Answer:
Below
Step-by-step explanation:
sin 32 = d / 500
Cross multiply:
d = 500 * sin 32 = 275.71 feet.
He went wrong by dividing by sin 32 instead of multiplying.
He should have cross multiplied.
Answer:
0.0326 = 3.26% probability that she is a student.
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: Woman developer
Event B: Student
Probability that the developer is a woman:
7.4% of 25.8%(students).
76.4% of 100 - 25.8 = 74.2%(not students). So

Student and woman developer.
7.4% of 25.8%(students), so

If we encounter a woman developer, what is the probability that she is a student

0.0326 = 3.26% probability that she is a student.
2nd term = 3 - 14 = -11
3rd tern = -11-14 = -25 answer
Answer:
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
Step-by-step explanation:
Let smaller cooler's capacity be x gallons
Hence
Larger cooler's capacity will be 5x gallons
Together, they will hold 45 gallons, thus we can write:
x + 5x = 45
Solving:
x + 5x = 45
6x = 45
x = 45/6 = 7.5
And 5x = 5(7.5) = 37.5
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons