Answer:
The probability that you get zero questions correct is 0.4096
The probability that you get one questions correct is 0.4096
The probability that you get three questions correct is 0.0256
Step-by-step explanation:
These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:

Where x is the variable that says the number of success in the n situations
And nCx is calculate as:

From the question we can identify that:
- n is equal to 4 multiple choice question
- p is 1/5 or 0.2, the probability of get one question correct
- q is 4/5 or 0.8, the probability of get one question incorrect
Then the probability of get zero questions correct of 4 questions is:

The probability of get one question correct of 4 questions is:

The probability of get three questions correct of 4 questions is:

Answer: The answer is 3n + 2
Step-by-step explanation: You will have to combine like terms:
=−n + −4 + 4n + 6
=(−n + 4n) + (−4 + 6)
=3n + 2
Answer: X = 2
Step-by-step explanation:
Step 1: Simplify both sides of the equation!
Step 2: Subtract 4x from both sides.
Step 3: Subtract 6 from both sides.
Step 4: Multiply both sides by 2/(-7).
Basically you need to make the denominator (whats on the bottom) the same, lets take the first one for example
2 3/4, lets put this all over 4 for the same denominator.
2=8/4, and then add this to 3/4 to get 11/4.
the second part will work the same way,
start by making 1 into 8/8. add this to 1/8 to get 9/8
now we have to add 11/4 and 9/8. to do this, you have to find the smallest multiple between the two (for example: between 6 and 4 it would be 12, since 4*3= 12, and 2*6=12)
now, the smallest common multiple between 4 and 8 would just be 8
11/4= 22/8, since you multiply the bottom and top by the same amount so it still equals 11/4, but your denominator will now be 8.
now you can subtract. 22/8- 9/8= 13/8
final answer: 13/8
try the rest yourself since this is important for later math, hoped this helped :)
Answer:
8 35/36
Step-by-step explanation:
1 5/12 * 6 1/3= 8 35/36