Answer:
3h
Step-by-step explanation:
let time be x
total distance = 450
75x+75x=450
150x=450
x=3h
Answer:
![y(x) = 0.0732x + 17.32](https://tex.z-dn.net/?f=y%28x%29%20%3D%200.0732x%20%2B%2017.32)
Step-by-step explanation:
The equation for the monthly charge has the following format
![y(x) = ax + b](https://tex.z-dn.net/?f=y%28x%29%20%3D%20ax%20%2B%20b)
In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.
Base charge of $17.32 per month.
This means that ![b = 17.32](https://tex.z-dn.net/?f=b%20%3D%2017.32)
charge of 7.32 cents per kilowatt-hour
Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is ![a = 0.0732](https://tex.z-dn.net/?f=a%20%3D%200.0732)
Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.
![y(x) = ax + b](https://tex.z-dn.net/?f=y%28x%29%20%3D%20ax%20%2B%20b)
![y(x) = 0.0732x + 17.32](https://tex.z-dn.net/?f=y%28x%29%20%3D%200.0732x%20%2B%2017.32)
Answer:
![\begin{array}{cccc}{Scores} & {f} & {LB} &{CF} & {39-41} & {6} & {39} &{6} & {36-38} & {7} & {36} &{13}& {33-35} & {9} &{33}&{22}& {30-32} & {13}&{30} &{35} & {27-29} & {22} &{27}&{57} & {24-26} & {10} &{24}&{67} & {21-23} & {9} &{21} &{76}& {18-20} & {7} &{18}&{83}& {15-17} & {8} &{15}&{91}& {12-14} & {4} &{12}&{95}& {9-11} & {2} &{9}&{97}& {6-8} & {1} &{6}& {98}&{3-5} & {1} &{3}&{99} \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%7BScores%7D%20%26%20%7Bf%7D%20%26%20%7BLB%7D%20%26%7BCF%7D%20%26%20%7B39-41%7D%20%26%20%7B6%7D%20%26%20%7B39%7D%20%26%7B6%7D%20%20%26%20%7B36-38%7D%20%26%20%7B7%7D%20%26%20%7B36%7D%20%26%7B13%7D%26%20%7B33-35%7D%20%26%20%7B9%7D%20%20%26%7B33%7D%26%7B22%7D%26%20%7B30-32%7D%20%26%20%7B13%7D%26%7B30%7D%20%26%7B35%7D%20%26%20%7B27-29%7D%20%26%20%7B22%7D%20%26%7B27%7D%26%7B57%7D%20%26%20%7B24-26%7D%20%26%20%7B10%7D%20%26%7B24%7D%26%7B67%7D%20%26%20%7B21-23%7D%20%26%20%7B9%7D%20%26%7B21%7D%20%26%7B76%7D%26%20%7B18-20%7D%20%26%20%7B7%7D%20%26%7B18%7D%26%7B83%7D%26%20%7B15-17%7D%20%26%20%7B8%7D%20%26%7B15%7D%26%7B91%7D%26%20%7B12-14%7D%20%26%20%7B4%7D%20%26%7B12%7D%26%7B95%7D%26%20%7B9-11%7D%20%26%20%7B2%7D%20%26%7B9%7D%26%7B97%7D%26%20%7B6-8%7D%20%26%20%7B1%7D%20%26%7B6%7D%26%20%7B98%7D%26%7B3-5%7D%20%26%20%7B1%7D%20%26%7B3%7D%26%7B99%7D%20%5C%20%5Cend%7Barray%7D)
Step-by-step explanation:
Given
See attachment for complete question
Required
Fill in the blanks
First, we fill in the lower boundary (LB).
This is done by writing out the lower boundary of each class
So, we have:
![\begin{array}{ccc}{Scores} & {f} & {LB} & {39-41} & {6} & {39} & {36-38} & {7} & {36} & {33-35} & {9} &{33}& {30-32} & {13} &{30}& {27-29} & {22} &{27}& {24-26} & {10} &{24}& {21-23} & {9} &{21}& {18-20} & {7} &{18}& {15-17} & {8} &{15}& {12-14} & {4} &{12}& {9-11} & {2} &{9}& {6-8} & {1} &{6}& {3-5} & {1} &{3} \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccc%7D%7BScores%7D%20%26%20%7Bf%7D%20%26%20%7BLB%7D%20%26%20%7B39-41%7D%20%26%20%7B6%7D%20%26%20%7B39%7D%20%20%26%20%7B36-38%7D%20%26%20%7B7%7D%20%26%20%7B36%7D%20%26%20%7B33-35%7D%20%26%20%7B9%7D%20%26%7B33%7D%26%20%7B30-32%7D%20%26%20%7B13%7D%20%26%7B30%7D%26%20%7B27-29%7D%20%26%20%7B22%7D%20%26%7B27%7D%26%20%7B24-26%7D%20%26%20%7B10%7D%20%26%7B24%7D%26%20%7B21-23%7D%20%26%20%7B9%7D%20%26%7B21%7D%26%20%7B18-20%7D%20%26%20%7B7%7D%20%26%7B18%7D%26%20%7B15-17%7D%20%26%20%7B8%7D%20%26%7B15%7D%26%20%7B12-14%7D%20%26%20%7B4%7D%20%26%7B12%7D%26%20%7B9-11%7D%20%26%20%7B2%7D%20%26%7B9%7D%26%20%7B6-8%7D%20%26%20%7B1%7D%20%26%7B6%7D%26%20%7B3-5%7D%20%26%20%7B1%7D%20%26%7B3%7D%20%5C%20%5Cend%7Barray%7D)
Next, is to fill the CF column
This is done by adding the current with the previous cumulative frequency.
So, we have:
![\begin{array}{cccc}{Scores} & {f} & {LB} &{CF} & {39-41} & {6} & {39} &{6} & {36-38} & {7} & {36} &{6 + 7 = 13}& {33-35} & {9} &{33}&{13+9 = 22}& {30-32} & {13}&{30} &{22+13=35} & {27-29} & {22} &{27}&{35+22=57} & {24-26} & {10} &{24}&{57+10=67} & {21-23} & {9} &{21} &{67+9=76}& {18-20} & {7} &{18}&{76+7=83}& {15-17} & {8} &{15}&{83+8=91}& {12-14} & {4} &{12}&{91+4=95}& {9-11} & {2} &{9}&{95+2=97}& {6-8} & {1} &{6}& {97+1=98}&{3-5} & {1} &{3}&{98+1=99} \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%7BScores%7D%20%26%20%7Bf%7D%20%26%20%7BLB%7D%20%26%7BCF%7D%20%26%20%7B39-41%7D%20%26%20%7B6%7D%20%26%20%7B39%7D%20%26%7B6%7D%20%20%26%20%7B36-38%7D%20%26%20%7B7%7D%20%26%20%7B36%7D%20%26%7B6%20%2B%207%20%3D%2013%7D%26%20%7B33-35%7D%20%26%20%7B9%7D%20%20%26%7B33%7D%26%7B13%2B9%20%3D%2022%7D%26%20%7B30-32%7D%20%26%20%7B13%7D%26%7B30%7D%20%26%7B22%2B13%3D35%7D%20%26%20%7B27-29%7D%20%26%20%7B22%7D%20%26%7B27%7D%26%7B35%2B22%3D57%7D%20%26%20%7B24-26%7D%20%26%20%7B10%7D%20%26%7B24%7D%26%7B57%2B10%3D67%7D%20%26%20%7B21-23%7D%20%26%20%7B9%7D%20%26%7B21%7D%20%26%7B67%2B9%3D76%7D%26%20%7B18-20%7D%20%26%20%7B7%7D%20%26%7B18%7D%26%7B76%2B7%3D83%7D%26%20%7B15-17%7D%20%26%20%7B8%7D%20%26%7B15%7D%26%7B83%2B8%3D91%7D%26%20%7B12-14%7D%20%26%20%7B4%7D%20%26%7B12%7D%26%7B91%2B4%3D95%7D%26%20%7B9-11%7D%20%26%20%7B2%7D%20%26%7B9%7D%26%7B95%2B2%3D97%7D%26%20%7B6-8%7D%20%26%20%7B1%7D%20%26%7B6%7D%26%20%7B97%2B1%3D98%7D%26%7B3-5%7D%20%26%20%7B1%7D%20%26%7B3%7D%26%7B98%2B1%3D99%7D%20%5C%20%5Cend%7Barray%7D)
Step-by-step explanation:
¹1litre =100cl
5 litres =500cl
0.66cl=y
cross multiply
500÷0.66 =7