Answer:
Answer is True.
Refer below for explanation.
Step-by-step explanation:
Therefore,
The $10,000 is included in gross income under the tax benefit rule. Interest on a state tax refund doesn't qualify for the state and local interest exclusion.
Answer:
0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
![P(B|A) = \frac{P(A \cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D)
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Black sock on the first draw.
Event B: Black sock on the second draw.
The probability of selecting a black sock on the first draw is 8/19.
This means that ![P(A) = \frac{8}{19}](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%5Cfrac%7B8%7D%7B19%7D)
Black socks on both draws:
The probability of selecting two black socks is 120/703
This means that ![P(A \cap B) = \frac{120}{703}](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%20%5Cfrac%7B120%7D%7B703%7D)
What is the probability of selecting a black sock on the second draw given that a black sock was selected on the first draw?
![P(B|A) = \frac{P(A \cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D)
![P(B|A) = \frac{\frac{120}{703}}{\frac{8}{19}}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7B%5Cfrac%7B120%7D%7B703%7D%7D%7B%5Cfrac%7B8%7D%7B19%7D%7D)
![P(B|A) = \frac{120}{703}*\frac{19}{8}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7B120%7D%7B703%7D%2A%5Cfrac%7B19%7D%7B8%7D)
![P(B|A) = \frac{120*19}{703*8}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7B120%2A19%7D%7B703%2A8%7D)
![P(B|A) = 0.4054](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%200.4054)
0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw
Step-by-step explanation:
Mass (m) = 11 g
volume (v) = 13 ml
density (d) = ?
We know density is defined as mass per unit volume so
d = m / v
= 11 / 13
= 0.85 g/ml
Density (d) = 0.85 g/ml
Answer:
maria is 66 in juan is 51 in.
Step-by-step explanation:
1 1/4= 15 in.
1/3= 4 in.
Maria - 62+4= 66in.= 5 ft 6 in
Juan - 66in. - 15in. = 51
Answer:
= 4
Step-by-step explanation:
There ar