Answer:

Step-by-step explanation:
Given

Required
Which of the points does it pass through
To do this, we simply substitute the values of x and y in the above equation.
So, we have:



Solve each bracket



The above equation is true,
<em>Hence, it passed through </em>
)
<em>We do not need to check for others</em>
Answer:
choce 3
Step-by-step explanation:
you can add n = 1,2,3,4 ....
you will receive the values as 1, 1/2, 1/4, 1/7
........
a⁰ = 1
5⁰ = 1
Found this when I was doing my own work, hope this helps.
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:
Perpendicular
Step-by-step explanation:
Remember that:
- Two lines are parallel if their slopes are the same.
- Two lines are perpendicular is their slopes are negative reciprocals.
- And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.
So, let's find the slope of QR and ST.
QR)
We can use the slope formula:

Let Q(-6, 11) be (x₁, y₁) and R(2, -1) be (x₂, y₂). Substitute:

Subtract:

So, the slope of QR is -3/2.
ST)
Let S(-4, 8) be (x₁, y₁) and T(-1, 10) be (x₂, y₂). Substitute:

Subtract:

So, the slope of ST is 2/3.
The negative reciprocal of -3/2 is 2/3.
And the negative reciprocal of 2/3 is -3/2.
So, the slopes are indeed negative reciprocals of each other.
So, QR and ST are perpendicular.