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mamaluj [8]
3 years ago
9

Please help me with these questions!

Mathematics
1 answer:
love history [14]3 years ago
4 0

Answer:A=1/2xbh

1/2 x10x5=25 square inches

Step-by-step explanation:

You might be interested in
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
40 points David invests $10,000 in a savings account that pays 3.5% simple interest. If David makes no withdrawals or deposits t
sweet [91]

Answer:

FV= $12,450

Step-by-step explanation:

Giving the following information:

David invests $10,000 in a savings account that pays 3.5% simple interest.

<u>To calculate the future value, we need to use the following formula.</u>

FV= PV*(1+i*n)

n= 7

i= 0.035

PV= 10,000

FV= 10,000*(1+0.035*7)

FV= $12,450

6 0
3 years ago
Which of the following explains how ΔBEI could be proven similar to ΔCEH using the AA similarity postulate? Quadrilateral ABDC,
maria [59]

∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.

i got it right on the test

8 0
3 years ago
Choose the like terms: 2l,2,l
Lady_Fox [76]
Like terms are 2 and 1

4 0
3 years ago
Im stuck on three questions this one is the first one a little help?
Anit [1.1K]
The correct answer should be A
3 0
3 years ago
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