Answer:
0.01052
Step-by-step explanation:
It would take me a million years to show you how to solve it but its long division
Answer:
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
In this question:
We only have the mean during an interval, and this is why we use the Poisson distribution.
The mean number of births per minute in a given country in a recent year was about 6.
This means that 
Find the probability that the number of births in any given minute is exactly five.
This is P(X = 5). So
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
Let's set up some equations.
We know that 7/8 of a liter fills up our bottle 5/6 of the way. Thus 7/8=5/6 * b.
Now, let's divide both sides by 5/6 to get b = 21/20. However, none of the answer choices provided are correct. Let's look at each one to determine why it's not correct.
A. This answer is false because 35/48 < 7/8. If 7/8 of a liter doesn't completely fill up the bottle, there is no way that a value less than 7/8 can fill up the bottle - it's impossible.
B. Same case as answer A, but 11/38 instead of 35/48.
C. Same case as answer A, but 11/20 instead of 35/48.
D. This answer however is more than 35/48, so is it correct? No. 113/35 is just over 3. Since 7/8 of a liter almost fills the bottle but does not quite completely fill it, there is no way that adding 2 more liters can fill up the bottle just the tiny 1/6 of the way. That is disproportional and is thus wrong.
5qts=20c Knowing that there are 4 quarts in a gallon and 16 cups in a gallon I took 16 + one quart (4 cups) to get 20 cups.
600cm=6m Knowing that their are 100cm in every meter I divided 600 by 100 to get 6, so 6 meters.
<span>What is 12x^2 +14x -6 factored
= (2x + 3)(6x - 2)
hope that helps
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