Answer:
The scale factor is 1.5.
Step-by-step explanation:
Divide the length of the image, 12, by the length of the preimage, 8, which will give you 1.5
12 ÷ 8 = 1.5
Therefore, the scale factor of the image is 1.5.
Answer:
0.3758 = 37.58% probability that at most one of her first 10 arrows hits the target
Step-by-step explanation:
For each shot, there are only two possible outcomes. Either they hit the target, or they do not. The probability of a shot hitting the target is independent of any other shot, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Each arrow with a probability 0.2
This means that
First 10 arrows
This means that
What is the probability that at most one of her first 10 arrows hits the target?
This is:
So
Then
0.3758 = 37.58% probability that at most one of her first 10 arrows hits the target
Yes, as long as thy have the same variable. In this case 6r-15r would be -9r