Answer:
1:2
Step-by-step explanation:
there are 4 apples and 2 bananas so you divide 4/2 and get 1:2
Answer:
#1) Angle measure of B
The angles in a triangle should add up to 180. Since we know the other two angle measures, we can subtract it from 180. (180-45-15= Angle B)
Angle B= 120
#2) Length of segment BC
I would use the Law of Sines. So, sin120/200 = sin45/BC
Then cross multiply and divide.
Segment BC= 163.3
#3) Length of Segment BA
Again, I would use the Law of Sines. Same process, sin120/200 = sin15/BA
Segment BA= 59.8
Answer:
The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.
Step-by-step explanation:
We have these following rates of type II diabetes:
7% among Caucasians
10% among African-Americans
12% among Hispanics
5% among Asian-Americans.
The ethnic distribution of Houston is:
30% Caucasian
25% African-American
40% Hispanic
5% Asian-American
What is the overall probability of type II diabetes among 40- to 59-year-olds in Houston?

is the probability of finding a Caucasian with type II diabetes in Houston. So it is 7% of 30%.

is the probability of finding an African-American with type II diabetes in Houston. So it is 10% of 25%.

is the probability of finding a Hispanic with type II diabetes in Houston. So it is 12% of 40%.

is the probability of finding an Asian-American with type II diabetes in Houston. So it is 5% of 5%.


The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.
Answer:
0.0549
0.7617
0.2383
Step-by-step explanation:
Given that:
Probability that incoming email is spam ;
P(spam) = 0.38
If three emails are in my inbox, what is the probability that:
A. All three messages are spam.
P(1st message being spam) * p(second message being spam) * p(3rd message being spam)
= (0.38) * (0.38) * (0.38)
= 0.054872
= 0.0549
B. At least one of the three messages are spam.
1 - p(none of the 3 messages are spam)
P(none of the 3 messages are spam)
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
1 - [P(not spam) * p(not spam) * p(not spam)]
1 - (0.62 * 0.62 * 0.62)
= 1 - 0.238328
= 0.761672
= 0.7617
C. None of the three messages are spam.
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
P(not spam) * p(not spam) * p(not spam)
(0.62 * 0.62 * 0.62)
= 0.238328
= 0.2383