Answer:
Probability = 0.12025
Step-by-step explanation:
P (Am) = 1/50 = 0.02 {Magazine ad}
P (At) = 1/8 = 0.125 {Television ad}
P (Am ∩ At ) = 1/100 = 0.01 {Both ads}
P (Am U At) = P (Am) + P (At) - P (Am ∩ At )
= 0.02 + 0.125 - 0.01
P (Am U At) = 0.135 {Person sees either ad}
P (Am' ∩ At') = 1 - P (Am U At)
P (Am' ∩ At') = 1 - 0.135 = 0.865 {Person sees none ad}
Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)
P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1
P (P) = (0.25) (0.135) + (0.1) (0.865)
= 0.03375 + 0.0865
0.12025
Use the linear slope formula to solve for m:
m=(y2-y1)/(x2-x1)
using the points (-1,1) and (1,5) you can find the slope for the first interval:
m=(5-1)/(1-(-1))
m=4/2
m=2
you can double check by using the same formula on the second interval, which is (1,5) to (3,9).
m=(9-5)/(3-1)
m=4/2
m=2
therefore, the rate of change is 2.
Answer:
The solution is obtained by adding the two equations.
The solution is: (x, y) = (
,
)
Step-by-step explanation:
We are given two equations with two variables. The strategy is to eliminate one variable and solve for both the variables.
The two equations are:
![$ 7x + y = - 7 \hspace{15mm} \hdots (1) $](https://tex.z-dn.net/?f=%24%207x%20%2B%20y%20%3D%20-%207%20%5Chspace%7B15mm%7D%20%5Chdots%20%281%29%20%24)
![$ 2x - y = 1 \hspace{15mm} \hdots (2) $](https://tex.z-dn.net/?f=%24%202x%20-%20y%20%3D%201%20%5Chspace%7B15mm%7D%20%5Chdots%20%282%29%20%24)
Adding both the equations, we get:
![$ 7x + 2x + y - y = - 7 + 1 $](https://tex.z-dn.net/?f=%24%207x%20%2B%202x%20%2B%20y%20-%20y%20%3D%20-%207%20%2B%201%20%24)
![$ \implies 9x = - 6 $](https://tex.z-dn.net/?f=%24%20%5Cimplies%209x%20%3D%20-%206%20%24)
![$ \implies x = - \frac{2}{3} $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20x%20%3D%20-%20%5Cfrac%7B2%7D%7B3%7D%20%24)
Substituting the value of 'x', we get the value of y.
We substitute in (2). [Can be substituted in any equation].
We get: y = 2x - 1
![$ \imples y = 2\bigg(\frac{-2}{3}\bigg) - 1 $](https://tex.z-dn.net/?f=%24%20%5Cimples%20y%20%3D%202%5Cbigg%28%5Cfrac%7B-2%7D%7B3%7D%5Cbigg%29%20-%201%20%24)
![$ \implies -\frac{4}{3} - 1 $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20-%5Cfrac%7B4%7D%7B3%7D%20-%201%20%24)
![$ \implies y = -\frac{7}{3} $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20y%20%3D%20-%5Cfrac%7B7%7D%7B3%7D%20%24)
So, we get the corresponding values of x and y which is the solution of the two equations.
Answer:
ummmmmmmm
Step-by-step explanation:
The answer will be 60 because 8*8=64 then subtract 4