Answer:
0.6154 = 61.54% probability that the student is an undergraduate
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

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: Foreign
Event B: Undergraduate.
There are four times as many undergraduates as graduate students
So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.
Probability the student is foreign:
10% of 80%
25% of 20%. So

Probability that a student is foreign and undergraduate:
10% of 80%. So

What is the probability that the student is an undergraduate?

0.6154 = 61.54% probability that the student is an undergraduate
The probability that a region prone to hurricanes will be hit by a hurricane in any single year is one tenth or 0.1
P(at least one) = 1 - P(none in five years)
-----
= 1 - 0.90^5
= 1 - 0.59049
=0.40951 or 0.41.
41% probability that there will be a hurricane at least once in the next 5 years.
Answer:
Number of quarts=16
Money earned=$32
Step-by-step explanation:
Given
- 4 Gallons of lemonade is prepared
- They charge $2 for a quart
1 Gallon= 4 Quarts
Therefore Number of quarts

Therefore Number of quarts of lemonade prepared by them = 16 quarts
As they charge $2 for each quart
⇒
Total money made if they sell it all

Therefore, if they are to sell all the lemonade that they prepared
They would earn=$32
Since the percent increase is bigger than 100%, it definitely has to be more than 54,000.
so let's break this down:
250%= 100% + 100% + 50%
we know 100% is the whole price so if there are 2 100% we have to multiply the price by two!!!
54,000•2 = 108,000
now, 50% is half of the whole price, divide the price by two:
54,000÷2= 27,000
so add your results and you will get this!
108,000+27,000= 135,000
Answer: 5
Step-by-step explanation:
8-2b=-2
8-2b-8=-2-8
-2b=-10
-2b/-2=-10/-2
b=5