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2 years ago

Find the slope and the y-intercept of the graph of y-1 = 3x + 8.4.

Mathematics

2 answers:

Paha777 [63]2 years ago

8 0

The slope is 3 and the y-intercept is (0, 9.4)

____ [38]2 years ago

6 0

Step-by-step explanation:

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Let X be a Bernoulli rv with pmf as in Example 3.18. a. Compute E(X2 ). b. Show that V(X) 5 p(1 2 p). c. Compute E(X79).

spayn [35]

The Bernoulli distribution is a distribution whose random variable can only take 0 or 1

The value of E(x2) is p
The value of V(x) is p(1 - p)
The value of E(x79) is p

<h3>How to compute E(x2)</h3>

The distribution is given as:

p(0) = 1 - p

p(1) = p

The expected value of x2, E(x2) is calculated as:

$E(x^2) = \sum x^2 * P(x)$

So, we have:

$E(x^2) = 0^2 * (1- p) + 1^2 * p$

Evaluate the exponents

$E(x^2) = 0 * (1- p) + 1 * p$

Multiply

$E(x^2) = 0 +p$

Add

$E(x^2) = p$

Hence, the value of E(x2) is p

<h3>How to compute V(x)</h3>

This is calculated as:

$V(x) = E(x^2) - (E(x))^2$

Start by calculating E(x) using:

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 0 * (1- p) + 1 * p$

$E(x) = p$

Recall that:

$V(x) = E(x^2) - (E(x))^2$

So, we have:

$V(x) = p - p^2$

Factor out p

$V(x) = p(1 - p)$

Hence, the value of V(x) is p(1 - p)

<h3>How to compute E(x79)</h3>

The expected value of x79, E(x79) is calculated as:

$E(x^{79}) = \sum x^{79} * P(x)$

So, we have:

$E(x^{79}) = 0^{79} * (1- p) + 1^{79} * p$

Evaluate the exponents

$E(x^{79}) = 0 * (1- p) + 1 * p$

Multiply

$E(x^{79}) = 0 + p$

Add

$E(x^{79}) = p$

Hence, the value of E(x79) is p

Read more about probability distribution at:

brainly.com/question/15246027

5 0

2 years ago

Which of these graphs represents a function?

Vlad1618 [11]

The answer is X.
In order for it to be a function, there should be only one y-value for every x-value. Graph x is the only one that obeys this rule, therefore it is the answer

7 0

2 years ago

The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?

tankabanditka [31]

Answer:

x² + x = 42

Step-by-step explanation:

Let the number be x then the square of this number is x²

Sum and equate to 42, that is

x² + x = 42

6 0

2 years ago

All of the following are equivalent to 2(2 a+ b) + 8 except __________

Masteriza [31]

2 * (2a + b) + 8 = 4a + 2b + 8
------------------------------------------
A. =
B. =
C. ≠ 4* (a + b + 2) = 4a + 4b + 8
D. =

5 0

3 years ago

Name the slope perpendicular to 3/4.

Gnom [1K]

Answer:

The perpendicular slope is -4/3

Step-by-step explanation:

Perpendicular slopes multiply to -1

m * 3/4 = -1

Multiply each side by 4/3

m * 3/4 *4/3 = -1 * 4/3

m = -4/3

The perpendicular slope is -4/3

8 0

3 years ago

Read 2 more answers