Riley has 4 flavors
caleb had 2 flavors
4-2 equals 2
Using the mean concept, it is found that:
Relative to Sabrina's goal, her average swim time over the last five weeks is 0.1 hours.
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The mean of a data-set is given by the <u>sum of all observations divided by the number of observations</u>.
In this problem:
- The data-set is her swim time relative to her goal, which is: {1.25, -1, 2.25, 0, -2.}
Thus, the mean is:

Relative to Sabrina's goal, her average swim time over the last five weeks is 0.1 hours.
A similar problem is given at brainly.com/question/24787716
Answer:
Value of k is
Step-by-step explanation:
We are given the following information in the question:

where x is the time elapses between the end of the hour and the end of the lecture.
We have to find the values of k.
Since, f(x) is the pdf, then,
![\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5E%5Cinfty_%7B-%5Cinfty%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20kx%5E2%20%3D%201%5C%5C%5C%5Ck%5Cbigg%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cbigg%5D%5E2_0%20%3D%201%5C%5C%5C%5Ck%5Ctimes%20%5Cfrac%7B8%7D%7B3%7D%20%3D%201%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
Hence, value of k is 