Answer:
yes
Step-by-step explanation:
not sure how to explain it's kinda hard sorry
Answer:
(4, 1).
Step-by-step explanation:
The solution is the coordinates of the points where the 2 lines intersect.
That is where x = 4 and y = 1.
Joel's work makes $9.50/ hr. During the 2 Day, 11 hrs shift, he earns a total of $217.55 but spends a cash of $9 on his bus. Therefore, the money left is $208.55. While on his 4 day, 6 hrs shift, he earns a total of $228 but spends $18, with a total money of $210. The option that he should take to make the most money is the 4 days for 6 hrs shift.
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)
Answer:
900
Step-by-step explanation
That would be 3 * 300 = 900