2.
Added 4/6/2014 9:12:38 AM
This answer has been confirmed as correct and helpful.
Confirmed by andrewpallarca [4/6/2014 10:20:52 AM]
The factory can produce 455 sofas in 48 hours, it's production rate is 455/48 = 9.48 sofas/hour.
The equation that relates the number of sofas produced, n, with the amount of time, t, in hours is A. n = 9.48t
Added 4/6/2014 9:32:18 AM
This answer has been confirmed as correct and helpful.
Confirmed by andrewpallarca [4/6/2014 10:21:29 AM]
The relationship between the graphs of y = | x | and y = | x | - 9 is: The y-intercept of y = | x | is 0 and the y-intercept of the second graph is –9.
Added 4/6/2014 9:35:23 AM
This answer has been confirmed as correct and helpful.
Confirmed by andrewpallarca [4/6/2014 10:20:54 AM]
Consider the sequence 130, 143, 156, 169, ... Write an explicit formula to represent the arithmetic sequence and use it to find the 13th term. A. A(n) = 130 + 13n; 299 B. A(n) = 130 + 13n; 286 C. A(n) = 130 + (n-1)13; 299 D. A(n) = 130 + (n-1)13; 286
Question
Updated 4/22/2014 11:25:34 PM
1 Answer/Comment
The formula to represent the arithmetic sequence 130, 143, 156, 169, ... is: A(n) = 130 + (n-1)13
When n = 13,
A(13) = 130 + (13-1)13 = 130 + 156 = 286
Added 4/22/2014 11:25:34 PM
This answer has been confirmed as correct and helpful.
Confirmed by jeifunk [4/22/2014 11:38:26 PM]
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