Answer:
P[X=3,Y=3] = 0.0416
Step-by-step explanation:
Solution:
- X is the RV denoting the no. of customers in line.
- Y is the sum of Customers C.
- Where no. of Customers C's to be summed is equal to the X value.
- Since both events are independent we have:
P[X=3,Y=3] = P[X=3]*P[Y=3/X=3]
P[X=3].P[Y=3/X=3] = P[X=3]*P[C1+C2+C3=3/X=3]
P[X=3]*P[C1+C2+C3=3/X=3] = P[X=3]*P[C1=1,C2=1,C3=1]
P[X=3]*P[C1=1,C2=1,C3=1] = P[X=3]*(P[C=1]^3)
- Thus, we have:
P[X=3,Y=3] = P[X=3]*(P[C=1]^3) = 0.25*(0.55)^3
P[X=3,Y=3] = 0.0416
For problem 2:
The answer would be B) Car A travels more miles per gallon of fuel than Car B.
This is because Car B is shown on the graph to travel the same number of miles as Car A using 16 gallons of fuel, while Car A uses only 4 gallons. Thus, Car A travels further with less fuel.
For problem 3:
Let's write out the equation and try to solve.
5x + 1 = 3x + 7
First, subtract 3x from both sides.
5x - 3x + 1 = 3x - 3x + 7
2x + 1 = 7
Now, subtract one from both sides.
2x + 1 - 1 = 7 - 1
2x = 6
Finally, divide both sides by 2.
2x/2 = 6/2
x = 3
You should only get B) One solution
Hope that helped!
Answer:
1 cm^2 = 100 mm^2
9 cm^2 = 900 mm^2
5.2 cm^2 = 520 mm^2
1 dm^2 = 100 cm^2
17 dm^2 = 1700 cm^2
4.3 dm^2 = 430 cm^2
1 m^2 = 10000 cm^2
7 m^2 = 70000 cm^2
2.5 m^2 = 25000 cm^2
1 km^2 = 1000000 m^2
50 km^2 = 50000000 m^2
8.5 km^2 = 8500000 m^2
Step-by-step explanation:
1 cm = 10 mm
1
= 10×10
= 100
9
= 9×100
= 900 
5.2
= 5.20×100
= 520 
1 dm = 10 cm
1
= 10×10
= 100 
17
= 17× 100
= 1700 
4.3
= 4.3 × 100
= 430 
1 m = 100 cm
1
= 100×100
= 10000 
7
= 7×10000
= 70000 
2.5
= 2.5×10000
= 25000 
1 km = 1000 m
1
= 1000×1000
= 1000000 
50
= 50×1000000
= 50000000 
8.5
= 8.5×1000000
= 8500000 
Answer:
y = 5x - 4
for the x values..
y = -4
y = 1
y = 6
Step-by-step explanation:
Jeremy's youngest sister is 12 Jeremy's older sister is 21 and Jeremy is 16.