Answer:

And we can find this probability with the complement rule:

Step-by-step explanation:
For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

And for this case the probability density function is given by:

And the cumulative distribution function is given by:

And we want to find this probability:

And we can find this probability with the complement rule:

So first let’s put g(f(x)) together by putting f(x) for every x in g(x)
We get g(f(x))=3(3/4x+3)+4 which is the selling price equation
Then you plug in 20 to find the selling price for 20 muffins.
g(f(x))=3(3/4(20)+3)+4
g(f(x))=3(60/4+3)+4
g(f(x))=3(18)+4
g(f(x))=54+4
g(f(x))=58
So the selling price will be $58 for 20 muffins.
It might be step 4 where it got dropped by step 3
ANSWER
The linear equation is: y = 80x + 65
Te cost for 40 football jerseys: $3265
EXPLANATION
Let 'x' be the number of jerseys and 'y' the cost of x jerseys.
Each jersey costs $80, so the cost of x jerseys is 80x. There's also an extra fee for procesing of $65, which is the same no matter how many jerseys they buy.
Therefore, the cost 'y' of x jerseys is:

Now we want to know the cost of 40 football jerseys, so we just have to replace x by 40 and solve:
To be able to quickly solve this, we can temporarily make 5.47 into 547
Now, we can divide 547 by 12.

Now, we can round up from 45.5 to get 46.
However, we originally moved our decimal 2 places over, so now we must move it 2 places again.
46 ⇒ 0.46
The correct answer is $0.46