Answer:

Step-by-step explanation:

Step-by-step explanation:
Given function is,

Where,
y = amount paid to the gym in dollars
x = number of months
So when x = 0, y =55(0)+80 = 80
i.e when number of months is 0, you have to pay a fee of $80.
This is the one time fee to open a membership.
After that for each month you have to pay $55 for each months.
So 55 is multiplied with x.
Answer:
The probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Step-by-step explanation:
Let <em>X</em> = time between calls made to Amazon's customer service.
The average time between calls is, <em>β</em> = 10 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter 
The probability distribution function of <em>X</em> is:

Compute the probability that the time between the next two calls is between 3 minutes and 7 minutes as follows:

Thus, the probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Answer:
45 square units
Step-by-step explanation:
You can cut the yellow figure into a triangle (4 by 5) and a rectangle (7 by 5).
Using the formula
and
area formulas, we get:

The area shaded in yellow is 45 square units