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viktelen [127]
3 years ago
6

The product o 4z and 0 is

Mathematics
1 answer:
Kamila [148]3 years ago
8 0
The Government 45 is the first to graduate from school
You might be interested in
Please help 15 points thank you
Furkat [3]

Answer:

9

Step-by-step explanation:

The common difference is what we add each time,

a2 -a1

15-6 =9

Lets check with

a3-a2

24-15 = 9

We add 9 each time, so 9 is the common difference

(Hint: it is the number multiplied by the variable)

3 0
3 years ago
Suppose the standard deviation of X is 6 and the standard deviation of Y is 8. Answer the following two questions, rounding to t
Darina [25.2K]

Recall that

Var[<em>aX</em> + <em>bY</em>] = <em>a</em> ² Var[<em>X</em>] + 2<em>ab</em> Cov[<em>X</em>, <em>Y</em>] + <em>b</em> ² Var[<em>Y</em>]

Then

Var[3<em>X</em> - 7<em>Y</em>] = 9 Var[<em>X</em>] - 42 Cov[<em>X</em>, <em>Y</em>] + 49 Var[<em>Y</em>]

Now, standard deviation = square root of variance, so

Var[3<em>X</em> - 7<em>Y</em>] = 9×6² - 42×2 + 49×8² =  3376

The general result is easy to prove: by definition,

Var[<em>X</em>] = E[(<em>X</em> - E[<em>X</em>])²] = E[<em>X </em>²] - E[<em>X</em>]²

Cov[<em>X</em>, <em>Y</em>] = E[(<em>X</em> - E[<em>X</em>]) (<em>Y</em> - E[<em>Y</em>])] = E[<em>XY</em>] - E[<em>X</em>] E[<em>Y</em>]

Then

Var[<em>aX</em> + <em>bY</em>] = E[((<em>aX</em> + <em>bY</em>) - E[<em>aX</em> + <em>bY</em>])²]

… = E[(<em>aX</em> + <em>bY</em>)²] - E[<em>aX</em> + <em>bY</em>]²

… = E[<em>a</em> ² <em>X</em> ² + 2<em>abXY</em> + <em>b</em> ² <em>Y</em> ²] - (<em>a</em> E[<em>X</em>] + <em>b</em> E[<em>Y</em>])²

… = E[<em>a</em> ² <em>X</em> ² + 2<em>abXY</em> + <em>b</em> ² <em>Y</em> ²] - (<em>a</em> ² E[<em>X</em>]² + 2 <em>ab</em> E[<em>X</em>] E[<em>Y</em>] + <em>b</em> ² E[<em>Y</em>]²)

… = <em>a</em> ² E[<em>X</em> ²] + 2<em>ab</em> E[<em>XY</em>] + <em>b</em> ² E[<em>Y</em> ²] - <em>a</em> ² E[<em>X</em>]² - 2 <em>ab</em> E[<em>X</em>] E[<em>Y</em>] - <em>b</em> ² E[<em>Y</em>]²

… = <em>a</em> ² (E[<em>X</em> ²] - E[<em>X</em>]²) + 2<em>ab</em> (E[<em>XY</em>] - E[<em>X</em>] E[<em>Y</em>]) + <em>b</em> ² (E[<em>Y</em> ²] - E[<em>Y</em>]²)

… = <em>a</em> ² Var[<em>X</em>] + 2<em>ab</em> Cov[<em>X</em>, <em>Y</em>] + <em>b</em> ² Var[<em>Y</em>]

6 0
3 years ago
3.Compare properties of squares and rhombi to properties of other quadrilaterals by answering each question. Write a brief expla
frozen [14]

Given:

Quadrilaterals are given.

a)

Opposite sides are equal.

Length of the diagonals are equal.

Angles on four edges is 90 degree.

b)

All sides are equal.

c)

Length of the diagonals are not equal.

Opposite sides are equal.

d)

All sides are equal.

90 degree form in the intersection of the diagonal.

3 0
1 year ago
Find
Aneli [31]

Answer:

8/5

Step-by-step explanation:

4 0
3 years ago
I will give brainliest. I need help ASAP.
Tamiku [17]

Answer:

\I got not answer cause im da BUDDHA

But gimme brainliest squekky plssss

4 0
3 years ago
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