46% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
(a) P(5)=(Round to three decimal places as needed.)
The

A.

B. Point Slope Form: and Slope-Intercept Form:

C. Independent

D.

Step-by-step explanation:

Given 2 points on Sidewalk 1: and .

Given 2 points on Sidewalk 2: and

Where,

m is the slope, and [NOTE: is point 1 and is point 2]

b is the y-intercept [point where the line crosses the y-axis]

Where,

m is the slope, and

is point 1

A.

Slope-Intercept from is given by

Finding m using formula above gives us:

Plugging in any one point, let us substitute , in x and y respectively gives us value of b:

Now we can write:

B.

Solving for m for sidewalk 2 using points above and slope formula, we get:

Point-Slope form using formula above:

Rearranging this in slope-intercept form, we have:

C.

2 lines DOES NOT have any solution when:

1. They are the same line [coefficients of one line are multiple of coefficient of another line ]

2. They are parallel [ when slope of one line is equal to slope of another line ]

Here, none of these occurs, so we HAVE a solution.

Hence, the system of equations are said to be INDEPENDENT.

D.

Since, the 2 equations have a solution [they have an intersection point], let's solve for the intersecting point.

We have the equations and

We set both of them equal [y=y] and solve for x:

Now substitute this value of x into either equation to get y. Let's do it on equation 1:

So, point of intersection is