Answer:
Step-by-step explanation:
The probability that a randomly selected cap will not be green is equal to the number of non-green caps divided by the total number of caps.
Since there are 100 caps total and 22 are green, there must be 
non-green caps.
Divide this by the total number of caps (100) to get the probability that a randomly selected cap will not be green:
Simplify by dividing both the numerator and denominator by 2:
To solve this, we simply need to break down the words and turn each part into an equation.
"Three times"
This shows that we will be multiplying 3 and something.
3*
"a number"
This shows that the number we will be multiplying 3 by is "n," which represents a number.
3*n or 3n
"plus 16"
This shows we will be adding 16 to the rest of the equation.
3n+16
Using the logic above, we can see that the equation to represent this is 3n+16.
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
Answer:
The value of test statistic is -4.1247
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $3.26 a gallon
Sample mean, 
= $3.19 a gallon
Sample size, n = 32
Sample standard deviation, σ = $0.096
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Thus, the value of test statistic is -4.1247
Practice, practice & practice.
