Answer:
Hello,
Step-by-step explanation:
Part A: see picture
Part B: see picture
Part C:
You must remenber :
![\displaystyle \sum_{i=1}^{n} i= \dfrac{n*(n+1)}{2} \\\\\displaystyle \sum_{i=1}^{n} i^2= \dfrac{n*(n+1)(2n+1)}{6} \\\\\\\int\limits^{20}_0 {(20\ x-x^2)} \, dx =[\dfrac{20\ x^2}{2} -\dfrac{x^3}{3} ]^{20}_0=\dfrac{20^3}{3} =1333.\overline{3}\\\\\\](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20i%3D%20%5Cdfrac%7Bn%2A%28n%2B1%29%7D%7B2%7D%20%5C%5C%5C%5C%5Cdisplaystyle%20%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20i%5E2%3D%20%5Cdfrac%7Bn%2A%28n%2B1%29%282n%2B1%29%7D%7B6%7D%20%5C%5C%5C%5C%5C%5C%5Cint%5Climits%5E%7B20%7D_0%20%7B%2820%5C%20x-x%5E2%29%7D%20%5C%2C%20dx%20%3D%5B%5Cdfrac%7B20%5C%20x%5E2%7D%7B2%7D%20-%5Cdfrac%7Bx%5E3%7D%7B3%7D%20%5D%5E%7B20%7D_0%3D%5Cdfrac%7B20%5E3%7D%7B3%7D%20%3D1333.%5Coverline%7B3%7D%5C%5C%5C%5C%5C%5C)
We divide the intervalle in n equal parts:


Answer:

Step-by-step explanation:
Let
x -----> the number of hours
y ----> the total cost to rent a bike in dollars
we know that
The equation of the line in slope intercept form is equal to

where
m is the slope or the unit rate of the linear equation
b is the y-intercept or the initial value
In this problem we have
The unit rate or slope is equal to

The y-intercept (value of y when the value of x is equal to zero) is equal to
----> (fee charge)
substitute the values

Answer:
-4/2
Step-by-step explanation:
rise over run
goes down -4 "rises"
moves over 2 runs
Answer:
1 /8
Step-by-step explanation:
Given that :
Number of sections on spinner = (1,2,3,4,5,6,7,8) = 8
Number of 5's = 1
Recall :
Probability of event A = number required outcome / Total possible outcomes
P(5) = 1/8