Answer:
300 points
Step-by-step explanation:
Since we have a constant rate (12.5 points/game), we can find the number of points by setting up a proportion:

Answer:
Number of people who order chicken dinner = 1
Number of people who order the steak dinner = 5
Step-by-step explanation:
Let
x = number of people who order chicken dinner
y = number of people who order the steak dinner
x + y = 6 (1)
14x + 17y = 99 (2)
From (1)
x = 6 - y
Substitute into (2)
14x + 17y = 99 (2)
14(6 - y) + 17y = 99
84 - 14y + 17y = 99
- 14y + 17y = 99 - 84
3y = 15
y = 15/3
y = 5
Substitute y = 5 into (1)
x + y = 6 (1)
x + 5 = 6
x = 6 - 5
x = 1
Number of people who order chicken dinner = 1
Number of people who order the steak dinner = 5
Answer: a) 0.0792 b) 0.264
Step-by-step explanation:
Let Event D = Families own a dog .
Event C = families own a cat .
Given : Probability that families own a dog : P(D)=0.36
Probability that families own a dog also own a cat : P(C|D)=0.22
Probability that families own a cat : P(C)= 0.30
a) Formula to find conditional probability :
(1)
Similarly ,

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792
b) Again, using (2)

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264
Answer:
7.3 in
Step-by-step explanation:
Area of triangle = (1/2) *b*h
27 = (1/2) * x^2
54 = x^2
square root (54) = x
x=> 7.3484....
Rounding off to 1 decimal place, you get 7.3 in.
Once again similar traingles.
With same ratioes as before.
RS/RT = RV/RU=SV/TU = 1/2