Answer: 5
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Answer:
And we can find this probability using the normal standard table or excel:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount of ml of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel:
The first thing we must do for this case is to find the diameter of the circle.
We have then:
d = 2 * r
Where,
r: radius
Substituting:
d = 2 * (3.25)
d = 6.5 feet
We now look for the perimeter of the square.
P = 4L
Where,
L: square side
L = d = 6.5 feet ("a circular spa that will be enclosed by a square deck")
Substituting we have:
P = 4 * (6.5)
P = 26 feet
Answer:
The perimeter of the deck, in feet is:
P = 26 feet
-4 because when you did use 12 divided by 3 you get four but this is negative so you get a negative answer