Answer:
How to find X and Y value?
If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.
Answer:
19 orders of tea
57 orders of collee
Step-by-step explanation:
find 1/4 of the 76
76/4=19
multiply by 3
19x3=57
Answer:
A) Not mutually exclusive
Step-by-step explanation:
Given
![P(A) = \frac{1}{4}](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
![P(B) = \frac{3}{5}](https://tex.z-dn.net/?f=P%28B%29%20%3D%20%5Cfrac%7B3%7D%7B5%7D)
![P(A\ or\ B) = \frac{7}{10}](https://tex.z-dn.net/?f=P%28A%5C%20or%5C%20B%29%20%3D%20%5Cfrac%7B7%7D%7B10%7D)
Required
Determine if they are mutually exclusive or not
Mutually exclusive are defined by:
![P(A\ or\ B) = P(A) + P(B)](https://tex.z-dn.net/?f=P%28A%5C%20or%5C%20B%29%20%3D%20P%28A%29%20%2B%20P%28B%29)
So, we have:
![P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}](https://tex.z-dn.net/?f=P%28A%5C%20or%5C%20B%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2B%20%5Cfrac%7B3%7D%7B5%7D)
Take LCM
![P(A\ or\ B) = \frac{5+12}{20}](https://tex.z-dn.net/?f=P%28A%5C%20or%5C%20B%29%20%3D%20%5Cfrac%7B5%2B12%7D%7B20%7D)
![P(A\ or\ B) = \frac{17}{20}](https://tex.z-dn.net/?f=P%28A%5C%20or%5C%20B%29%20%3D%20%5Cfrac%7B17%7D%7B20%7D)
By comparing:
---- Calculated
---- Given
We can conclude that A and B are not mutually exclusive because:
![\frac{17}{20} \ne \frac{7}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B20%7D%20%5Cne%20%5Cfrac%7B7%7D%7B10%7D)
The area of the garden 10 ft•50 ft= 500 sq ft