Abored statistician begins to flip a coin. he flips the coin 5 times and records the proportion of heads. then he flips the coin 15 times and records the proportion of heads. then he flips the coin 30 times and records the number of heads. he begins to see a trend, the more times he flips the coin, the closer he gets to 0.5 heads. this is an example of:

Hello!

This is an example of experimental probability.

Experimental probability is data collected while doing an experiment. If you have lots of trials, the experimental probability will be very close to the theoretical probability, which is the probability based off of the numbers. So, it is a 50 50 chance of getting a heads, so the theoretical probability is 0.5. The experimental probability, after many experiments, would also come close to 0.5.

I hope this helps!

step-by-step explanation:

if x = 2 you have to find x to finish the problem

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .