We remember that when we round a decimal, we look the number to the right to the one we want to round (in this case, as we want to round to the nearest hundredth, we look at the thousandth position).
0. If the number ,is greater or equal than 5, we round up, (this is, we add 1 number to the position).
,
1. If the number, is less than 5, we round down, (we leave the same number)
In our exercise, we look at the thousandth position, which is 6. And as it is bigger than 5, we add 1 to the 9 (which is the hundredth position):
We obtain 10, but then as we can't put 10 on a digit, we add 1 to the tenth, and we obtain:

Thus, 4,412.096 rounded to the nearest hundredth is 4,412.1.
Using the binomial distribution, it is found that approximately 156 cards must be drawn from the deck before players' tokens move forward 50 times.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability </u>of a success on each trial.
The expected number of trials until q successes is:

In this problem, the parameters are given as follows:
q = 50, p = 0.32.
Hence:

More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
-28
Step-by-step explanation:
Plugging in -6 as x we get 5(-6) + 2, which simplifies to -30 + 2 or -28.
Median means middle. How you solve this is by first putting the numbers in order from least to greatest:
36 41 43 45 46 48 48 51 51 52
Now that it is in order in each "level" take away the smallest and largest number until you get to the middle
36 41 43 45 46 48 48 51 51 52
41 43 45 46 48 48 51 51
43 45 46 48 48 51
45 46 48 48
46 48
Now this is a bit tricky because there isn't one number to signify the exact middle. When you have two numbers left you must take the mean of those two numbers. This means that you add the two numbers left and then divide the answer by 2:
46 + 48 = 94
94 ÷ 2 = 47
Hope this helped!