Answer:
8x miles
Step-by-step explanation:
- runs with speed 8 mph
- bikes at an average speed of 14 mph
distance = speed * time
Here the speed for run is 8 mph and time is x hours
So distance covered: 8 * x = 8x miles.
Answer:
Step-by-step explanation:
Given the function f(m)=20-0.25m to represent the amount of money f(m) she has left after talking m minutes, the zero of the equation can be gotten by setting f(m) to 0
f(m)=20-0.25m
0 =20-0.25m
-20 = -0.25m
m = -20/-0.25
m = 80
Hence Trudy will have talked for 80minutes if she has no money left
Answer:
what exactly are you asking?
I am very good at math so I can help you but I dont understand the question you are asking, I need more information.
Step-by-step explanation:
Answer:
![(B) P(B)=\dfrac{16}{31}](https://tex.z-dn.net/?f=%28B%29%20P%28B%29%3D%5Cdfrac%7B16%7D%7B31%7D)
Step-by-step explanation:
From the Venn diagram, n(AUB)=31
The given probabilities in the option are calculated below:
![P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}](https://tex.z-dn.net/?f=P%28A%29%3D%5Cdfrac%7B21%7D%7B31%7D%5C%5C%5C%5CP%28B%29%3D%5Cdfrac%7B16%7D%7B31%7D%5C%5C%5C%5CP%28A%7CB%29%3D%5Cdfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28B%29%7D%3D%20%5Cdfrac%7B6%2F31%7D%7B16%2F31%7D%20%3D%5Cdfrac%7B6%7D%7B16%7D%3D%5Cdfrac%7B3%7D%7B8%7D%20%5C%5C%5C%5CP%28B%7CA%29%3D%5Cdfrac%7BP%28B%5Ccap%20A%29%7D%7BP%28A%29%7D%3D%20%5Cdfrac%7B6%2F31%7D%7B21%2F31%7D%20%3D%5Cdfrac%7B6%7D%7B21%7D%3D%5Cdfrac%7B3%7D%7B7%7D)
The only correct option is the probability of B which is ![\frac{16}{31}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B31%7D)