Determine the equation of the line, written in slope-intercept form, that passes through the points (1,1)

What are the first four terms of the sequence shown below? an = n3 + n2

prisoha [69]

Answer:

2, 12, 36, 80

Step-by-step explanation:

Substitute n = 1, 2, 3, 4 into the n th term formula, that is

a₁ = 1³ + 1² = 1 + 1 = 2

a₂ = 2³ + 2² = 8 + 4 = 12

a₃ = 3³ + 3² = 27 + 9 = 36

a₄ = 4³ + 4² = 64 + 16 = 80

8 0

4 years ago

. Let X and Y be random variables of possible percent returns (0%, 10%,

bazaltina [42]

(a) The marginal distribution of X is

Pr(X = x) = ∑ Pr(X = x, Y = y)

… = 0.0625 + 0.0625 + 0.0625 + 0.0625

… = 0.25

That is, the first equality follows from the law of total probability, with the sum taken over y from {0, 5, 10, 15}. Each probability Pr(X = x, Y = y) is given in the table to be 0.0625.

Similarly, the marginal distribution of Y is

Pr(Y = y) = 0.25

(b) Yes, they're independent because

Pr(X = x, Y = y) = 0.0625,

and

Pr(X = x) Pr(Y = y) = 0.25 • 0.25 = 0.0625.

(c) The mean of X is

E[X] = ∑ x Pr(X = x)

… = 0.25 ∑ x

… = 0.25 (0 + 5 + 10 + 15)

… = 7.5

and you would find the same mean for Y,

E[Y] = 7.5

The variance of X is

V[X] = E[X^2] - E[X]^2

… = (∑ x^2 Pr(X = x)) - 7.5^2

… = 0.25 (∑ x^2) - 56.25

… = 0.25 (0^2 + 5^2 + 10^2 + 15^2) - 56.25

… = 31.25

and similarly,

V[Y] = 31.25

(each sum is taken with x and y from {0, 5, 10, 15})

7 0

3 years ago

Write a quadratic equation having the given solutions 12, 7

Elan Coil [88]

X^2 - 7x -12? good luck idk

5 0

4 years ago

Rectangular Garden

vladimir2022 [97]

Answer:

The length, in feet, of the side of the garden that is against the wall is(60 - x - CD) ft.

Step-by-step explanation:

Consider the diagram below.

The wall is labelled as AD, the side perpendicular to the wall is labelled as AB and the side against the wall is labelled as CB.

It is provided that the rectangular garden is enclosed by 60 feet of fencing on three sides.

That is,

AB + CB + CD = 60 ft.

⇒ x + CB + CD = 60 ft.

Then the length, in feet, of the side of the garden that is against the wall is:

x + CB + CD = 60 ft.

⇒ CB = (60 - x - CD) ft.

6 0

3 years ago

Plz help, dont spam!

almond37 [142]

Answer: The answer is C (x-3)(y+5) as x to the left is - 3 and y + 5 means that it is translated up!

Step-by-step explanation:

Hope it helped!

8 0

3 years ago

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