Answer:
Alex is correct.
Step-by-step explanation:
In order for Alex to get to $0, meaning he owes the bank nothing, he has to add 155 dollars to negative 155 dollars, because this means he has no debt left. The absolute value of -155 is 155 and if Alex pays the 155 dollars, he will not have to pay anything else to the bank.
Answer:
a) r=-0.719
b) y=10.642-0.976x
c)Predicted y=7.714
Step-by-step explanation:
a)
sumx=1+4+6+7=18
sumy=9+7+8+1=25
sumxy=1*9+4*7+6*8+7*1=92
sumx²=1²+4²+6²+7²=102
sumy²=9²+7²+8²+1²=195
n=number of observation=4
The correlation coefficient is computed by following formula
![r=\frac{nsumxy-(sumx)(sumy)}{\sqrt{[nsumx^{2} -(sumx)^2][nsumy^2-(sumy)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bnsumxy-%28sumx%29%28sumy%29%7D%7B%5Csqrt%7B%5Bnsumx%5E%7B2%7D%20-%28sumx%29%5E2%5D%5Bnsumy%5E2-%28sumy%29%5E2%5D%7D%7D)
![r=\frac{4(92)-(18)(25)}{\sqrt{[4(102) -(18)^2][4(195)-(25)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4%2892%29-%2818%29%2825%29%7D%7B%5Csqrt%7B%5B4%28102%29%20-%2818%29%5E2%5D%5B4%28195%29-%2825%29%5E2%5D%7D%7D)
![r=\frac{368-450}{\sqrt{[408 -324][780-625]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B368-450%7D%7B%5Csqrt%7B%5B408%20-324%5D%5B780-625%5D%7D%7D)
![r=\frac{-82}{\sqrt{[84][155]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-82%7D%7B%5Csqrt%7B%5B84%5D%5B155%5D%7D%7D)
![r=\frac{-82}{\sqrt{13020}}\\r=\frac{-82}{114.1052}\\r=-0.7186](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-82%7D%7B%5Csqrt%7B13020%7D%7D%5C%5Cr%3D%5Cfrac%7B-82%7D%7B114.1052%7D%5C%5Cr%3D-0.7186)
By rounding r to 3 decimal places we get r=-0.719.
b)
The regression equation can be written as y=a+bx
We have to find "a" and "b" for regression equation
![b=\frac{nsumxy-(sumx)(sumy)}{{nsumx^{2} -(sumx)^2}}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7Bnsumxy-%28sumx%29%28sumy%29%7D%7B%7Bnsumx%5E%7B2%7D%20-%28sumx%29%5E2%7D%7D)
![a=ybar-b(xbar)](https://tex.z-dn.net/?f=a%3Dybar-b%28xbar%29)
![b=\frac{4(92)-(18)(25)}{{4(102) -(18)^2}}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B4%2892%29-%2818%29%2825%29%7D%7B%7B4%28102%29%20-%2818%29%5E2%7D%7D)
![b=\frac{-82}{{84}}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B-82%7D%7B%7B84%7D%7D)
b=-0.976
xbar=sumx/n
xbar=18/4=4.5
ybar=sumy/n
ybar=25/4=6.25
a=ybar-b(xbar)
a=6.25-(-0.976)4.5
a=6.25+4.392
a=10.642
Thus, the regression equation is
y=a+bx
y=10.642-0.976x
c)
The predicted value of y for x=3 can be computed by putting the value of x in regression equation
y=10.642-0.976(3)
y=10.642-2.928
y=7.714
Hence, the predicted y-value for x=3 is 7.714.
Answer:
Step-by-step explanation:
The 7 underlined is hundredth
to round off 183.67(2 decimal place)
Answer and Step-by-step explanation:
<u>The area formula for a trapezoid is as follows:</u>
A = ![\frac{a + b}{2}h](https://tex.z-dn.net/?f=%5Cfrac%7Ba%20%2B%20b%7D%7B2%7Dh)
Where:
A = Area
a = top side length
b = bottom side length
h = height
<u>Plug in the values given to you into the equation and solve.</u>
A = ![\frac{7 +12}{2}(5)](https://tex.z-dn.net/?f=%5Cfrac%7B7%20%2B12%7D%7B2%7D%285%29)
A = ![\frac{19}{2}(5)](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B2%7D%285%29)
A = ![\frac{95}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B95%7D%7B2%7D)
<u>A = 47.5 </u>
<u> is the answer.</u>
<u></u>
<em><u>#TeamTrees #PAW (Plant And Water) #ALM (All Lives Matter)</u></em>
Answer:
Step-by-step explanation:
84 pencils....7/8 given away....so if ur giving 7/8 of them away, then ur keeping 1/8 of them
1/8 of 84..." of " in math, means multiply
1/8 * 84 = 84/8 = 10.5...not sure why ur gonna keep that half of a pencil..but thats the answer