If you draw a card from a deck numbered 1 through 10 and toss a die, find the probability of choosing an even number card and a 3 on the dice.

10/15 or a 66.67%

Step-by-step explanation:

For the cards, There are 10 cards so there is a 5/10 probability that you will get an even cars. For the dice, there are only six sides so there is a 1/6 chance that you will roll a 3. You would then add the probabilities.Before you can add, you will find the greatest common denominator. This would be 30. What you do to the denominator you do to the numerator so the new fractions would be 5/30 and 15/30. Adding will give you 20 over 30 which can be simplified to 10/15. Then find the percent.

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.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18