Answer:
2/9
Step-by-step explanation:
The Poisson’s distribution is a discrete probability distribution. A discrete probability distribution means that the events occur with a constant mean rate and independently of each other. It is used to signify the chance (probability) of a given number of events occurring in a fixed interval of time or space.
In the long run, fraction of time that it rains = E(Number of days in rainy spell) / {E(Number of days in a rainy spell) + E(Number of days in a dry spell)}
E(Number of days in rainy spell) = 2
E(Number of days in a dry spell) = 7
In the long run, fraction of time that it rains = 2/(2 + 7) = 2/9
In the translation of graph,
the image is
g(x)=f(x-h)+k
where
h=translation to the right
k=translation upwards.
For the given transformation,
g(x)=f(x-(-8))+4
we see that h=-8, k=+4
so we conclude that g(x) is a translation of f(x) 8 units to the left, and 4 units up.
Answer:
The recursive formula of the arithmetic sequence is
Step-by-step explanation:
A recursive formula designates the starting term, , and the nth term of the sequence, , as an expression containing the previous term (the term before it), .
Recursive formulas give us two pieces of information:
- The first term of the sequence
- The pattern rule to get any term from the term that comes before it
From the arithmetic sequence , the first term is -16 and the rule to get any term from its previous term is add -17.
Therefore, the recursive formula should look as follows:
It will be 6/11, missing number is 6
Answer:
The answer is 90 winners.
Step-by-step explanation:
Well, we are given three days. The first day has a rate of 13% winning. The second day has a rate of 13% as well. And the third day has a rate of 11%. You can find this simply by dividing the amount of winners by amount of participants. Now, we must find the mean, or average, of these statistics. We will get 12% as the average rate of winners. How did we get this? By simply adding all three (13+13+11) then dividing by three (37/3), which gives us 12% if we round to a whole number. Now, we can take this number and get 12% of 750. How do we do this? Well, 12% is equal to 0.12. So we will multiply 0.12 by 750. This will give us 90. And there you have your answer.
<em>Alternatively</em>, you could add up the total amount of contestants from the three days. You should end up with 1000. Then add up the total amount of winners from the three days. You should get 120. Divide both of these by 4. The winners will now be 40, and the total contestants will be 250. Now multiply both by 3. The amount of contestants will be 750, and the amount of winners will be 90. This way is a bit easier, but does not always work. <u>Do what is best for you!</u>
Hope this helped!