Answer:
P(X < 4) = 0.5
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that 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.
In this question, we have that:
Find the probability that the number of correct answers is fewer than 4:
This is
So
P(X < 4) = 0.5
Answer:
Jenny will receive $12.51 in change.
Step-by-step explanation:
We need to find the total cost first.
19.99 + 7.50 = 27.49
We then subtract that from the 40 dollars she gave to get the amount of change she receives.
40.00 - 27.49 = 12.51.
She will receive $12.51 in change.
hope this helped!
Answer:
0 —> 15
1 —> 13.75
2 —> 12.5
3 —> 11.25
Step-by-step explanation:
Every time she drives for 1 hour, the car uses up 1.25 gallons of gas. If she fills it up and doesn't drive anywhere, the car will still be full with 15 gallons. If she drives for an hour, you would need to subtract 1.25 from 15 which would equal 13.75.
Then if she drives another hour, then you would subtract another 1.25 from 13.75.
Or a quicker way to do it would be if you multiply the number of hours driven by the gallons used per hour then subtract it from the filled up tank.... So for example if she drove 3 hours —> 3•1.25=3.75 then 15-3.75=11.25
Since DB is the median of the triangle, it would bisect the base AC. This would mean that AB and BC are equal halves of the whole AC. So, if AC is 50, then,
AC = AB + BC
since AB = BC,
AC = 2AB
50 = 2AB
AB = 50/2
AB = 25
The answer is 25.
Answer:
10
Step-by-step explanation:
