F(x) = x/2
g(x) = x - 3
f(8) = 8/2 = 4
g(f(x)) = 4 - 3 = 1
Answer g(f(8)) = 1
Answer:
a) 0.75
b)5.05
c)0.02
Step-by-step explanation:
a)
P(Y>5)=?
This part is solved in the given picture.
b)
The mean of a uniform distribution is (a+b)/2.
Where a=4.95 , b=5.15.
E(Y)=(4.95+5.15)/2
E(Y)=10.1/2
E(Y)=5.05.
c)
The variance of a uniform distribution is (b-a)²/2.
V(Y)=(5.15-4.95)²/2
V(Y)=0.2²/2
V(Y)=0.04/2
V(Y)=0.02.
Midpoint formula:

1. Point 1 (-2,2)
Point 2 (4,-1)
Midpoint: (-2+4/2, 2-1/2)
(2/2, 1/2)
(1, 1/2)
2. Point 1 (-3,-5)
Point 2 (2, 5)
Midpoint: (-3+2/2, -5+5/2)
(-1/2, 0)
Distance between two points formula:

1. Point 1 (-2, 2)
Point 2 (4, -1)





2. Point 1 (1, 2)
Point 2 (4, 7)




Answer:
12:05 PM
Step-by-step explanation:
Priya started at 9:00 AM.
Speed of Priya = 6 km/hr
Joe started at 9:30 AM.
Time at which Joe overtakes Priya = 10:20 AM
Total time taken by Priya = 1 hour 20 min = 
Total time taken by Joe = 50 min = 
Distance traveled by Priya and Joe is same.
Formula for distance is:

Distance covered by Priya =
km
Let speed of Joe =
km/h
Distance covered by Joe = 

Total distance to be covered = 16.8 km
Total time to be taken by Joe =

1.75 hours mean 1 hour and 45 minutes.
Finishing time at which Joe finishes = 9:30 AM + 1 hour 45 minutes = <em>12:05 PM</em>
Answer:
B
Step-by-step explanation:
because -16+(-9) is essentially the same thing because you're adding the -9 to the -16