Your teacher give you a True or false quiz with 10 questions if you randomly answer each question how many possible outcomes of selecting True and false are there

1024 outcomes

Step-by-step explanation:

Within a particular single question, we can select only 1 correct answer from 2 options. The number of ways of doing this is 2C1 and this is 2

This means for each question, there are only 2 possible outcomes. Now for 10 questions, the total number of possible outcomes would be the outcome of each of the questions multiplied by one another.

That would be (2)^10 which is 1024 outcomes

y=1/4x-4

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4