Answer:
The rate of descent is
Step-by-step explanation:
we know that
The formula to calculate the rate or slope between two points is equal to
Let
x------> the time in minutes
y----> the elevation in feet
we have
Substitute the values
Answer:
(x-5)^2+(y+4)^2=100
Step-by-step explanation:
As we know the given points
Center = (5, -4)
and
Point on circle = (-3,2)
The distance between point on circle and center will give us the radius of circle
So,
The formula for distance is:

The standard form of equation of circle is:

where h and k are the coordinates of the center. So putting in the value:

Answer:
4.27%
Step-by-step explanation:
We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.
We will use z-score formula to solve our given problem.

z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.




Now, we need to find
.
Using formula
, we will get:

Using normal distribution table, we will get:



Therefore, 4.27% of college students sleep for more than 9.6 hours.