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xenn [34]
2 years ago
10

Please help asap! answer should be in polynomial in standard form

Mathematics
1 answer:
snow_tiger [21]2 years ago
6 0

Answer:

-2y^{4} - 5y² + 42

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

y²(- 2y² + 7) + 6(- 2y² + 7) ← distribute both parenthesis

= - 2y^{4} + 7y² - 12y² + 42 ← collect like terms

= - 2y^{4} - 5y² + 42 ← in standard form

[ standard form means the first term has the largest exponent of the variable, followed by other terms in descending powers of the variable. ]

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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
Part A: Write an equation of a line that is perpendicular to the line y = 2/3x + 5 and passes through the point (4, 0).
Ivahew [28]

Step-by-step explanation:

First you need to make a line perpendicular to y=2/3x+5. To do that you have to know that, if we use y=ax+b, a1*a2=-1. That is if a1 and a2 are perpendicular. So we get 2/3*a2=-1. -1/ 2/3=a2. a2=-1.5. We get y=-1.5x+b. Fill in (4,0) on y=-1.5x+b abd we get 0=-1.5(4)+b. b=6

5 0
2 years ago
Read 2 more answers
Please help me with this
zvonat [6]

Answer:

Hey there!

The answer is 6/7h=4.

This means that 6/7 of his brother's height is four feet, which is Bryce's height.

Let me know if this helps :)

4 0
3 years ago
NEED HELP!! PLease!!
nadya68 [22]
For a relation to be called a function, it must pas the vertical line test and each x-value must have a unique y-value

<span>The graph of this sequence would pass the vertical line test.
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3 years ago
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One bus leaves a stop every 9 minute . A second bus leaves the stop every 15 minutes. If they both leave at 1:25 pm, at what tim
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They will leave at1:70
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