Answer:
Step-by-step explanation:
y - 35
Answer:
The answer is x = -17/6.
Step-by-step explanation:
Given:
5 1/3 + x = 2 1/2 . Using least common denominator.
Now, to solve the equation:
![5\frac{1}{3}+x=2\frac{1}{2}](https://tex.z-dn.net/?f=5%5Cfrac%7B1%7D%7B3%7D%2Bx%3D2%5Cfrac%7B1%7D%7B2%7D)
![=\frac{16}{3} +x=\frac{5}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B16%7D%7B3%7D%20%2Bx%3D%5Cfrac%7B5%7D%7B2%7D)
Subtracting both sides from 16/3 we get:
![x=\frac{5}{2}- \frac{16}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%7D%7B2%7D-%20%5Cfrac%7B16%7D%7B3%7D)
Now, the least common denominator of 2 and 3 is 6.
So, we using this we calculate:
![x=\frac{5\times 3-16\times 2}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Ctimes%203-16%5Ctimes%202%7D%7B6%7D)
![x=\frac{-17}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-17%7D%7B6%7D)
Therefore, the answer is x = -17/6.
Answer:
84 pieces of fruit.
Step-by-step explanation:
I got this answer by doing 12*6 = 72, but this is not our final answer because we still have to add the pineapples which gives us 84.
Hope this helps!!
Answer:
A. W
Step-by-step explanation:
Because this is a rigid transformation, quadrilaterals WXYZ and ABCD are congruent. Corresponding parts of corresponding figures are congruent, so W is congruent to A and because we know the measure of angle A, you also know the angle measure of W.
Answer:
Step-by-step explanation:
Let M be the heights of men in the United States and W be the heights of women in the United States
Given that M is N(69.1, 2.9) and W (63.7, 2.7)
For a husband and wife we have average height as
=Z (say)
![Mean =E(z) = \frac{1}{2} [E(M)+E(W)] = 66.4 inches](https://tex.z-dn.net/?f=Mean%20%3DE%28z%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5BE%28M%29%2BE%28W%29%5D%20%3D%2066.4%20inches)
Var (Z) =![Var (\frac{x+y}{2} )=\frac{1}{4}[Var(x)+ Var(y)+2 cov (x,y)]\\](https://tex.z-dn.net/?f=Var%20%28%5Cfrac%7Bx%2By%7D%7B2%7D%20%29%3D%5Cfrac%7B1%7D%7B4%7D%5BVar%28x%29%2B%20Var%28y%29%2B2%20cov%20%28x%2Cy%29%5D%5C%5C)
=![0.25[2.9^2+2.7^2+2*r*sx*sy]\\= 0.25(20.398)\\=5.0995](https://tex.z-dn.net/?f=0.25%5B2.9%5E2%2B2.7%5E2%2B2%2Ar%2Asx%2Asy%5D%5C%5C%3D%200.25%2820.398%29%5C%5C%3D5.0995)
Mean = 66.4" and std dev = 2.258