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)
Answer:
No
Step-by-step explanation:
You can only have the same denominator
Example:
2 3 5
- + - = -
9 9 9
Answer:
0.1
Step-by-step explanation:
In a problem like this the number that is more to the left is greater. As you can see 0.1 is more to the left
Answer:
- 1.67
Step-by-step explanation:
f(x) =
- ![\sqrt{7-3}](https://tex.z-dn.net/?f=%5Csqrt%7B7-3%7D)
=
- ![\sqrt{4}](https://tex.z-dn.net/?f=%5Csqrt%7B4%7D)
=
- 2
= - 1 ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
= -1.6666666
= -1.67
Step-by-step explanation:
See the attached for the proof