Answer:
7) Mean = 48 8) Mean = 59.6 9) Mean = 31.6 10) Mean = 42.1
Median = 47.5 Median = 61 Median = 32 Median = 40
Mode = 72 Mode = 90 Mode = 46 Mode = 51
Range = 66 Range = 79 Range = 34 Range = 51
Step-by-step explanation:
If the amount of time taken to go said distance is x and the amount of time taken to go back said distance is y, then the amount of miles total is 7x+3y due to that for every hour, she adds 7 miles when going there and 3 miles for walking back. In addition, since the total amount of time is 4 hours, x+y=4 as the total time spent as well as 7x=3y due to that they're the same distance.
x+y=4
7x=3y
Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back
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Since it’s supplementary the straight line would equal to 180 degrees
4d - 1 + 105 = 180
4d + 104 = 180
4d = 76
d = 19