During the second day of the school fair, Talia and Yoshi recorded 43 winners out of a total of 324 players. How does the actual number of winners compare to the expected number of winners? Theorical probability

P ( red ) = 1/8 = 12.5%

Experimental probability

( ? )/324 = ( ? )%

This experimental probability is ( ? ) than the theoretical probability.

There were ( ? ) winners than expected.

The experimental probability is 0.8% more than the theretical probability,

There were approximately 2 more winners than expected

Step-by-step explanation:

Theoretical Probability is given by = 1/8 = 12.5%

Which means that out of 324 players, numbers of winners theoretically are = 0.125 · 324 = 40.5 ≅ 41

To find the probability of experimental data, we have to consider the data recorded by Talia and Yoshi

Recorded winners = 43

Total players = 324

Experimental Probability =  Numbers of winners/ Total Number of players · 100

Experimental Probability = 43/321 · 100 = 13.3%

The difference between Experimental and Theoretical Probability is = 13.3% - 12.5% = 0.8%

Difference of Winners ≅ 43 - 40.5 ≅ 2

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3