Answer:
x = 10 , y = 10
Step-by-step explanation:
using the sine and cosine ratios in the right triangle and the exact values
cos60° = , sin60° =
, then
cos60° = =
=
( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
and
sin60° = =
=
( cross- multiply )
2y = 20 ×
= 20
( divide both sides by 2 )
y = 10
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