Complete Question
A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a sample of 18 adults.
a-1. How many of the 18 would we expect to indicate that the Treasury should continue making pennies
a-2) What is the standard deviation?
a-3) What is the likelihood that exactly 3 adults would indicate the Treasury should continue making pennies?
Answer:
a-1 
a-2 
a-3 
Step-by-step explanation:
From the question we are told that
The sample size is 
The proportion of adult that felt the U.S. Treasury should continue making pennies is p = 0.64
The proportion of adult that feel otherwise is
The mean is mathematically evaluated as
substituting values
The standard deviation is mathematically represented as
substituting values
The likelihood that 3 adult would indicate the Treasury should continue making pennies is mathematically evaluated as
Now
![\left n} \atop \right. C_3 = \frac{n! }{[n-3] ! 3!}](https://tex.z-dn.net/?f=%5Cleft%20%20n%7D%20%5Catop%20%20%5Cright.%20C_3%20%3D%20%20%5Cfrac%7Bn%21%20%7D%7B%5Bn-3%5D%20%21%203%21%7D)
substituting values
![\left n} \atop \right. C_3 = \frac{18! }{[15] ! 3!}](https://tex.z-dn.net/?f=%5Cleft%20%20n%7D%20%5Catop%20%20%5Cright.%20C_3%20%3D%20%20%5Cfrac%7B18%21%20%7D%7B%5B15%5D%20%21%203%21%7D)
![\left n} \atop \right. C_3 = \frac{18 * 17 * 16 * 15! }{[15] ! (3 *2 *1 )}](https://tex.z-dn.net/?f=%5Cleft%20%20n%7D%20%5Catop%20%20%5Cright.%20C_3%20%3D%20%20%5Cfrac%7B18%20%2A%2017%20%2A%2016%20%2A%2015%21%20%7D%7B%5B15%5D%20%21%20%283%20%2A2%20%2A1%20%29%7D)
So
<u>Question Correction</u>
Simon fills a container with 38 1-in, cubes. The container is a box of dimension 4 in. by 3 in. by 4 in.,How many more 1 in cubes does the container need to be completely filled?
Answer:
10 1-in cubes
Step-by-step explanation:
First, we determine the Volume of the box.
Volume of a Rectangular Prism =Length X Height X Width
Volume of the box = 4 X 3 X 4= 48 cubic inches
To fill the box container, we would need 48 1 in cubes.
Since Simon already filled the container with 38 1-in, cubes.
Number of 1-in. cubes required to fill the box
=48 -38
=10.
Simon would need 10 1-in cubes to fill the box.
Answer:
They are -1, 4 and 7.
Step-by-step explanation:
x^3 - 10x^2 + 17x + 28 = 0
Observation of this equation shows that there is an x -intercept at x = -1 because
-1^3 - 10^(-1)^2 - 17(1) + 28 = -28 + 28
= 0.
So x + 1 must be a factor so we can do the division:
x + 1 ) x^3 - 10x^2 + 17x + 28 ( x^2 - 11x + 28
x^3 + x^2
-11x^2 + 17x
-11x^2 - 11x
28x^2 + 28
x^2 - 11x + 28 = ( x - 4)(x - 7)
x = 4, 7.
G would be 3.8 and H would be 3.5
Don't forget, for a whole number like the first term, the decimal point lies just to the right of the ones column. ... To subtract these numbers, first arrange the terms vertically, aligning the decimal points in each term. You can add zeroes to the right of the decimal point, to make it easier to align the columns
