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
A relative frequency table is a graph that depicts the popularity or pattern of a certain piece of data based on the population sampled. The value of x will be 85.
<h3>What is a relative frequency table?</h3>
A relative frequency table is a graph that depicts the popularity or pattern of a certain piece of data based on the population sampled.
When we examine the relative frequency, we examine the number of times a certain event happens in comparison to the overall number of events.
We have the following equation for the adult column;
Hence the value of x will be 85.
To learn more about the relative frequency table refer to the link;
brainly.com/question/1809498
Given that the equation of the line is:
y=-18x-2
the equation is in the form of y=mx+c, where m is the slope. Thus the slope of equation is -18. The line perpendicular to this equation has a slope of 1/18, hence the equation will be given by the formula:
m(x-x1)=y-y1
given that the line passes through point (-2,-3) the equation of the line will be:
1/18(x--2)=y-(-3)
1/18(x+2)=y+3
simplifying this gives us:
y=1/18x+1/9+3
y=1/18x6+3 1/9
Answer:
11 nights
Step-by-step explanation:
Our total budget: $137
First, let's deduct the cost to enter the park.
137 - 5 = 132
We have $132 to spend on the hotel.
Since the cost is $12 per night, we need to find out how many times $12 can go into $132. This is done using division.
132 / 12 = 11
As we can see, we can pay $12 eleven times until our money runs out.
Thus, we can stay at the camp for 11 nights!
Answer: 11 nights
