Which is not an example of mutually exclusive events?
(a) a light switch being in the on position or being in the off position
(b) a six-sided die rolled once and rolling a 3 or rolling a 4
(c) owning a dog or owning a cat
(d) a coin flipped once landing on heads or landing on tails

A, B and D are correct options.

Step-by-step explanation:

When two events cannot occur at the same time, then the events are said to be not mutually exclusive.

The examples are:

(A) a light switch being in the on position or being in the off position. It can either be on or off, but not both.

(B) a six-sided die rolled once and rolling a 3 or rolling a 4. It can either be 3 or 4 but not both.

(D) a coin flipped once landing on heads or landing on tails. It can either be a heads or a tails but not both.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

a

step-by-step explanation: