Given:
The function f(x) describes the amount of money, in dollars, the club will earn for wrapping x presents.

To find:
The f(658).
Solution:
We have,

Substitute x=658 to find the value of f(658).


It means, the club will earn $1974 for wrapping 658 presents.
Therefore,
.
Answer:
The required hypothesis to test is
and
.
Step-by-step explanation:
Consider the provided information.
It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.
She would now like to determine whether or not the mean age of her customers is over 30.
Null hypotheses is represents as
. Thus the null hypotheses is shown as:

The alternative hypotheses is represents as
. Thus the alternative hypotheses is shown as:

Hence, the required hypothesis to test is
and
.
Answer:
Its the bottom-right one
Step-by-step explanation:
Have a good day
Kate can travel 41.33 miles without exceeding her limit. This problem can be solved by using y = 2.25x + 7 linear equation with the "y" variable as the total cost that Kate must pay after she has traveled with the cab and the "x" variable as Kate's traveling distance. The equation has 7 for its constant value which is the $7 flat rate. We will find 41.33 miles as the traveling distance if we substituted the total cost with 100, which is the maximum amount that can be paid by Kate for the traveling purpose.
The coordinates of all the vertices:
A = (-7,5)
B = (-5,8)
C = (-2,4)