Which choice is the equation of a line that passes through the point (–2, 8) and is perpendicular to the line represented by thi
1 answer:
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Answer:
+ 2
Step-by-step explanation:
Group:
(2 + 4x) (-5
- 10)
2x ( + 2) -5 (
+ 2)
Common binomial factor = ( + 2)
The Riemann sum with n = 6, taking the sample points to be midpoints is - 12.0625
<h3>What is Riemann sum?</h3>
Formula for midpoints is given as;
M = ∑0^n-1f((xk + xk + 1)/2) × Δx;
From the information given, we have the following parameters
- x0 = 0
- n = 6
- xn = 3
Let' s find the parameters
Δx = (3 - 0)/6 = 0.5
xk = x0 + kΔx = 0.5k
xk+1 = x0 + (k +1)Δx
Substitute the values
= 0 + 0.5(k +1) = 0.5k - 0.5;(xk + xk+1)/2
We then have;
= (0.5k + 0.5k + 05.)/2
= 0.5k + 0.25.
Now f(x) = 2x^2 - 7
Let's find f((xk + xk+1)/2)
Substitute the value of (xk + xk+1)/2)
= f(0.5k+ 0.25)
= 2(0.5k + 0.25)2 - 7
Put values into formula for midpoint
M = ∑05[(0.5k + 0.25)2 - 7] × 0.5.
To evaluate this sum, use command SUM(SEQ) from List menu.
M = - 12.0625
A Riemann sum represents an approximation of a region's area from addition of the areas of multiple simplified slices of the region.
Thus, the Riemann sum with n = 6, taking the sample points to be midpoints is - 12.0625
Learn more about Riemann sum here:
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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%.