To do this you have to make 667 into a decimal which gives you .67 then you multiply this by 850. This gives you 569.5 people.
Answer:
length of a rectangle = l = 7 in
Step-by-step explanation:
Let,
width of a rectangle = w
length of a rectangle = l
Area = A = 77 in
A = w×l ------> (equation 1)
According to given condition:
w = l + 4 put in (equation 1)
equation 1 ⇒ A = (l + 4)×l
77 = (l + 4)×l
77 = l² + 4l
l² + 4l -77 = 0
l² + 11l - 7l -77 = 0
(l² + 11l) - (7l + 77) = 0
l(l + 11) - 7(l + 11) = 0
(l + 11) (l - 7) = 0
(l + 11) = 0 or (l - 7) =0
l = -11 or l =7
as length is always positive, therefore
length of a rectangle = l = 7 in
w = l + 4
w = 7 + 4
width of a rectangle = w = 11 in
Answer:
y = -0.9x+10.1
Step-by-step explanation:
The equation of the line is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
You have been asked to stimate m and b. To do so, first find the product between each pair of x and y and the value of x squared:
![\left[\begin{array}{cccc}x&y&x*y&x^2\\1&9&9&1\\3&7&21&9\\5&7&35&25\\7&3&21&49\\9&2&18&81\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7Dx%26y%26x%2Ay%26x%5E2%5C%5C1%269%269%261%5C%5C3%267%2621%269%5C%5C5%267%2635%2625%5C%5C7%263%2621%2649%5C%5C9%262%2618%2681%5Cend%7Barray%7D%5Cright%5D)
Then calculate the total sum of all columns:
![\left[\begin{array}{cccc}x&y&x*y&x^2\\1&9&9&1\\3&7&21&9\\5&7&35&25\\7&3&21&49\\9&2&18&81\\\bold{25}&\bold{28}&\bold{104}&\bold{165}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7Dx%26y%26x%2Ay%26x%5E2%5C%5C1%269%269%261%5C%5C3%267%2621%269%5C%5C5%267%2635%2625%5C%5C7%263%2621%2649%5C%5C9%262%2618%2681%5C%5C%5Cbold%7B25%7D%26%5Cbold%7B28%7D%26%5Cbold%7B104%7D%26%5Cbold%7B165%7D%5Cend%7Barray%7D%5Cright%5D)
m can be calculated following the next equation:
![m=\frac{\frac{\sum{xy}-\sum{y}}{n}}{\sum{x^2}-\frac{(\sum{x})^2}{n}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B%5Cfrac%7B%5Csum%7Bxy%7D-%5Csum%7By%7D%7D%7Bn%7D%7D%7B%5Csum%7Bx%5E2%7D-%5Cfrac%7B%28%5Csum%7Bx%7D%29%5E2%7D%7Bn%7D%7D)
where n is the number of (x, y) couples (5 in our case).
Replacing the values calculated previously:
![m=\frac{104-\frac{25*28}{5} }{165-\frac{25^2}{5} }=\frac{104-\frac{700}{5} }{165-\frac{625}{5} } = \frac{104-140}{165-125 } = \frac{-36}{40} = -0.9](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B104-%5Cfrac%7B25%2A28%7D%7B5%7D%20%7D%7B165-%5Cfrac%7B25%5E2%7D%7B5%7D%20%7D%3D%5Cfrac%7B104-%5Cfrac%7B700%7D%7B5%7D%20%7D%7B165-%5Cfrac%7B625%7D%7B5%7D%20%7D%20%3D%20%5Cfrac%7B104-140%7D%7B165-125%20%7D%20%3D%20%5Cfrac%7B-36%7D%7B40%7D%20%3D%20-0.9)
For b:
![b=\bar{y}- m\bar{x}=\frac{\sum{y}}{n}-m\frac{\sum{x}}{n}=\frac{28}{5}-(-0.9)\frac{25}{5}= \frac{28}{5}+\frac{22.5}{5}=\frac{50.5}{5}=10.1](https://tex.z-dn.net/?f=b%3D%5Cbar%7By%7D-%20m%5Cbar%7Bx%7D%3D%5Cfrac%7B%5Csum%7By%7D%7D%7Bn%7D-m%5Cfrac%7B%5Csum%7Bx%7D%7D%7Bn%7D%3D%5Cfrac%7B28%7D%7B5%7D-%28-0.9%29%5Cfrac%7B25%7D%7B5%7D%3D%20%5Cfrac%7B28%7D%7B5%7D%2B%5Cfrac%7B22.5%7D%7B5%7D%3D%5Cfrac%7B50.5%7D%7B5%7D%3D10.1)
In the figure attached you can see the points given and the stimated line.
We are given with two conditions and we label each positve number as x and y. The sum of the 2 numbers is x + y equal to S. The product is maximum.
The product is xy. To find the maximum
P = xy = x (S- x) = Sx - x2
dP = S - 2x = 0
hence x = S/2
y then is equal to S/2 also.
Answer:
p = 3
Step-by-step explanation:
27p + 6.25 = 87.25
- 6.25 -6.25 = 27p + 0 = 81 = 27p = 81
81/27 = 3
p = 3