Problem 1 (on the left)
It appears we have an exponential function curve through the points (0,4) and (1,7)
The general exponential function is of the form
y = a*b^x
The value of 'a' is the y intercept or initial value. So a = 4
Plug in (x,y) = (1,7) to help solve for b
y = a*b^x
y = 4*b^x
7 = 4*b^1
7 = 4b
b = 7/4 = 1.75
Therefore, the function is y = 4*(1.75)^x
- Plug in x = 0 and you should get y = 4.
- Plug in x = 1 and you should get y = 7
These two facts help confirm we have the correct exponential equation.
<h3>Answer: y = 4*(1.75)^x</h3>
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Problem 2 (on the right)
The steps will follow the same idea as the previous question.
The exponential curve goes through (-1, 120) and (0,40)
We have a = 40 this time due to the y intercept (0,40)
Plug in the coordinates of the other point to find b
y = a*b^x
y = 40*b^x
120 = 40*b^(-1)
120 = 40/b
120b = 40
b = 40/120
b = 1/3
<h3>Answer: y = 40*(1/3)^x</h3>
Answer:
The expected number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli is 3.3
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are of Hawaiian ancestry, or they are not. The probability of a person being of Hawaiian ancestry is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution:
The expected number of trials to find r sucesses, with p propability, is given by:

30% of the residents are of Hawaiian ancestry.
This means that 
What is the expected number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli?
This is E when r = 1. So

The expected number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli is 3.3
The answer is 72 is you need me to explain I’d be glad to help.
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