So the mean is 72.97
We need to subtract the mean from each value and square it.
(65-72.97)^2= 63.5209
(68-72.97)^2=24.7009
(69-72.97)^2=15.7609
(70-72.97)^2=8.8209
(71-72.97)^2= 3.8809
(72-72.97)^2=0.9409
(90-72.97)^2=290.0209
(95-72.97)^2=485.3209
Now we add up the new values ( also consider their frequency) and find their mean.
Add the values
63.5209+(2 •24.7009=49.4018)+(5•15.7609=78.8045)+(8•8.8209=70.5672)+(7•3.8809=27.1663)+(3•0.9409=2.8227)+(2•290.0209=580.0418)+(2•485.3209=970.6418)= 1,842.967
Divide by total numburs to find the mean
1,842.967/ 30=61.43223333
The standar deviation is the square root of the mean so is
Square root of 61.43223333=7.837871735
Round to the nearest tenth
Standard Deviation is 7.8
Answer:
![x = -\frac{12}{5}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B12%7D%7B5%7D)
Step-by-step explanation:
To solve the equation, isolate x. Whatever you do to isolate x one on side, you must do to the other.
1) Multiply both sides by 9 to get rid of the fractions.
![\frac{21-4x}{9} +\frac{8x+15}{3} = 2 \\21-4x + 3(8x + 15) =18 \\](https://tex.z-dn.net/?f=%5Cfrac%7B21-4x%7D%7B9%7D%20%2B%5Cfrac%7B8x%2B15%7D%7B3%7D%20%3D%202%20%5C%5C21-4x%20%2B%203%288x%20%2B%2015%29%20%3D18%20%5C%5C)
2) Distribute the 3 to 8x and 15. Then, combine like terms.
3) Move the 66 to the other side, subtracting 18 by 66, then divide each side by 20 to finally isolate x.
![20x = -48\\x = -\frac{48}{20} \\x =- \frac{12}{5}](https://tex.z-dn.net/?f=20x%20%3D%20-48%5C%5Cx%20%3D%20-%5Cfrac%7B48%7D%7B20%7D%20%5C%5Cx%20%3D-%20%5Cfrac%7B12%7D%7B5%7D)
Thus,
.
They jumped 2 feet more as Jake + Peter = 7 so 7-5=2
Answer:
GREATEST COMMON FACTOR IS 9XZ