Answer:
-3
and
18.8%
Step-by-step explanation:
There are two ways to check this, the first one and the simplest one is to refer to the line equation:
y(x)=mx+b
This is really useful because it gives you two things immediately: the slope and the point in which the line intersects with the y-axis. The number that multiplies x is the slope, in this case, -3, and the number in the b position is the point of intersection with the y-axis, in this case, 2.
You can also use the equation for calculating the slope or m:
[tex]m=\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
But what are y1, y2, x1 and x2?
For that, take 2 aleatory values for x, the easiest ones are always 0 and 1.
so x1=0, x2=1. Let's then evaluate the equation at those points:
y1(x1=0)=-3*(0)+2=2, so y1=2
and y2(x2=1)=-3(1)+2=-1
Going back to the formula for m with these values:
[tex]m=\frac{-1-2)}{1-0}[/tex]
m=-3
For the question in the image, you show a two-way table, in there we pick the line of the Students who dislike sandwiches, so we know which total to use, in this case, 32, because that is the number of students who do not like sandwiches, from those we check the number of students who also dislike pies, meaning 6.
The probability that if we select a random student that we know, dislikes sandwiches, will also dislike pies is:
[tex]\frac{6}{32} = 0.1875[/tex]≅0.188 or 18.8%
