Every day, Navya's teacher randomly picks a number from 1 to 20 to be the number of the day. The number of the day can be repeated. There are 180 days in the school year. Predict how many days the number of the day will be greater than 5.

Around 135 days

Step-by-step explanation:

The number is randomly chosen, and we have numbers from 1 to 20, so each number has a 1/20 probability of being chosen.

The numbers that are greater than 5, are the numbers from 6 to 20, so we have 15 options that are greater than 5.

Then the probability of choosing a number that is greater than 5 (for each day) is equal to 15/20.

p = 15/20 = 0.75

So we expect that in a 0.75 of the 180 days a number bigger than 5 is chosen, this is:

0.75*180 = 135 days

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0