midpoint= (x, y)
where x=(x1 + x2)/2
y=(y1 + y2)/2
x1=-3, x2=6, y1=5, y2=-11
so x=(-3 + 6)/2= 3/2
y=(5 + -11)/2= (5-11)/2= -6/2= -3
so mid point =(3/2, -3)
hope this helps
Answer:
2.2050
Step-by-step explanation:
25% -> 2500.
25% is just a way of saying 25 out of 100. So we have to times 25 by 100 which gets you 2500. You the have to multiply 2500 by 8.82 which will get you 22050. Now the price is reduced by 25% so the answer will be less than 8. You have to add a decimal somewhere in the number 22050 and it has to be less than 8. You could but it after the second 2 but then it will be over 8. So the only spot you can put it is after the first 2 like this 2. so the answer will be 2.2050
Complete question :
Mulder and Scully are driving to the same town. Mulder leaves the office at 9:30 a.m. averaging 51 mph. Scully leaves at 10:00 a.m., following the same path and averaging 57 mph. At what time will Scully catch up with Mulder?
Answer:
2:15 p.m
Step-by-step explanation:
Given the following :
Mulder :
Speed = 51mph
Time he left office = 9:30 a.m
Scully :
Speed = 57mph
Time she left office = 10:00 a.m
Time difference = (10:00 - 9:30)a.m = 30 minutes = half an hour = 0.5 hour
Let Scully's travel time when she catches up = s
Therefore, Mulder's time at the same moment = (s + 0.5)
Recall:
distance = speed × time
Hence,
Scully's distance : 57 * s = 57s
Mulder's distance : 51 * (s + 0.5)
Equating both :
57s = 51(s + 0.5)
57s = 51s + 25.5
57s - 51s = 25.5
6s = 25.5
s = 25.5 / 6
s = 4.25 hours
Hence scully will catch up with Mulder after 4.25 hours
10:00am + 4.25 hours = 2:15p.m
Answer:
0.68 : 0.32
Step-by-step explanation:
the probability of all the outcomes of an event is always 1 .
if P(E) = 0.32,
P(E') = 1 - 0.32
= 0.68
N.B that P(E') is the same as P( not E ).
since your answer should be given in the ratio form, as the odds against E ( probability not E : probability E),
P(E') : P(E)
0.68 : 0.32
hope this helps you!
-s.