Answer:
A (0,0)
Step-by-step explanation:
When a function intersects the y-axis then the point of intersection is called y-intercept of the function,
Also, for y-intercept x = 0.
That is, if f(x) is the function then its y-intercept is (0, f(0) )
By the given table for x = 0, f(x) = 0
Hence, the y-intercept of the given function is (0,0),
Option A is correct.
Answer: The length is 22 feet. The width is 4 feet.
Step-by-step explanation: Create an equation for the length: 2+5w=52.
Now combine the two sides to get 4+10w=52. Plug in some numbers that seem reasonable. I started with 4, checked my work and found that it was right. This problem is all about trial and error.
So, 4+10(4)= 44. Make sure to remember the width, so add 4 for each side: 44+8. 44+8=52. Hope this helps :)
Answer:
y=-2x+1
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of one another. slope 1/2 perpendicular will be -2/1=-2
y-5=-2(x-(-2))
y-5=-2(x+2)
y-5=-2x-4
y=-2x-4+5
y=-2x+1
Part a)
Answer: 5*sqrt(2pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi
Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"
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Part b)
Answer: 3*sqrt(3pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi
Note: the same issue comes up as before in part a)
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Part c)
Answer: sqrt(19pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
The correlation coefficient of the data provided is -0.52.
<h3>What is the correlation coefficient?</h3>
Correlation is a measure that is used in statistics to determine the linear relationship that exists between two variables. Correlation can be positive, negative or zero.
Positive correlation is when two variables move in the same direction. Negative correlation is when two variables move in opposite directions. Zero correlation is when there is no relationship between the variables.
Correlation can be determined using a financial calculator. When the financial calculator is used, the correlation coefficient is -0.52
To learn more about negative correlation, please check: brainly.com/question/27246345
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