Answer:
for the second one,
f(4)= 2⁴-7= 9
g(4)= 1.5x4-3= 3
therefore 9>3
f(4)>g(4)
24 PTS!!!!!!1
1 answer:
Answer:
D (7, 0.5)
Step-by-step explanation:
The equations must be interpreted to be ...
- y = -1/2x +4
- y = 1/2x -3
A graph shows the solution to be (7, 0.5), matching selection D.
___
You can add the two equations together to get ...
(y) +(y) = (-1/2x +4) + (1/2x -3)
2y = 1 . . . . . simplify
y = 1/2 . . . . .divide by 2
It can be convenient to use the second equation to find x.
1/2 = 1/2x - 3
1 = x - 6 . . . . . . multiply by 2
7 = x . . . . . . . . . add 6
The solution is (x, y) = (7, 0.5). . . . . matches selection D.
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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:
a. V = 4/3
b. See attachment
Step-by-step explanation:
a.
Given
Z = x² + y²
V = ∫ ∫ (x² + y²) dxdy {0,1}{0,y} + ∫ ∫ (x² + y²) dxdy {0,1}{x,2-x}
V = ∫ ∫ (x² + y²) dxdy {0,1}{x,2-x}
Integrate with respect to y
V = ∫ x²y+ y³/3 dx {0,1}{x,2-x}
V = ∫ x²(2-x) + (2-x)³/3 - x²(2) - (2)³/3 dx {0,1}
V = ∫ 2x² -7x³/3 + (2-x)³/3 dx {0,1}
V = 2x³/3 - 7x⁴/12 + (2-x)⁴/12 {0,1}
V = (⅔ - 7/4 + 2/12) - (0-0+16/12)
V = 4/3
