A12- sided number cube with the numbers 1 through 12 is rolled.

rounded to the nearest humdreth, the probability that the number cube lands on a number greater than 10 is

Probability is 0.17.

Step-by-step explanation:

Given : A 12- sided number cube with the numbers 1 through 12 is rolled.

To find : The probability that the number cube lands on a number greater than 10 ?

Solution :

A 12- sided number cube with the numbers 1 through 12 is rolled.

Total number of outcomes = 12

Number cube lands on a number greater than 10

Favorable outcomes(11 and 12)=2

Nearest to hundredth, Probability is 0.17.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)