How to complete the table?

Answer:

The mean is also increased by the constant k.

Step-by-step explanation:

Suppose that we have the set of N elements

{x₁, x₂, x₃, ..., xₙ}

The mean of this set is:

M = (x₁ + x₂ + x₃ + ... + xₙ)/N

Now if we increase each element of our set by a constant K, then our new set is:

{ (x₁ + k), (x₂ + k), ..., (xₙ + k)}

The mean of this set is:

M' = ( (x₁ + k) + (x₂ + k) + ... + (xₙ + k))/N

M' = (x₁ + x₂ + ... + xₙ + N*k)/N

We can rewrite this as:

M' = (x₁ + x₂ + ... + xₙ)/N + (k*N)/N

and  (x₁ + x₂ + ... + xₙ)/N was the original mean, then:

M' = M + (k*N)/N

M' = M + k

Then if we increase all the elements by a constant k, the mean is also increased by the same constant k.

Answer:

8/3 total or 2 2/3

Step-by-step explanation:

4 x 4/6 is the same thing as...

4/1 x 4/6

Multiply straight across...

16/6

Simplify...

8/3 total or 2 2/3

:)

Answer:

of what?

Step-by-step explanation:

Answer:

B 24 inches

hope this helps UwU

Answer:

Perpendicular = Y = 34.64 ft (Approx)

Base = X = 20 ft

Step-by-step explanation:

Given:

θ = 60°

Hypotenuse = 40 ft

Perpendicular = Y

Base = X

Find:

X and Y

Computation:

Sinθ = Perpendicular / Hypotenuse

Sin 60 = Y / 40

Perpendicular = Y = 34.64 ft (Approx)

Cosθ = base / Hypotenuse

cos 60 = X / 40

Base = X = 20 ft

Answer:

|4| = 4

|-4| = 4

Step-by-step explanation:

Answer:

its 4

Step-by-step explanation:

absolute value of 4 is 4 you get rid of any signs co efficients etc.

Answer:

I believe its g if it's not I'm sorry

Answer:

55.9

Step-by-step explanation:

Answer:

The answer will be 55.9

Step-by-step explanation:

Solve by elimination.

multiply the lower equation by negative 1.

-y=7x-21

-y+y=o

new equation is

7x+6-52=0

6-52 is -46

-7x=-46

divide by -7

x=6.57...

plug it back in

y= 7(6.57)+21

7*6.57= 46

y=46+21

y=67

(might be wrong, I tried)

Answer:

Step-by-step explanation:

its is y=67 or it might be y=7 i

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab +b²

a = y  & b = 10

(y + 10)² = y² + 2 *y*10 + (10)²

            = y² + 20y + 100

Answer:

Scientific notion: 83M meanin million

Answer:

[tex]8.3[/tex] x [tex]10^7[/tex]

Step-by-step explanation:

83 000 000  ×  1  =  83 000 000

But 1 can be written as [tex]\frac{10^7}{10^7}[/tex]

83000000  × [tex]\frac{10^7}{10^7}[/tex] =  83000000  ×  1  =  83000000

[tex]\frac{83000000}{10^7}[/tex] x [tex]10^7[/tex] =  83000000  ×  1  =  83000000

Divide the denominator of [tex]10^7[/tex] into  83000000

[tex]8.3[/tex] x [tex]10^7[/tex] =  83000000

Step-by-step explanation:

1 = (-2,3)

2= (1,2)

3= (4,1)

4= (3,-3)

Answer:

11 ÷ 30

Step-by-step explanation:

The computation of the fraction of an hour of 22 minutes is shown below:

As we know that

In one hour there is 60 minutes

Now the fraction would be

= 22 ÷ 60

= 11 ÷ 30

Answer:

graph using coordinates below

Step-by-step explanation:

plug in x

-2 2

0 0

1 -1

2 -2

Answer:

B.) There were 15 more questions on the test than the last test.

Step-by-step explanation:

Answer:

C. The car's initial value is $30,000, and the car's value decreases $2,000 each year.

Step-by-step explanation:

first I looked at the graph and saw that the y-intercept(car's initial value) was 30,000 which allowed me to eliminate A and B. Then found the slope by using the [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]= slope formula. [tex]\frac{24,000-30,000}{3-0}=\frac{-6,000}{3}=-2,000[/tex]. This tells us that the slope is -2,000 which means that the value decreases by 2,000 each month. So the correct answer is C.

The car's initial value is $30,000, and the car's value decreases by $2,000 each year. the correct answer would be an option (C).

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The given graph shows the relationship between the number of years after a car is purchased and the car's value.

As per the graph, we take two points (0, 30,000) and (6, 18,000)

Here slope of the given graph is equal to the car's value decreases by each year.

So slope = (18,000 - 30,000)/(6-0) = -12,000/6 = -2000

This means the car's value decreases by $2,000 each year.

Thus, the car's initial value is $30,000, and the car's value decreases by $2,000 each year.

Learn more about the Lines here:

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Answer:

the 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

50,862,115

After the hundreth thousands place comes the millions.

Answer:

3.0926 x 10^10

Step-by-step explanation:

6.58(4.7) x 10^(6+3)

30.926 x 10^9 = 3.0926 x 10^10

The quotient of 6.58 x 10⁶ and 4.7 x 10³ expressed in scientific notation as 1.4 × 10³.

In order to write a number in scientific notation, express the number in terms of the product of a number between 0 to 10 and the power of 10.

For example, 32 can be written as 3.2 × 10¹.

Here, 3.2 is between 0 and 10 and the power of 10 is 1.

The given numbers in scientific notations are  6.58 x 10⁶ and 4.7 x 10³.

In order to write their quotient by dividing 6.58 by 4.7 and then multiply it by the power of 10 as follows,

6.58 x 10⁶ ÷ 4.7 x 10³

= (6.58 ÷ 4.7) × 10⁶⁻³

= 1.4 × 10³

Hence, the quotient of the given numbers in scientific notation can be written as 1.4 × 10³.

To know more about scientific notation click on,

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Answer:

x = 19

Step-by-step explanation:

All triangle angles equal 180

3x + 9 + 2x + 4x = 180

9x + 9 = 180

9x = 171

x = 19

Answer:

128 servings.

Step-by-step explanation:

1 Gallon = 16 Cups

16/1.25 = 12.8

12.8 * 10 = 128 Servings.

Answer

14 : 1

Step-by-step explanation:

28 to 2 = 28 : 2,

so simplify that and it's 14 : 1

Answer:

24 is the simplest common denominator of 3 and 8

Step-by-step explanation:

24 is the first time they can become equal without becoming a decimal

hope this helps <3

Answer:

2685-279=2,406

2,406÷2=1,203

Step-by-step explanation:

Ricky hit 1,203. because Pedro hit 279 so subtract it from 2685 and then divide by 2 and then you get Ricky's and you also get pedros if you add 1203 and 279 which gives you 1482.

Answer:

x ≈ 0.843913

Step-by-step explanation:

1) 2π × 3x = 7x + 10

2) 6πx = 7x + 10

3) 6πx - 7x = 10

4) ( 6π - 7)x = 10

5) x =10/6π - 7 0R x ≈ 0.843913

Answer:

904.78

Step-by-step explanation:

Cylinder volume formula:

V = πr²h

V = π(6²)(8)

V = 904.78

Answer:

2.11111111111

Step-by-step explanation:

subract 5 7/9-3 2/3

Answer:

5 7/9 - 3 2/3 = 2 1/9

Step-by-step explanation:

can i plz get brainliest

Answer:

[tex]Phase\ Shift = -\frac{c}{b}[/tex]

Step-by-step explanation:

See comment for complete question

Given

[tex]f(x) = Asin(bx+c)+d[/tex]

Required

Determine an expression for the phase shift

[tex]f(x) = Asin(bx+c)+d[/tex]

Factorize the expression in bracket

[tex]f(x) = Asin(b(x+\frac{c}{b}))+d[/tex]

The general expression is:

[tex]F(t) = A f(B(t - C/B)) + D[/tex]

Where:

C/B is the phase shift

By comparing the general expression with: [tex]f(x) = Asin(b(x+\frac{c}{b}))+d[/tex]

[tex]-\frac{C}{B} = \frac{c}{b}[/tex]

Multiply both sides by -1

[tex]\frac{C}{B} = -\frac{c}{b}[/tex]

Hence:

[tex]Phase\ Shift = -\frac{c}{b}[/tex]