Spinning Spinner 1st Simulation Colors Tally red 14 yellow 6 green 19 blue 1 2nd Simulation Colors Tally red 24 yellow 17 green 28 blue 11 3rd Simulation Colors Tally red 26 yellow 24 green 32 blue 38 Jill conducted three simulations of spinning a fair spinner (four sections of different colors--red, blue, yellow, green). The first simulation consisted of 40 spins, the second simulation consisted of 80 spins and the third simulation consisted of 120 spins. The results were recorded in the tables shown. Do the results for the green section follow the law of large numbers? Why or why not? A) no, because the probability of green is the same for each of the simulations. B) yes, because the probability of green is different for each of the simulations. C) no, because with each simulation, as the number of trials increase, the probabilities vary greatly and do not approach the theoretical probability of 1 4 . Eliminate D) yes, because with each simulation, as the number of trials increase, the experimental probability gets closer and closer to the theoretical probability of 1 4 .

D

Step-by-step explanation: yes, because with each simulation, as the number of trials increase, the experimental probability gets closer and closer to the theoretical probability of

1/4.

The answer is D

Step-by-step explanation:

because with each simulation, as the number of trials increase, the experimental probability gets closer and closer to the theoretical probability of

1

4

. The law of large numbers indicates that if an event of probability p is observed repeatedly during independent repetitions, the ratio of the observed frequency of that event to the total number of repetitions approaches p as the number of repetitions becomes arbitrarily large.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: