Answer:
(42.5, 37.5)
Step-by-step explanation:
Given:
Arthur = A(20, 35)
Cameron = C(65, 40)
Jamie = J(45, 20)
Required:
Coordinate of the midpoint of the distance between A and C.
SOLUTION:
Midpoint (M) of AC, is given as:
![M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})](https://tex.z-dn.net/?f=%20M%28%5Cfrac%7Bx_1%20%2B%20x_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%20%2B%20y_2%7D%7B2%7D%29%20)
Let ![A(20, 35) = (x_1, y_1)](https://tex.z-dn.net/?f=%20A%2820%2C%2035%29%20%3D%20%28x_1%2C%20y_1%29%20)
![C(65, 40) = (x_2, y_2)](https://tex.z-dn.net/?f=%20C%2865%2C%2040%29%20%3D%20%28x_2%2C%20y_2%29%20)
Plug the values into the given formula:
![M(\frac{20 + 65}{2}, \frac{35 + 40}{2})](https://tex.z-dn.net/?f=%20M%28%5Cfrac%7B20%20%2B%2065%7D%7B2%7D%2C%20%5Cfrac%7B35%20%2B%2040%7D%7B2%7D%29%20)
![M(\frac{85}{2}, \frac{75}{2})](https://tex.z-dn.net/?f=%20M%28%5Cfrac%7B85%7D%7B2%7D%2C%20%5Cfrac%7B75%7D%7B2%7D%29%20)
![M(42.5, 37.5)](https://tex.z-dn.net/?f=%20M%2842.5%2C%2037.5%29%20)
Coordinate Jamie should run towards is (42.5, 37.5)
-1 3/8 and 2 4/5
-1 15/40 and 2 32/40
1 17/40
I hope that helps you!
Solution:
we are given that
A jury pool consists of 50 potential jurors.
Wee have been asked to find the number of ways can a jury of 12 be selected.
As we know from the concept of combination that r person can be selected out of n in ncr ways. where
![n_C_r=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%20n_C_r%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%20)
Now substitute the values we get
![{50}_C_{12}=\frac{50!}{12!(50-12)!}\\ \\ {50}_C_{12}=\frac{50!}{12!38!}\\ \\ {50}_C_{12}=121399651100\\](https://tex.z-dn.net/?f=%20%7B50%7D_C_%7B12%7D%3D%5Cfrac%7B50%21%7D%7B12%21%2850-12%29%21%7D%5C%5C%0A%5C%5C%0A%7B50%7D_C_%7B12%7D%3D%5Cfrac%7B50%21%7D%7B12%2138%21%7D%5C%5C%0A%5C%5C%0A%7B50%7D_C_%7B12%7D%3D121399651100%5C%5C%20)
Hence the required number of ways is 121399651100
Answer:
Step-by-step explanation:
V=bh/3
V=(2*32)/3
V=64/3
V=21.3333 ( Round answer as needed)