Answer:
0.173 probability that she gets exactly three questions correct.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Seven questions:
This means that 
Each question has four choices.
Abby guesses, which means that 
Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.
This is P(X = 3).


Fraction of strawberry = 1 / (2 + 1)
Fraction of strawberry = 1/3
Volume = πr²h/3
Volume = π(1.5)²(8)/3
Volume = 6π
Volume of strawberry = 1/3 x 6π
Volume of strawberry = 2π in³
Answer:512
Step-by-step explanation:
Answer:
AB = 32
Step-by-step explanation:
Since line l bisects AB at point M, we have AM = MB.



AM = 4(4) = 16, MB = 5(4) - 4 = 16.
So AB = AM + MB = 16 + 16 = 32.