For a definite answer, let us take a look at the given circle graph. You are given that landing on a blue sector will give 3 points, landing on a yellow sector will give 1 point, purple sector will give 0 points and red sector will give -1 point. You are asked to find the probability of landing -1, 0, 1 and 3 points. There are a total of 7 pie graphs in the circle.
For -1 point, you know that only a red sector will give you a negative one point. In the circle graph, there are two red portions. So you will have a probability of 2/7.
For the 0 point, you know that only a purple sector will give you zero point. In the circle graph, there are two purple portions. So you will have a probability of 2/7.
For the 1 point, you know that only a yellow sector will give you one point. In the circle graph, there are two yellow portions. So you will have a probability of 2/7.
For the 3 points, you know that only a blue sector will give you three points. In the circle graph, only one blue portion is shown. So you will have a probability of 1/7.
The answer is C hope that helps
Step-by-step explanation:
x² + 4x + 3
(x+1)(x+3)
...... .
W--3 equals w+3 so then you subtract the 3 from both sides and get w=15
Answer:
The Riemann Sum for
with n = 4 using midpoints is about 24.328125.
Step-by-step explanation:
We want to find the Riemann Sum for
with n = 4 using midpoints.
The Midpoint Sum uses the midpoints of a sub-interval:

where 
We know that a = 4, b = 5, n = 4.
Therefore, 
Divide the interval [4, 5] into n = 4 sub-intervals of length 
![\left[4, \frac{17}{4}\right], \left[\frac{17}{4}, \frac{9}{2}\right], \left[\frac{9}{2}, \frac{19}{4}\right], \left[\frac{19}{4}, 5\right]](https://tex.z-dn.net/?f=%5Cleft%5B4%2C%20%5Cfrac%7B17%7D%7B4%7D%5Cright%5D%2C%20%5Cleft%5B%5Cfrac%7B17%7D%7B4%7D%2C%20%5Cfrac%7B9%7D%7B2%7D%5Cright%5D%2C%20%5Cleft%5B%5Cfrac%7B9%7D%7B2%7D%2C%20%5Cfrac%7B19%7D%7B4%7D%5Cright%5D%2C%20%5Cleft%5B%5Cfrac%7B19%7D%7B4%7D%2C%205%5Cright%5D)
Now, we just evaluate the function at the midpoints:




Finally, use the Midpoint Sum formula

This is the sketch of the function and the approximating rectangles.