Which is the expected value of the random variable with given probability distribution ?

Answer:

#1

#2

#3

Answer:

w = 18

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] (w + 18) = 12 ← distribute parenthesis on left side

[tex]\frac{1}{3}[/tex] w + 6 = 12 ( subtract 6 from both sides )

[tex]\frac{1}{3}[/tex] w = 6 ( multiply both sides by 3 to clear the fraction )

w = 18

Answer:

Step-by-step explanation:

The cylinder on the right, its volume = 9 bi * 10 = 90 bi

The volume of the left cylinder = 9 bi * 10 = 90 bi

They are equal because the radius and length of 2 cylinders are equal

Answer:

15 × 5

Step-by-step explanation:

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Answer:

3619.6cm^3

Step-by-step explanation:

Given data

Daimeter= 24cm

Radius= 12cm

The formula for finding the volume of the hemisphere is given below

V = 2/3*π*r³

Substitute

V= 2/3*3.142*12^3

V=  2/3*3.142*1728

V= 10858.752/3

V=3619.6cm^3

Hence the volume is 3619.6cm^3

Answer:

12

Step-by-step explanation:

12 divided by 4 is 3 or 12 split into 4 even parts is 3

3. 3 3. 3

1/4. 1/4 1/4. 1/4

Answer: its B

Step-by-step explanation:

Answer:

T' (1, -1)

Step-by-step explanation:

Since it is 2 units left, we would subtract 2 from the x value and since it is 3 units up, we would add 3 to the y value.

Answer:

The closest to the output when the input is approximately 12

Step-by-step explanation:

The given (x, y) coordinates are;

The line of best fit is

x, 0, 3, 6, 6, 8, 10, 11

y, -2, 7, 16, 15, 21, 28, 31

The line of best fit can be obtained from the scatter plot of the given data from where a linear pattern is apparent

A linear line of best fit is a trend line that gives an overall cumulative minimum distance of all the points from the line

The method for constructing a line of best fit includes;

1) The least Squares Method

2) The method of linear regression

3) Construction of line of best fit

a) The area method

b) The dividing method

The least squares equation is given as follows;

[tex]\hat y[/tex] = a + b·x

[tex]b = \dfrac{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma (x_i - \overline x)^2 }[/tex]

From MS Excel, we have;

[tex]{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{ }[/tex] = 266.8571

[tex]{\Sigma (x_i - \overline x)^2 }[/tex] = 89.42857

∴ b = 266.8571/89.42857 ≈ 2.984

[tex]a =\overline y- b \cdot \overline x[/tex]

From MS Excel, with the given data, we get;

[tex]\overline y[/tex] = 16.57143

[tex]\overline x[/tex] = 6.285714

Therefore;

a = 16.57143 - 2.984 × 6.285714 = -2.185

Therefore, we get the following regression equation;

[tex]\hat y[/tex] = -2.185 + 2.9·x

Where;

x = The input

[tex]\hat y[/tex] = The output

Therefore, when x = 5, we get;

[tex]\hat y[/tex] = -2.185 + 2.9 × 5 = 12.315

Therefore, the closest to the output when the input is 5, y ≈ 12

Answer:

a.) 64

b.) 2401

Step-by-step explanation:

Answer:

a.) 64

b.) 2401

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

A polygon is a 2D figure with at least three straight sides and angles. A pentagon has five sides and angles, so it qualifies as a polygon.

I hope this helped ^^ Good luck

Answer:

G = (y-x)/2

Step-by-step explanation:

Here, we want to find the value of the angle marked G

To do this, we are going to use one of the important circle angle-arc relationships

Thus, we have it that;

G = 1/2 (mFE - mJH)

G = 1/2 (y-x)

Which is simply

G = (y-x)/2

Answer:

1) ten subtracted from the product of a number and -3 is 29

2) the difference between a number and nine , divided by 4 , is -7

Answer:

x = 3 units

SV = 2 units

Step-by-step explanation:

In[tex] \odot Z[/tex] QR and ST are chords such that:

QR = ST = 4

That is both the chords are equal in measure.

Equal chords are at equal distance from the center of the circle. Therefore,

VZ = UZ

4x - 6 = 6

4x = 6 + 6

4x = 12

x = 12/4

x = 3 units

Since, perpendicular dropped from the center of the circle bisects the chord.

[tex] \therefore SV = \frac{1}{2} ST[/tex]

[tex] \therefore SV = \frac{1}{2} \times 4[/tex]

[tex] \therefore SV = 2\: units[/tex]

Answer:

V≈5.23×10-7m³

Step-by-step explanation:

V=π(d

2)2h=π·(0.014

2)2·3.4×10-3≈5.23389×10-7m³

Answer: 523.1 mm^2

You first want to find the radius for the volume of cylinder formula. You first do 14 divided by 2 to get the radius. You should get 7. Then after you find the radius you then put it into the formula which is v=3.14 x radius^2 x height. The equation with all the numbers from the problem is 3.14 x 7^2 x 3.4. After you put the equation into your calculator you should get 523.1 mm^2.

Answer:

4(1 - 4x + 7y)

Step-by-step explanation:

The only factor common to all three terms is 4.

Factoring out the 4, we get    4(1 - 4x + 7y)

Answer:

answer is A

Step-by-step explanation:

as /_ 1 + /_ 2 =180 degree

and /_6 +/_5 = 180 degree

so they are equal

Answer:

she can buy 4 pizzas and five drinks with 2.50 to spare or 4 pizzas and 6 drinks

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

Comment if u want explanation

Answer:

I believe it is the third one! 60! I hope this helps!

Step-by-step explanation:

Answer:

x=−3 or x=7

Step-by-step explanation:

Step 1: Factor left side of equation.

2(x+3)(x−7)=0

Step 2: Set factors equal to 0.

x+3=0 or x−7=0

x=−3 or x=7

Answer:

(-3,7)

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Let

x = the unknown variable

The difference of 11 and 2 times a number "x" is 1

11 - 2x = 1

Find x

11 - 2x = 1

Add 2x to both sides

11 - 2x + 2x = 1 + 2x

11 = 1 + 2x

Subtract 1 from both sides

11 - 1 = 1 + 2x - 1

10 = 2x

Divide both sides by 2

10 / 2 = 2x / 2

5 = x

x = 5

Answer: 2/3 cups

Step-by-step explanation:

The equation for the graph is y = sin[(1/2)x] after applying the transformation x → (1/2)x option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

A graph of a trigonometric function is shown in the graph:

From the graph of a function, we can see the sin function represented by the graph.

y = sin(x)

To find the equation for the graph we can apply the transformation to the above equation.

From the graph

x =2π

y = 0

x → (1/2)x

y = sin[(1/2)x]

Thus, the equation for the graph is y = sin[(1/2)x] after applying the transformation x → (1/2)x option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

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Step-by-step explanation:

hope it helps............

Answer:

24 inches

Step-by-step explanation:

30 divided 5

that equals 6

then times 6 with 4

you get 24 inches

Answer: The third option

Step-by-step explanation:

(6) (5) is the area of the quadrilateral, therefore you subtract that value by the area of the semi-circle.

to find the area of a semi circle the formula is: (1/2) π ( [tex]r^{2}[/tex])

The radius is 2.5 because the diameter is 5, and the radius is half the diameter.

Answer: C

explanation : It is because the answer supposed to be equivalent to

[tex]\frac{-e}{f}[/tex]  

Instead of this, answer a and b are positive

a is completely positive as it has no negatives at all

b is positive as 2 negative makes up as positive

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

We have given that,

it is possible to form a triangle with the given side lengths.

We have to determine the side of the triangle

[tex]Area \ of \ the \ triangle=\frac{1}{2} \times height\times base[/tex]

No, The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

To learn more about the area of the triangle visit:

https://brainly.com/question/89544

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Answer:

y^2-2y+3

Step-by-step explanation:

use synthetic division

-1| 1  -1  1  3

      -1  2 -3

   1  -2  3 (0)

  y^2 -2y +3