Aspecial roulette wheel, which has an equal number of red and black spots, has come up red four times in a row. assuming the roulette wheel is fair, what concept allows a player to know that the probability of the next spin of the wheel will come up black is 0.5? choose the correct answer below. a. dependent events b. mutually exclusive events

The correct answer is option B.

Step-by-step explanation:

The basic reasoning indicates that in roulette you can only get red or black in an instant (one time), then every time you turn the wheel, the probability of getting red or black is (0.5) 50% due to which they are mutually exclusive events.

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

i'm not entirely sure

step-by-step explanation:

if you ask home depot or lowe's they might be able to you out