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
Answer: f(x) increases:(x less than or equal to sign 3)
Step-by-step explanation:
Since your equation is in vertex formula, it is more simple to find the vertex first and then go from there.
Since you have in the parenthesis (x-3) and you have the +12 on the outside, we can conclude that the vertex is (3,12) and that it is faces down because of the negative symbol in front of the vertical stretch of 3 on the outside of the parenthesis.
From there when you draw the graph it should look like an upside down U shape with the highest point being (3,12) because that that is your vertex and 12 is your max.
The axis of symmetry would be 3.
The graph would increase at x is less than or equal to 3 and x would decrease at x is greater than or equal to 3.
Answer:
4 + 9x² + 1x³ + 12x⁵
Step-by-step explanation:
3x² + 6x² = (3 + 6)x² = 9x²
4 + 3x² + 8x³ + (-7x³ + 12x⁵ +6x²) = 4 + <u>3x² + 6x² </u> + <u>8x³ - 7x³ </u> + 12x⁵
= 4 + 9x² + 1x³ + 12x⁵
Answer: 24 inches
Step-by-step explanation:
First, remember that 1 ft is equal to 12 in
Then, if 1 ft = 12 in
1 = 12in/1ft
this means that we can write a constant:
C = 12in/1 in
and C = 1, then we can write the width 2ft as:
2ft = 2ft*C = 2ft*12in/1ft = 24in
