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:
1) 49/10 and 490/100
2) 49/1000
Step-by-step explanation:
Answer:
1 inch
Step-by-step explanation:
If we call the thickness of the frame x, then the dimensions of the glass are:
w = 8 − 2x
h = 10 − 2x
The area of the glass is width times height:
48 = (8 − 2x) (10 − 2x)
Distribute and simplify:
48 = 80 − 16x − 20x + 4x²
0 = 4x² − 36x + 32
0 = x² − 9x + 8
Factor and solve:
0 = (x − 1) (x − 8)
x = 1 or x = 8
x can't be more than 4 (half the width of the frame), so x = 1 inch.
