Answer:
D.
Step-by-step explanation:
Pythagorean Theorem
(1 point) Find f if f′′(x)=2+cos(x),f(0)=3,f(π/2)=−6.
1 answer:
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9514 1404 393
Answer:
y = 4/5x +13/5
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(3 -(-2)) = 4/5
The y-intercept is given by the formula ...
b = y -mx . . . . for any point (x, y)
b = 1 -(4/5)(-2) = 1 +8/5 = 13/5 . . . . using the first point
So, the equation is ...
y = mx +b
y = 4/5x +13/5
_____
<em>Additional comment</em>
If you have a bunch of these to do, you may want to make a spreadsheet with the formulas built in. Then you can type in the two points and have it spit out the m and b for your equation. Even if you don't use it to <em>do</em> the work, you can use it to <em>check</em> the work.
Answer:
There is a 50% probability that its total life will exceed 20,000 miles.
Step-by-step explanation:
To solve this question, we use the following formula:
In which P(A|B) is the probability of A happening, given that B has happened, is the probability of A and B happening, and P(B) is the probability of B happening.
In this problem, we want:
The probability of the total life of the car battery exceeding 20,000 miles, given that it exceeded 10,000 miles.
is the probability of exceeding 20,000 and 10,000 miles. It is the same as the probability of exceeding 20,000 miles(If it exceeded 20,000 miles, necessarily it will have exceeded 10,000 miles). So
P(B) is the probability of exceeding 10,000 miles. So
So
There is a 50% probability that its total life will exceed 20,000 miles.