Find the probability of this event. Enter the answer as a fraction in simplest form, as a decimal, and as a percent.

You choose a marble at random from a bag containing 12 red, 14 blue, 10 green, 7 yellow, and 17 black marbles.

The marble is red.

The probability expressed as a fraction is:___
The probability expressed as a decimal is:___
The probability expressed as a percent is:___

The probability expressed as a fraction is: 1/5

The probability expressed as a decimal is: 0.2

The probability expressed as a percent is: 20%

Step-by-step explanation:

Probability is the likelihood or chance that am event will occur.

Probability = EXPECTED OUTCOME/TOTAL OUTCOME

If a bag contains 12 red, 14 blue, 10 green, 7 yellow, and 17 black marbles, the total number of marbles will be the TOTAL OUTCOME.

TOTAL OUTCOME = 12+14+10+7+17

TOTAL OUTCOME = 60

If the marble chosen at random is red, the total number of marbles will be our EXPECTED OUTCOME.

EXPECTED OUTCOME = 12

Probability of choosing red = 12/60

= 1/5 (as fraction)

Probability expressed as decimal = 0.2

Probability expressed as percent will be 1/5×100% = 20%

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )