What is the slope of a line that is parallel to the graph of the function below.
y = 1/4x-3

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]

Answer: D

Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.

So 150x(the number of tractors) + 1000(his pay each month)

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 :)

Answer:

137 - 48 = 89, so she climbed 89

Step-by-step explanation:

Answer:

point A

Step-by-step explanation:

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:

the mean is 84.4

Step-by-step explanation:

have a good day

Answer: 84.4

Step-by-step explanation:

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:

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:

3 - 9 = -6

3% of 9 = 0.27

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We replace k with 12

12 + 6 = 18

This it's true

Thus, the answer is C

Answer:

c = 90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Using the Pythagorean theorem, a^2 + b^2 = c^2

54^2 + 72^2 = 8100

c^2 = 8100

[tex]\sqrt{8100}[/tex] = 90

90 = c

Answer:

d

Step-by-step explanation:

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Answer: 24

Step-by-step explanation:

24/3=8

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:

23

Step-by-step explanation:

5-3=2

7-5=2

21+2=23

its adding 2 each time the numbers change

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:

1=90, 2=53,3=37, 4=53 As sum of angles in triangle 180°

Answer:

Range: 19

Mean: 11

Median: 11

Mode: 3

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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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:

hey i can help if you want it

Step-by-step explanation:

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:

-7, then -13, then -19

Step-by-step explanation:

Plug in x values to get y.

y = -2(0) - 7

y = 0 - 7

y = -7

y = -2(3) - 7

y = -6 - 7

y = -13

y = -2(6) - 7

y = -12 - 7

y = -19

Hope this helps. :0)

Check the picture below.

Answer:

y > X/2 - 3

I think that's the answer.

Answer:360°

Step-by-step explanation:

Answer: D:360

Step-by-step explanation:

Answer:

the answer is 17miles .....

Answer:

c= 17 miles

Step-by-step explanation:

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