Rachel Newton scored 33 points in a recent basketball game. She scored 21 times, making several free throws worth 1 point each a
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Answer:
Step-by-step explanation:
Let's start by finding the first derivative of . We can do so by using the power rule for derivatives.
The power rule states that:
This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.
Another rule that we need to note is that the derivative of a constant is 0.
Let's apply the power rule to the function f(x).
Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.
Simplify the equation.
Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).
Simplify the equation.
Therefore, this is the 2nd derivative of the function f(x).
We can say that:
Answer:
(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)
Ok, we have a rectangle of length x by r.
At the extremes of length r, we add two semicircles.
So the perimeter will be equal to:
Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).
The radius of the semicircles is r, and the perimeter of a circle is:
C = 2*pi*r
where pi = 3.14
Then the perimeter of the track is:
P = 2*x + 2*pi*r.
b) now we want to solve this for x, this means isolating x in one side of the equation.
P - 2*pi*r = 2*x
P/2 - pi*r = x.
c) now we have:
P = 660ft
r = 50ft
then we can replace the values and find x.
x = 660ft/2 - 3.14*50ft = 173ft
Answer: Our required probability is 0.55.
Step-by-step explanation:
Since we have given that
Probability that chance of winning the hotel bid = 40%
Probability that no chance of winning the hotel bid = 100-40=60%
Probability that chance of winning the office building bid = 25%
Probability that no chance of winning the office building bid = 100-25 = 75%
So, Probability that the company will win at least one contract is given by
Hence, our required probability is 0.55.