Answer:
r = 

Is this a live test question or a homework question?
Step-by-step explanation:
the radius is the distance between (3, 2) and (5, -2)
= 
= 
= 4 + 16 = 20
r = 
Equation of circle: 
Answer:
17.5%
Step-by-step explanation:
First of all, see this situation as a cumulative binomial distribution. You have isolated trials with a probability of success. This makes it binomial. The wording of the question "what is the probability of at least half..." makes this cumulative.
There are a few ways to calculate this, and I'm not quite sure which way you're familiar with. I'll show the cumbersome way and use wolfram to make the calculation.
First, I'll calculate the probability for 15 success, given 30 trials.
30c15*0.4^15*0.6^15
Since the question asks for the probability of at least 15 success, I'll have to make a calculation for the probability of 16 successes, then 17, and so on. Then I'll have to add all the probabilities together. So, I'll use wolfram for that (see attached)
Answer:
26 customers
Step-by-step explanation:
Represent customers entering as y and those buying hot dogs as x


Required
Determine the number of people buying hotdogs (x)
Substitute 4x + 9 for y in the second equation

Collect Like Terms

