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iren2701 [21]
2 years ago
11

Can someone please help me with this, and please only comment if ur sure, Thank you <3

Mathematics
1 answer:
ruslelena [56]2 years ago
7 0
Exponential

the equation is
y = 12,800 (0.5)^x
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Let X1, . . . ,Xn ∈ R be independent random variables with a common CDF F0. Let Fn be their ECDF and let F be any CDF. If F = Fn
Georgia [21]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof that: Let X_1, X_2, ...X_n \in R be independent random variables with a common CDF F_0. Let F_n be their ECDF and let F any CDF. If F \neq F_n then L(F)

Proof

Let z_a different values in the set {X_1,X_2,...,X_n}} and we can assume that n_j \geq 1 represent the number of X_i that are equal to z_j.

We can define p_j = F(z_j) +F(z_j-) and assuming the probability \hat p_j = \frac{n_j}{n}.

For the case when p_j =0 for any j=1,....,m then we have that the L(F) =0< L(F_n)

And for the case when all p_j >0 and for at least one p_j \neq \hat p_j we know that log(x) \leq x-1 for all the possible values x>0. So then we can define the following ratio like this:

log (\frac{L(F)}{L(F_n)}) = \sum_{j=1}^m n_j log (\frac{p_j}{\hat p_j})

log (\frac{L(F)}{L(F_n)}) = n \sum_{j=1}^m \hat p_j log(\frac{p_j}{\hat p_j})

log (\frac{L(F)}{L(F_n)}) < n\sum_{j=1}^m \hat p_j (\frac{p_j}{\hat p_j} -1)

So then we have that:

log (\frac{L(F)}{L(F_n)}) \leq 0

And the log for a number is 0 or negative when the number is between 0 and 1, so then on this case we can ensure that L(F) \leq L(F_n)

And with that we complete the proof.

8 0
3 years ago
The volume of a cube-shaped box is 27^5 cubic millimeters. What's the length of one side of the cube-shaped box?
Vinil7 [7]
5^10 hope this helps have a good day
7 0
2 years ago
The recycling center processed 36,000 pounds of recyclable materials. How many tons of recyclable materials are processed?
olchik [2.2K]

Answer:

18 Tons

Step-by-step explanation:

36,000 / 2000 = 18

3 0
2 years ago
The dolphins at the Logan Aquarium are fed 3 7/8 buckets of fish each day. The sea otters are fed 2 9/10 times as much fish as t
Bond [772]

Answer:

Step-by-step explanation:

If the dolphins are fed half a bucket of fish then half of that would be a quarter, therefore the sea otters are fed 1/4 of a bucket.

7 0
3 years ago
For a ride on a rental scooter, Deon paid an $8 fee to start the scooter plus 6 cents per minute of the ride. The total bill for
faltersainse [42]

Answer:

66 minutes

Step-by-step explanation:

11.96 - 8 =3.96

Every 10 minutes Deon pays 60 cents because 6 times 10 = 60 and every 6 minutes Deon is paying 36 cents

10 min = 60 cents

20 min = $1.20        

40 min = $2.40

50 min = $3.00

60 min = $3.60

6 min = 36 cents

Then you do 3.60 + 36 which equals $3.96

How to figure how the minutes is just 60 + 6 = 66 minutes

7 0
2 years ago
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