Answer:
9.
Step-by-step explanation:
We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.
First of all we will convert dimensions of poster from feet to inches.

Now let us compare sides of our original photo with corresponding sides of poster.
Now let us compare the second pair of corresponding sides.

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.
Answer:
4
Step-by-step explanation:
Answer:
a). 0.294
b) 0.11
Step-by-step explanation:
From the given information:
the probability of the low risk = 0.60
the probability of the high risk = 0.40
let
represent no claim
let
represent 1 claim
let
represent 2 claim :
For low risk;
so,
= (0.80 * 0.60 = 0.48),
= (0.15* 0.60=0.09),
= (0.05 * 0.60=0.03)
For high risk:
= (0.50 * 0.40 = 0.2),
= (0.30 * 0.40 = 0.12) ,
= ( 0.20 * 0.40 = 0.08)
Therefore:
a), the probability that a randomly selected policyholder is high-risk and filed no claims can be computed as:




b) What is the probability that a randomly selected policyholder filed two claims?
the probability that a randomly selected policyholder be filled with two claims = 0.03 + 0.08
= 0.11
X+y=30
2x-3y=5
y=30-x
2x-3(30-x)=30
2x-90+3x=30
5x=120
x=24
y=30-x
y=30-24
y=6
The positive difference between the two numbers is 18.