Please help me. It would be greatly appreciated

Recall that

Var[aX + bY] = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]

Then

Var[3X - 7Y] = 9 Var[X] - 42 Cov[X, Y] + 49 Var[Y]

Now, standard deviation = square root of variance, so

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

The general result is easy to prove: by definition,

Var[X] = E[(X - E[X])²] = E[X ²] - E[X]²

Cov[X, Y] = E[(X - E[X]) (Y - E[Y])] = E[XY] - E[X] E[Y]

Then

Var[aX + bY] = E[((aX + bY) - E[aX + bY])²]

… = E[(aX + bY)²] - E[aX + bY]²

… = E[a ² X ² + 2abXY + b ² Y ²] - (a E[X] + b E[Y])²

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

… = a ² E[X ²] + 2ab E[XY] + b ² E[Y ²] - a ² E[X]² - 2 ab E[X] E[Y] - b ² E[Y]²

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

… = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]

This system of equations have 2 real solution.

As a result, all of these numbers—rational and otherwise—as well as fractions are regarded as real numbers. Due to the decimal's ability to float within the numbers, real numbers with decimal points are known as floating point numbers. No whole number or integer can be a floating point number.

y = 3x + 1 is a solution to 3x - y + 1 = 0.

This line's y-intercept is represented by (0, 1). Plot this point inside the circle with radius 6 that was previously mentioned, and then draw a straight line through it with a slope of 3.

Two points where this line crosses the circle denote actual solutions.

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5/8

i convert to decinal then back to fraction, but you can do it however.

Exact Form: 21/8
Mixed number form: 2 5/8

Step-by-step explanation:

Answer:

3 - 9 = -6

3% of 9 = 0.27

Step-by-step explanation:

Answer:

The answer should be -4/1 or just -4.

Step-by-step explanation:

y/x

The change in y is reducing by 4. The change in x is adding 1

Answer:

C

Step-by-step explanation:

We replace k with 12

12 + 6 = 18

This it's true

Thus, the answer is C

Answer:

15

Step-by-step explanation:

we have to divide a value of y by a value of x

(15: 1) = 15

we can check this result by do other tries.

(30:2) = 15

(45:3) = 15

(60:4) = 15

=>(c)^2=(a)^2+(b)^2

=>(c)^2=(56)^2+(33)^2

=>(c)^2=3136+1089

=>(c)^2=4225

=>c=√4225

=>c=65 metre

The third term of the geometric sequence will be 8/3.

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The equation is given below.

aₙ = (2/3) · (-2)ⁿ⁻¹

The third term of the geometric sequence will be given as,

a₃ = (2/3) · (-2)³⁻¹

a₃ = (2/3) · (-2)²

a₃ = (2/3) · (4)

a₃ = 8 / 3

The third term of the geometric sequence will be 8/3.

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Answer:

23

Step-by-step explanation:

5-3=2

7-5=2

21+2=23

its adding 2 each time the numbers change

Answer:

0.2 in decimal form and 1/5 in fraction form

Step-by-step explanation:

Answer:

-3/10-1/10

= -4/10

Step-by-step explanation:

-3-1=-4............

If u are supposed to reduce to simplest form

-2/5

Answer:

The graph of the cube root function is a continuous and smooth curve that starts at the point (0,0) and extends indefinitely in both the positive and negative directions on the x-axis. The graph increases as x increases from negative infinity to 0, and then decreases as x increases from 0 to positive infinity.

The graph has a vertical asymptote at x = 0, meaning that as x approaches 0 from either direction, the y-values of the points on the graph become very large. However, since the function is defined as the cube root of x, the function is not actually defined at x = 0, so the asymptote is not part of the graph.

The function is an odd function, which means that it is symmetrical about the y-axis. This means that if we were to reflect the part of the graph that is to the right of the y-axis over the y-axis, the resulting graph would exactly match the part of the graph that is to the left of the y-axis.

Overall, the graph of the cube root function is a smooth curve that starts at (0,0) and extends indefinitely in both directions on the x-axis, with a vertical asymptote at x = 0 and symmetry about the y-axis.

The real property of 3 x (5 + 1) = (3 x 5) + (3x1) is the distributive property

From the question, we have the following parameters that can be used in our computation:

3 x (5 + 1) = (3 x 5) + (3x1)

The distributive property of algebra states that

x * (a + b) = x * a + x * b

This means that

x = 3

a = 5 and b = 1

By comparison, we can conclude that the property is the distributive property

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Answer: 24

Step-by-step explanation:

24/3=8

The segment lengths and the arc measures are NK = 12, JK = 24, arc MK = 53.1 degrees and arc JPK = 253.8 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

Using the pythagoras theorem, we have

NK^2 = 15^2 - 9^2

NK^2 = 144

So, we have

NK = 12

Next, we have

JK = 2 * NK

So, we have

JK = 2 * 12

Evaluate the product

JK = 24

For the arc measures, we have

arc MK = arc cos(9/15)

So, we have

arc MK = 53.1 degrees

Next, we have

arc JPK = 360 - 2 * 53.1 degrees

Evaluate

arc JPK = 253.8 degrees

Hence, the measure of the arc JPK is 253.8 degrees

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Answer:

d = 7.5

Step-by-step explanation:

Given that,

D varies as R and S, and inversely as t. It can be written as :

[tex]D=\dfrac{kRS}{t}[/tex]

Where

k is constant of proportionality

Put D=12, R=3, S=20, and t=5 to find k. So,

[tex]k=\dfrac{Dt}{RS}\\\\k=\dfrac{12\times 5}{3\times 20}\\\\k=1[/tex]

Now put R=15, S=4, k=1 and t=8 to find D. So,

[tex]D=\dfrac{1\times 15\times 4}{8}\\\\D=7.5[/tex]

Hence, the value of d is equal to 7.5.

Answer:

a. X is the number of DVDs a customer rents.

Step-by-step explanation:

The distribution states that:

0.05 = 5% probability a customer rents no DVDs

0.49 = 49% probability a customer rents 1 DVD

...

0.03 = 3% probability a customer rents 5 DVDs.

Thus, the random variable X is the number of DVDs a customer rents, and the correct answer is given by option A.

Answer:

A ..

Step-by-step explanation:

In the graph of a quadratic function with vertex (2, -4) is shown in the figure, the Domain: -∞ < x < ∞ and Range: -4 ≤ x < ∞.

When a polynomial function has one or more variables and the highest exponent of any one of the variables is two, the function is said to be quadratic function.

A polynomial of degree 2 is referred to as such because the highest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. This function is algebraic.

Domain for this quadratic function is all possible values of x where function is defined.

Thus, Domain: -∞ < x < ∞

Range is the set of value functions that correspond to the value 'x.'

Range: -4 ≤ x < ∞

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Answer:

the mean is 84.4

Step-by-step explanation:

have a good day

Answer: 84.4

Step-by-step explanation:

The surface area of the cone is 36π

Surface area of a cone = πr(r + l)

where

Therefore,

r = 4cm

l² = 4² + 3²

l² = 16 + 9

l = √25

l = 5 cm

Hence,

r = 4 cm

l =  5 cm

Surface area of a cone = π(r + l)

Surface area of a cone = 4π(4 + 5)

Surface area of a cone = 4π(9)

Surface area of a cone = 36π

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Answer: 36 pi

Step-by-step explanation:

Answer:

y > X/2 - 3

I think that's the answer.

Answer:

the answer is 17miles .....

Answer:

c= 17 miles

Step-by-step explanation:

try using a pythagorean calculator this will help you alot :)

Answer:

sooo like my dude i dont actually dont know

Step-by-step explanation:

so my dude might be A dont fricking know fricking idiot lol bozo

Answer: i think C

Step-by-step explanation:

Answer:

Is there an image?

Step-by-step explanation:

On solving the question, we can say that y using the given information we can prove that similar angle m ∠ABC = m ∠EDC.

Polygons' corresponding sides and corresponding angles are compared as part of the geometric tests for congruence and similarity. With care taken to maintain the order of adjacency, each side and each angle in one polygon is paired with a side or angle in the other polygon in these tests.

Given:

m ∠1 = m ∠2

m ∠2 = m ∠4

We have to prove that m ∠ABC = m ∠EDC

∠EDC = ∠3 + ∠4

m ∠ABC = m ∠1 + m ∠2

m ∠EDC = m ∠3 + m ∠4

m ∠1 + m ∠2 = m ∠3 + m ∠4      

m ∠ABC = m ∠EDC

Hence, by using the given information we can prove that  

m ∠ABC = m ∠EDC.

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Answer:

33.18

Step-by-step explanation:

The formula for the area of a circle is A = π r2, where r is the length of the radius of a circle. We can use our knowledge that a diameter is made up of two radii to understand that r = d/2. With this knowledge, you can rewrite the formula for the area of a circle as A = π (d/2)2.

Hope it made sense :)

The Chinese yuan you can buy for a dollar is 6.86483 Chinese yuan

From the question, we have the following parameters that can be used in our computation:

1 Chinese yuan= $0.14567

Divide both sides of the equation by 0.14567

So, we have the following representation

1/0.14567 Chinese yuan= $0.14567/0.14567

Evaluate the quotient

1/0.14567 Chinese yuan= $1

Evaluate the other quotient

6.86483 Chinese yuan= $1

This means that

$1 = 6.86483 Chinese yuan

Hence, you can buy 6.86483 Chinese yuan for $1

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Check the picture below.