Answer: 60
Step-by-step explanation:
From the question, we are informed that pencils come in packages of 10 while erasers come in package of 12 .
We are further told that Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil, this simply means that we have to calculate the lowest common multiple for 10 and 12.
Multiples of 10 = 10, 20, 30, 40, 50, 60,
Multiples of 12 = 12, 24, 36, 48, 60, 72
Therefore, the packages of pencils and erasers that Phillip should buy will be 60
Given :
Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.
After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.
To Find :
The number of each general admission tickets sold.
Solution :
Let, general admission are x.
So, Reserved seat tickets will be 1787 - x.
Now, total amount T = 3x + 4( 1787 - x )
T = $5792
3x + 4( 1787 - x ) = $5792
-x + 7148 = 5792
x = 1356
Therefore, the number of each general admission tickets sold are 1356.
Hence, this is the required solution.
Answer:
The standard deviation is used in conjunction with the mean to numerically describe distributions that are bell shaped. The mean measures the center of the distribution, while the standard deviation measures the spread of the distribution.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by

The mean is the average value of the measures while the standard deviation measures how spread the measures are from the mean. So
The standard deviation is used in conjunction with the mean to numerically describe distributions that are bell shaped. The mean measures the center of the distribution, while the standard deviation measures the spread of the distribution.
Critical points is where the derivative (slope) is zero or does not exist. So to do this we have to find the derivative of our function:

So we apply chain rule:
=

Set our first derivative to zero and solve for x:
3(x^2 - 1) * 2x = 0
So we can see that (by plugging in) 0, -1 and 1 makes our solution true
So our critical value is x = 0, x = -1, x = 1
Answer:
83%
Step-by-step explanation:
you take 210 - 35 over 210 which is 170 over 210 divide and you get rounded about .83 that as a percent is 83%