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SOVA2 [1]
3 years ago
10

Expand 5⁴ WHAT IS THE ANSWER​

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

Answer:

5x5x5x5=625

:)

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The farmer had sold 100 horses and cows
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36 it the surface area of the triangler prism
5 0
2 years ago
What is 1323/12 in simplified form
Mice21 [21]

Answer:

441/4

Step-by-step explanation:

Find the GCD of numerator and denominator

GCD of 1323 and 12 is 3

Divide both the numerator and denominator by the GCD

1323 ÷ 3

12 ÷ 3

Reduced fraction:

441/4

________

Hope this helps!

-Lexi

4 0
2 years ago
Let U1, ..., Un be i.i.d. Unif(0, 1), and X = max(U1, ..., Un). What is the PDF of X? What is EX? Hint: Find the CDF of X first,
Kryger [21]

Answer:

E(X)= n \int_{0}^1 x^n dx = n [\frac{1}{n+1}- \frac{0}{n+1}]=\frac{n}{n+1}

Step-by-step explanation:

A uniform distribution, "sometimes also known as a rectangular distribution, is a distribution that has constant probability".

We need to take in count that our random variable just take values between 0 and 1 since is uniform distribution (0,1). The maximum of the finite set of elements in (0,1) needs to be present in (0,1).

If we select a value x \in (0,1) we want this:

max(U_1, ....,U_n) \leq x

And we can express this like that:

u_i \leq x for each possible i

We assume that the random variable u_i are independent and P)U_i \leq x) =x from the definition of an uniform random variable between 0 and 1. So we can find the cumulative distribution like this:

P(X \leq x) = P(U_1 \leq 1, ...., U_n \leq x) \prod P(U_i \leq x) =\prod x = x^n

And then cumulative distribution would be expressed like this:

0, x \leq 0

x^n, x \in (0,1)

1, x \geq 1

For each value x\in (0,1) we can find the dendity function like this:

f_X (x) = \frac{d}{dx} F_X (x) = nx^{n-1}

So then we have the pdf defined, and given by:

f_X (x) = n x^{n-1} , x \in (0,1)  and 0 for other case

And now we can find the expected value for the random variable X like this:

E(X) =\int_{0}^1 s f_X (x) dx = \int_{0}^1 x n x^{n-1}

E(X)= n \int_{0}^1 x^n dx = n [\frac{1}{n+1}- \frac{0}{n+1}]=\frac{n}{n+1}

6 0
3 years ago
For the function shown below, find f(3): f(x)=2x^4-8x^2+5x-7
a_sh-v [17]

We have been given the function

f(x)=2x^4-8x^2+5x-7

We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.

f(3)=2(3)^4-8(3)^2+5(3)-7

Now, we simplify this step by step.

First of all 3^4=81\text{ and }3^2=9. Thus, we have

f(3)=2\times 81 -8\times 9+5(3)-7

Now, we can easily simplify it by PEMDAS

f(3)=162-72+15-7

f(3)=98


Therefore, the value of f(3) is 98.

3 0
3 years ago
Read 2 more answers
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