You and your mom are entering a drawing with three different prizes. the prizes are awarded at random. if a total of 8 people enter the drawing in how many ways can you win first prize and your mom win second

The number of ways can you win first prize and your mom win second is   1/56 ways.

Step-by-step explanation:

Total number of  people entered the contest= 8  people

Total number of prices awarded=3  prizes

Therefore the total number of ways in which 3 prizes can be awarded  = 8*7*6 = 336 ways

The number of ways  in which you can win  first prize and your monm can win the second prize is =1*1*6 = 6 ways  

So,by probability  to find the ways with which you can win the first prize and mom can win the second prize can be calculated as = 6/336 = 1/56

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

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step-by-step explanation: