Answer:
We would recommend the Country Route as its travel time is consistently estimated between 15 and 18 minutes.
Step-by-step explanation:
Jean lives approximately 10 miles away from the college where she plans to attend a summer class lasting ten weeks. She has two primary routes available, one that traverses the city and another that goes through the countryside.
Jean has set up a randomized trial in which she flips a coin each day to determine her travel route, collecting data from five days for both.
Country Route - 17, 15, 17, 16, 18 (in minutes)
City Route - 18, 13, 20, 10, 16 (in minutes)
Next, we need to evaluate which route is superior for Jean.
The data indicates that the Country route has timing ranging from 15 to 18 minutes, suggesting she will typically arrive within this timeframe.
Conversely, the City route timings show significant variation with a minimum of 10 minutes and a maximum of 20 minutes, indicating uncertainty regarding her arrival time.
Hence, it is advisable for her to select the Country route.
1,107 cc
The scanning consists of 10 intervals:
[0,1.5), [1.5,3), [3,4.5), [4.5,6), [6,7.5), [7.5,9), [9,10.5), [10.5,12), [12,13.5), [13.5,15)
To estimate the volume using the Midpoint Rule, n should be set to 10.
Given that we will use n=5, we will split the range [0,15] into five intervals of lengths 3 each:
[0,3], [3,6], [6,9], [9,12], [12,15] and calculate their midpoints:
1.5, 4.5, 7.5, 10.5, and 13.5.
Next, we will determine the volume V from the five cylinders, where each has a height h=3 and the base area A corresponds to the calculated midpoints' intervals:
Cylinder 1
Midpoint=1.5, corresponding to the 2nd interval
A = 18, V= height * area of the base = 18*3 = 54 cc
Cylinder 2
Midpoint=4.5, corresponding to the 4th interval
A = 78, V= height * area of the base = 78*3 = 234 cc
Cylinder 3
Midpoint=7.5, corresponding to the 6th interval
A = 106, V= height * area of the base = 106*3 = 318 cc
Cylinder 4
Midpoint=10.5, corresponding to the 8th interval
A = 129, V= height * area of the base = 129*3 = 387 cc
Cylinder 5
Midpoint=13.5, corresponding to the 10th interval
A = 38, V= height * area of the base = 38*3 = 114 cc
Thus, the estimated volume is
54 + 234 + 318 + 387 + 114 = 1,107
The equation that represents a line is given by y = m x + b
Starting with the initial coordinates (0,2)
2 = m * 0 + b
b = 2
Now using the second set of coordinates (4,6)
6 = 4 m + 2
4 m = 4
m = 4 / 4
m = 1
Substituting these values into the line equation
y = x + 2
Answer is C
