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2 years ago

11

3 3/5 + 1 1/4 = ??????

1 answer:

Nikitich [7]2 years ago

5 0

Answer:

4 & 17/20

Step-by-step explanation:

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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 circumference of one coin is 8.03cm. The circumference of another coin is 0.33cm smaller. A.) what is the first step to find

Burka [1]

Answer:

Diameter of the smaller coin = 2.46 cm

Step-by-step explanation:

Circumference of a coin = 2πr

Circumference of coin A = 8.03 cm

Circumference of coin B = 8.03 cm - 0.33 cm

A.) what is the first step to find the diameter of the smaller coin?

Find the circumference of coin B

Circumference of coin B = 8.03 cm - 0.33 cm

= 7.7 cm

B.) Find the diameter of the smaller coin.

Circumference of a coin = 2πr

7.7 = 2 × 3.14 * r

7.7 = 6.28r

r = 7.7 / 6.28

r = 1.23 cm

Diameter = 2r

= 2 * 1.23 cm

= 2.46 cm

Diameter of the smaller coin = 2.46 cm

4 0

2 years ago

Rounding 845,001 to the nearest thousand

elena-s [515]

840,000 is the answer

4 0

2 years ago

Read 2 more answers

Angelica’s bouquet of dozen roses contains 5 white roses. The rest of the roses. What fraction of the bouquet is pink? There are

Gennadij [26K]

Answer:

7/12

Step-by-step explanation:

total: 12 roses

white roses: 5

pink roses: 7

fraction of pink roses = 7/12

4 0

2 years ago

I need help plz i dont get it and im trying to get my grade up

Ymorist [56]

Answer:

648

Step-by-step explanation:

(25 - 9 + 2)^2 / 3x6

= 108 x 6

= 608

follow BODMAS and you'll get it

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

4 0

3 years ago

Read 2 more answers