The function y=-x-1 and y=1/2x +k intersect at the point (-2,1). Find the value of k

K=1.25

Step-by-step explanation:

Firstly, an intersection stated will be regarded as a solution to an equation, so it is easy for anyone to plug the x and y coordinate into a function.

You can take y=1/2x+k and add (-2,1) to the corresponding values as follows.

(1)=1/2(-2)+k

And simplify

1=1/-4+k

Subtract (-1/4) from both sides

1.25=k

If you are required to, convert 1.25 to fraction form: 1 and 1/4 OR 5/4

Fraction =  13/20

Decimal =  0.65

Percent = 65%

Step-by-step explanation:

Given:

13 out of 20 emails in mail inbox are junk emails

Solve for:

The experimental probability that next email is junk

Solution:

Step 1: Define the formula for calculating the probability

P = number of elements/total number of elements

Step 2: Perform the calculation

The number of elements (junk emails) = 13

The total number of elements (all emails) = 20

=> P(obtain odd number in experiment) in fraction form = 13/20

=> P(obtain odd number in experiment) in decimal from = 0.65

=> P(obtain odd number in experiment) in percent form = 0.65 x 100 = 65%

Hope this helps!

:)