. What is P(3, then 3) when spinning the spinner shown at the right twice? A. 14 B.116 C. 156 D. 164

Question Correction

The spinner shown is divided into 8 equal sections labeled 0 to 7. What is P(3, then 3) when spinning the spinner shown at the right twice?

A. 1/4 B.1/16 C. 1/56 D. 1/64

Step-by-step explanation:

Number of Sections on the Spinner =8

Probability of Spinning a 3,

Therefore:

The correct option is D.

Remark:  In option C, we have , however, the outcome of the first spin does not affect the outcome of the second spin, therefore this option is wrong.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

h= 12 inches

step-by-step explanation: