Answer:
5.5 cups
Step-by-step explanation:
2.5 pints= 5 cups
5 cups + .5 cups= 5.5 cups (or 5 1/2 cups)
Answer:
16.05% probability of 6 job applications received in a given week.
Step-by-step explanation:
When you have the mean during an interval, you should use the Poisson distribution.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
![P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20%5Cfrac%7Be%5E%7B-%5Cmu%7D%2A%5Cmu%5E%7Bx%7D%7D%7B%28x%29%21%7D)
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Records show that the average number of job applications received per week is 5.9.
This means that ![\mu = 5.9](https://tex.z-dn.net/?f=%5Cmu%20%3D%205.9)
Find the probability of 6 job applications received in a given week.
This is P(X = 6).
![P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20%5Cfrac%7Be%5E%7B-%5Cmu%7D%2A%5Cmu%5E%7Bx%7D%7D%7B%28x%29%21%7D)
![P(X = 6) = \frac{e^{-5.9}*(5.9)^{6}}{(6)!} = 0.1605](https://tex.z-dn.net/?f=P%28X%20%3D%206%29%20%3D%20%5Cfrac%7Be%5E%7B-5.9%7D%2A%285.9%29%5E%7B6%7D%7D%7B%286%29%21%7D%20%3D%200.1605)
16.05% probability of 6 job applications received in a given week.
Listing out a few elements of the set of perfect squares, we get the following values
{1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...}
we can stop there because 82 is between 81 and 100
So if x^2 = 82, then x^2 is between 81 and 100 meaning
81 < x^2 < 100
apply the square root to all sides of the compound inequality and we get
9 < x < 10
So the square root of 81 is between 9 and 10
Answer: the value falls between 9 and 10
Step-by-step explanation:
Kindly find attached a detailed image to better understand the solution to this problem.
given that the total length of the line is 720ft
and also the line is divided into three sections
This means that the line will also be divided into three parts
720/3= 240feet so that a section will have two sides that are 240ft since the section forms a rectangular shape.
now for the other two sides
the total length of the rope is = one length size of the rectangle+ 4 width size of the rectangle
one width size of the rope is x
then 4 width size is 4x
720=length of rectangle +4x
length of rectangle= 720-4x
area of a rectangle is =length *width
area of rectangle is = (720-4x)*x
Hence the function A= (720-4x)x can be used to solve for the area of the rectangle.