Find the variance and standard Deviation of the probability distribution of the random variable x, which can take the values 1,2,3 given that p(1) = 10/33 p(2) = 1/3 p(3) =12/33?

Answers

Answer 1
what are the given answers


Related Questions

kiara downloaded 264 pictures from her cellphone to her computer. these pictures took up 528 megabytes of space on her computer. each picture took up the same amount of space. how many megabytes do 35 of these picture take up

Answers

Answer:

"70, because 528 divides by 264 is 2, which means each picture is 2 megabytes, so therefore 35x2 = 70"

Step-by-step explanation:

this is good

70 megabytes can do 35 of these picture take up.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that kiara downloaded 264 pictures from her cellphone to her computer. These pictures took up 528 megabytes of space on her computer.

Each picture took up the same amount of space.

We have to find that how many megabytes do 35 of these picture take up.

therefore, we have to first divide the 528 by 264 then multiply it with 35.

So, we get

= 528/264 x 35

= 35 x 2 = 70

Hence, 70 megabytes can do 35 of these picture take up.

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graph x+3<1/2(4x-12)<20

Answers

[tex]x+3 < \dfrac{1}{2}(4x-12) < 20\\\\x+3 < 2x-6 < 20[/tex]

[tex]x+3 < 2x-6\ \wedge\ 2x-6 < 20\\\\x-2x < -6-3\ \wedge\ 2x < 20+6\\\\-x < -9 \ \wedge\ 2x < 26\\\\x > 9\ \wedge\ x < 13[/tex]

Look at the picture.

Find total cost $20.20 and 40% off , tax is 6%

Answers

I think 12.85 dollars

The width of a large, rectangle-shaped tree farm is 1.9 kilometers. The best length of the farm is 4.4 kilometers. What is the best estimate of the area of the farm? Estimate 1.9 x 4.4

Answers

To make estimates, we usually round the numbers the nearest integer.
Since 1.9 is closest to 2 than it is to 1, the nearest integer of 1.9 is 2.
Similarly, since 4.4 is closest to 4 than it is to 5, the nearest integer of 4.4 is 4.

Now, to estimate the area of the farm, we are going to multiply our two integers:
Estimated Area of the Farm= [tex]2[/tex]x[tex]4=8[/tex]

Since 8 is between 4 and 10, we can conclude that the best estimate of the area of the farm is: between 4 and 10

Answer:

between 4 and 10

Step-by-step explanation:

i did the quiz.

Please help as soon as possible!!!

Answers

y=2x b/c the shrimp are twice the number of the pound so to find the next part substitute the 5 for the x

The answer is X • 24

Y=x•24

You and a friend stand back to back. You run 20 feet forward then 15 feet to the right. At the same time, your friend runs 16 feet forward then 12 feet to her right. She stops and hits you with a snowball. How far does your friend throw the snowball?

Answers

To get the distance the friend threw the ball to hit me will be given by Pythagorean theorem. 

From the figure below D is my position E is friend's position. The distance we are estimating is ED
ACE  and ADB are assumed to be right angles. 

c²=a²+b²
Thus the length of the hypotenuse made from the triangle movement I moved will be:
c²=20²+15²
c²=400+225
c²=625
c=25 ft

Length of the hypotenuse made by my friend will be:
c²=16²+12²
c²=256+144
c²=400
c=20 ft
The total distance the ball will be thrown will be:
20+25=45ft


What is the surface area of the regular pyramid

Answers

The total area is the sum of the area of the base (65 m^2) and six times the area of one of the triangular sides.  This area (of one side) is (1/2)(base)(height), or (1/2)(5)(12), so the total area of the sides is 6(1/2)(5)(12) = 180 m^2.  Thus, the total area is 65 m^2 + 180 m^2 = 245 m^2.

How much greater is the median number of pairs of shoes in the inventory at the Golf Pro Shop than the median number of pairs of shoes in the inventory at the Tennis Pro Shop?


Please help, Thanks!

Answers

the median if golf pro shop is 20 pairs greater than tennis pro shop

a suitcase measures 24 inches long and the diagonal is 30 inches long how much material is needed to cover one side of the suitcase

Answers

I believe you're supposed to solve for the other missing side. If you know a side (a) and the diagonal or also known as the hypotenuse (c), you will be able to solve for the other side using the Pythagorean theorem.
a^2+b^2=c^2 Substitute the values for a and c
24^2+b^2=30^2 Solve for the powers
576+b^2=900 Subtract 576 from both sides
b^2=324 Solve for the root of 324
18=b
You would need 18 inches of material to cover one side of the suitcase.

The material i.e. needed should be 18.

Given that,

a suitcase measures 24 inches long and the diagonal is 30 inches

Based on the above information, the calculation is as follows:

[tex]a^2+b^2=c^2 \\\\ 24^2+b^2=30^2\\\\ 576+b^2=900 \\\\ b^2=324 [/tex]

18=b

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The center of the inscribed circle of Triangle ABC is point , and the center of the circumscribed circle of Triagnle ABC is point .

Answers

Answer:

Part A: The center of The inscribed circle is the point S

Part B: The center of The circumscribed circle is the point P

Step-by-step explanation:

Part A: Find the center of The inscribed circle of ΔABC

The inscribed circle will touch each of the three sides of the triangle in exactly one point,

The center of the inscribed circle is the point of intersection between the angle bisectors of the triangle.

So, According to the previous definition:

A₁A₂ and B₁B₂ are the angle bisectors of ∠A and ∠B

So, the inter section between them is the center of The inscribed circle

So, the center of The inscribed circle is the point S

=====================================================

Part B: Find the center of The circumscribed circle of ΔABC

The circumscribed circle is the circle that passes through all three vertices of the triangle.

The center of the circumscribed circle is the point of intersection between the perpendicular bisectors of the sides.

So, According to the previous definition:

P₁P₂ and Q₁Q₂ are the perpendicular bisectors of AB and BC

So, the inter section between them is the center of The circumscribed circle

So, the center of The circumscribed circle is the point P

Graph the solution to the scenario by dragging and dropping a circle/arrow onto the number line.



Billy's plant grows at least 2 inches a month.

Answers

You would choose the arrow pointing to the right with a solid circle, and place it on the number line at the number positive 2.

Since his plant grows "at least" 2 inches per month, this means that it can grow that much or more.  This is the same as the inequality "greater than or equal to."

Since the plant can grow 2 inches per month, the circle is filled in at 2.  Since it can grow more than this, the arrow points to the right, which is the numbers greater than 2.

Answer:

The line going to the right with a filled in circle plotted on 2.

Step-by-step explanation:

I did the review test and got it right

once again super confused

Answers

Well, you see the yellow colored "face" Think of it as area. So we got a smaller square next to it right...just ignore it and look at the yellow square. So, how do you find the area? Length times width right? So, since this cube has 4 inches all over it, what do you think you have to do if a square has equal sides/measurements. You multiply 4*4, which is 16! NOTE: It is NOT asking for volume! Hope this helps!

What is the correct meaning of the word guarantor ?
During the new deal of the 1930s the federal government acted as a guarantor of economic security
A) one who provides assurance of something
B) one who is the original source of something
C) one who gradually reduces something
D) one who rebuilds or restores something

Answers

The answer is A) one who provides assurance of something. A guarantor is someone or something that guarantees something, hence the name guarantor. In this case, the federal govt. is guaranteeing economic security. Hope this helps:)

The words and their correct definitions are:

Restoration - To return something to its original state

Method - A way of doing something

Annexation - To legally take control of another territory and add it to one's own

Protectorate - A country that is defended or protected by another country

Modernize - To begin to use the newest technology or knowledge

What do the words mean?

A protectorate refers to a nation that is protected by another nation such as Bechuanaland before 1966. Modernization allows for people to use newer methods of doing things.

Methods are how people go about doing something and annexing a territory means adding it to a nation's territory like the Russians did with the Crimea.

Hence, The words and their correct definitions are:

Restoration - To return something to its original state

Method - A way of doing something

Annexation - To legally take control of another territory and add it to one's own

Protectorate - A country that is defended or protected by another country

Modernize - To begin to use the newest technology or knowledge

Find out more on the words mean at

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complete question:

Words to know

Match each vocabulary word with the correct definition.

Restoration

A country that is defended or

protected by another country

Method

To legally take control of another

territory and add it to one's own

Annexation

OOOOO

To return something to its original

state

Protectorate

To begin to use the newest

technology or knowledge

Modernize

A way of doing something

A warden meets with 23 prisoners. He tells them the following:

Each prisoner will be placed into a room numbered 1-23. Each will be alone in the room, which will be soundproof, lightproof, etc. In other words, they will NOT be able to communicate with each other.
They will be allowed one planning session before they are taken to their rooms.
There is a special room, room 0. In this room are 2 switches, which can each be either UP or DOWN. They cannot be left in between, they are not linked in any way (so there are 4 possible states), and they are numbered 1 and 2. Their current positions are unknown.
One at a time, a prisoner will be brought into room 0. The prisoner MUST change one and only one switch. The prisoner is then returned to his cell.
At any time t, given some N>0, there exists a finite t_0 by which time every prisoner will have visited room 0 at least N times. (In other words, there is no fixed pattern to the order or frequency with which
prisoners visit room 0, but at any given time, every prisoner is guaranteed to visit room 0 again. If you’re still confused by this statement, ignore it, and you should be ok).
At any time, any prisoner may declare that all 23 of them have been in room 0. If right, the prisoners go free. If wrong, they are all executed.
What initial strategy is 100% guaranteed to let all go free?

Answers

The prisoners could do a pattern that could signal who has already been in the room. So for example, one light off, both lights off, one light on, both lights off. But with left and right lights to make the sequence last as long as possible. Then after that sequence to have the last one be the signal that everyone has been in there. I dunno this is tricky lol

Which statement describes if there is an extraneous solution to the equation √x-3 = x-5? A. there are no solutions to the equation, B. the extraneous solution is x = 7, C. the valid solutions are x = 7 and x = 4, or D. the extraneous solution is x = 4

Answers

Remember that an extraneous solution of an equation, is the solution that emerges from solving the equation but is not a valid solution.
 
Lets solve our equation to find out what is the extraneous solution:
[tex] \sqrt{x-3} =x-5[/tex]
[tex](\sqrt{x-3})^2 =(x-5)^2[/tex]
[tex]x-3=x^2-10x+25[/tex]
[tex]x^2-11x+28=0[/tex]
[tex](x-4)(x-7)=0[/tex]
[tex]x-4=0[/tex] and [tex]x-7=0[/tex]
[tex]x=4[/tex] and [tex]x=7[/tex]

So, the solutions of our equation are [tex]x=4[/tex] and [tex]x=7[/tex]. Lets replace each solution in our original equation to check if they are valid solutions:
- For [tex]x=7[/tex]
[tex] \sqrt{x-3} =x-5[/tex]
[tex]\sqrt{7-3} =7-5[/tex]
[tex] \sqrt{4} =2[/tex]
[tex]2=2[/tex]
We can conclude that 7 is a valid solution of the equation.

- For [tex]x=4[/tex]
[tex] \sqrt{x-3} =x-5[/tex]
[tex]\sqrt{4-3} =4-5[/tex]
[tex] \sqrt{1} =1[/tex]
[tex]1 \neq 1[/tex]
We can conclude that 4 is not a valid solution of the equation; therefore, 4 is a extraneous solution.

We can conclude that the correct answer is: D. the extraneous solution is x = 4

Answer:

  D. the extraneous solution is x = 4

Step-by-step explanation:

You want to know the statement that describes if there is an extraneous solution to the equation √x-3 = x-5.

Solution

A straightforward (blind) solution to the problem proceeds by squaring both sides and solving the quadratic:

  x -3 = x² -10x +25
  x² -11x +28 = 0
  (x -7)(x -4) = 0   ⇒   x = 4 or x = 7

When you try these solutions in the original equation, you get ...

  √(4 -3) = 4 -5   ⇒   1 = -1 . . . . . x = 4 is an extraneous solution, choice D

  √(7 -3) = 7 -5   ⇒   2 = 2 . . . . . x = 7 is the solution

Domain

The square root function is only defined for non-negative values, so the left side of the equation is only defined for x ≥ 3.

The left side of the equation produces non-negative values. The right side of the equation will have non-negative values only for x ≥ 5.

Considering the domain of the equation is x ≥ 5, we know that x = 4 cannot be a solution. It can be ignored. This value only arises because squaring the radical allows values of x that require the root to be negative.

__

Additional comment

The attached graph shows the only solution is x=7, the value that makes the difference between the sides of the equation be zero. We find it useful to write radical equations in the form f(x) = 0, making the x-intercepts of the graph of f(x) be the solution(s). The graphing calculator does not graph the function where it is undefined, so the domain restrictions are automatically accommodated.

Can someone answer 14,15 and 16? Thank you!

Answers

14= 4 pi/6 pi = 2/3
15 = 8 pi/10 pi = 4/5
16 = no

Sal scored g goals this season. Ben has scored four times as many goals as Sal. Chun has scored three fewer goals than Ben. a. 9g - 3 c. 3g - 9 b. g - 4g d. 3g + 9

Answers

Sal : g

Ben : 4g

Chun : 4g - 3

Total :
[tex]g + 4g + 4g - 3 = 9g - 3[/tex]

Answer is A.

Hope this helps. - M

complete question:

Write an expression in simplest form that represent the total amount.

Sal scored g goals this season. Ben has scored four times as many goals as Sal. Chun has scored three fewer goals than Ben.

a. 9g - 3

b. 3g - 9

c. g - 4g

d. 3g + 9

Answer:

a. 9g - 3

Step-by-step explanation:

Sal scored g number of goals this season . Ben has scored 4 times as many goals as Sal . Chun has scored 3 fewer goals than Ben. There goals can be expressed as follows

Sal's goal = g

Ben's goal = 4(g) = 4 × g = 4g

Chun's goal = 4g - 3

sum of their goals = g + 4g + (4g - 3)

sum of their goals = g + 4g + 4g - 3

sum of their goals = 9g - 3

The probability of selecting the letter Z at random from the letters of the alphabet is 1 half 26.

A.Theoretical
B. Empirical

Answers

Answer A: Theoretical.

There is 1 "z" in the alphabet. Therefore the probability of choosing a "z" is 1/26

24=12 18=9 14=7 8=4 6=?

Answers

6 would be equal to 3. the numbers are being divided by 2 every time
3 is the answer as the first number before the equal sign is doubled the amount after the equal sign

Help..please simplify this

Answers

-10 i hope you got it right

The answer is i10


Because a negative square root is an impossible number, you use "i". Then you just solve for the square root of 100, which is 10.

The scale on a map is 1 cm = 30 km. The map distance between two towns is 3.5 cm. What is the actual distance between the two towns?

Answers

the distance is 75 km

Using unitary method, the actual distance between the two towns is 105 km.

What is unitary method?

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

1 cm = 30 km

3.5 cm = 30 * 3.5 = 105 km

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If the volume of a sphere is 36 cubic units, what is the radius?

A. 3 units
B. 4√3 units
C. 9 units

Answers

The radius of the sphere is 2.048 units .

The volume of a sphere is :

4/3πr³Volume = 36

substituting into the formula:

36 = 4/3πr³

36 × 3 = 4 πr³

108 = 4πr³

πr³ = 27

r³ = 27/π

r³ = 8.59436

r = 2.048

Hence, the radius of the sphere is 2.048 units .

Please help I’m stuck.

Answers

I'm pretty sure it is B

David reads 80 a day
Karen reads 100 a day
Rick reads 65 a day

100 + 80 + 65 = 245.

So using that number, you could conclude the answer is B

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HELP!!!!!! THIS IS GEOMETRY!

Find the perimeter of the shape below:

A four sided figure RSTU is shown. R is located at negative 1, 3. S is located at negative 2, 7. T is located at 2, 5. U is located at negative 1, 5

Answers

Answer:

13.6 is the correct answer

Step-by-step explanation:

got it right on the test

Final answer:

To find the perimeter of the given quadrilateral, calculate the distance between each pair of consecutive points using the distance formula and sum these distances. The perimeter is the sum of √17 + √20 + 3 + 2 which is 13.59 units.

Explanation:

The question you've asked involves finding the perimeter of a four-sided figure, known as a quadrilateral, with vertices R, S, T, and U located at (-1, 3), (-2, 7), (2, 5), and (-1, 5) respectively. To find the perimeter of this shape, we need to calculate the distance between each pair of consecutive vertices and sum these distances up.

Firstly, use the distance formula – d = √((x2 - x1)² + (y2 - y1)²) – to calculate the length of each side:

RS = √((-2 - (-1))² + (7 - 3)²) = √(1 + 16) = √17=4.12

ST = √((2 - (-2))² + (5 - 7)²) = √(16 + 4) = √20 = 4.47

TU = √((-1 - 2)² + (5 - 5)²) = √(9 + 0) = 3

UR = √((-1 - (-1))² + (3 - 5)²) = √(0 + 4) = 2

Finally, sum these distances to find the perimeter: √17 + √20 + 3 + 2 which comes out to be 13.59 units. The exact perimeter involves square roots since we're dealing with irrational distances.

Can anyone help? Please

Answers

652 - 48 adjusts to 650 - 50
650-50 = 600

652-48 should go to 650-50 which would give you 600. Hope this helps!!

How many sides does a regular polygon have if each exterior angle measures 30?

Answers

Sum of exterior angles of every polygon irrespective of number of its sides is 360o . As it is a regular polygon, all exterior angles are equal and are 30o . Hence number of sides of the polygon is 360o30o=12.

The number of sides that the polygon with each exterior angle measuring 30° has is 12.

What is a polygon?

A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of all the exterior angles of a regular polygon is always equal to 360°. Therefore, the measure of an exterior angle for a regular polygon is given as,

[tex]\theta = \dfrac{360^o}{n}[/tex]

where n is the number of sides.

Given that the measure of the exterior angle is 30°. Therefore, the number of sides will be,

[tex]\theta = \dfrac{360^o}{n}\\\\ 30^o = \dfrac{360^o}{n}\\[/tex]

n = 12

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What are the similarities and differences between these data sets in terms of their centers and their variability?
Data Set A: 1, 2, 4, 1, 9
Data Set B: 2, 7, 8, 12, 1
Select from the drop-down menus to correctly complete the statements.

Comparing the centers of the data sets, the median for Data Set A is the median for Data Set B. Further, based on the range, Data Set is more variable

Answers

Data set A have a median of 2, mean of 3.4, min of 1 and max of 9. range of 8
Data set B have a median of 7, mean of 6, min of 1 and max of 12, range of 11
so Data set B is much bigger than data set A

Answer:

The answer is less than and B

Step-by-step explanation:

took the test

wheat grass is grown in planters that are 3 1/2 inch by 1 3/4 inch. if there is a 6x6 array of these planters with no space between them what is.the area covered by the planter ?

Answers

about 1350.56 will be cover
[tex] \frac{7}{2} \times \frac{7}{4} = \frac{49}{8} [/tex]
[tex] \frac{49}{8} \times 6 = 36.75[/tex]
[tex]36.75 \times 36.75 = 1350.5625[/tex]

The area covered by the planter is 220¹/₂ in² = 220,5 in²

Further explanation

To solve the above questions, we need to recall some of the formulas as follows:

Area of Square = (Length of Side)²

Perimeter of Square = 4 × (Length of Side)

Area of Rectangle = Length × Width

Perimeter of Rectangle = 2 × ( Length + Width )

Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Rhombus = 4 × ( Length of Side )

Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )

Let us now tackle the problem !

Given:

Length of Rectangle = L = 3¹/₂ inches

Width of Rectangle = W = 1³/₄ inches

Unknown:

Area of Plainter = A = ?

Solution:

This problem is about Area of Rectangle.

[tex]\texttt{Area of Rectangle} = \texttt{Length} \times \texttt{Width}[/tex]

[tex]\texttt{Area of Rectangle} = \texttt{Length} \times \texttt{Width}[/tex]

[tex]\texttt{Area of Rectangle} = 3\frac{1}{2} \times 1\frac{3}{4}[/tex]

[tex]\texttt{Area of Rectangle} = \boxed {6\frac{1}{8} ~ \texttt{in}^2}[/tex]

There is a 6 × 6 array of these planters with no space.

[tex]\texttt{Total Area Covered} = 6 \times 6 \times \texttt{Area of Rectangle}[/tex]

[tex]\texttt{Total Area Covered} = 6 \times 6 \times 6\frac{1}{8}[/tex]

[tex]\texttt{Total Area Covered} = \boxed {220\frac{1}{2} ~ \texttt{in}^2}[/tex]

Learn moreThe perimeter of a polygon : https://brainly.com/question/6361596The perimeter of a rectangle : https://brainly.com/question/7619923The perimeter of a triangle : https://brainly.com/question/2299951

Answer details

Grade: College

Subject: Mathematics

Chapter: Two Dimensional Figures

Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width

A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 3.5 centimeters long. If the area of the section of glass is 8.1 square centimeters, how tall is the section?

Answers

Final answer:

The height of the trapezoidal section is approximately 3.6 centimeters.

Explanation:

To find the height of the trapezoidal section, we can use the formula for the area of a trapezoid: A = 1/2 * (top base + bottom base) * height. In this case, the top base is 1 centimeter and the bottom base is 3.5 centimeters. We are given that the area is 8.1 square centimeters. Plugging these values into the formula:



8.1 = 1/2 * (1 + 3.5) * height8.1 = 2.25 * heightheight = 8.1 / 2.25height ≈ 3.6 centimeters



Therefore, the height of the trapezoidal section is approximately 3.6 centimeters.

Final answer:

The height of the trapezoidal section of stained glass is calculated using the area formula for trapezoids. With the given measurements, the height is found to be 3.6 centimeters.

Explanation:

To find the height of a trapezoid section in a stained glass window with a top base of 1 centimeter, a bottom base of 3.5 centimeters, and an area of 8.1 square centimeters, we use the formula for the area of a trapezoid, which is Area = 1/2 × (base1 + base2) × height. In this case, base1 is the top base, base2 is the bottom base, and Area is already given as 8.1 cm2.

Plugging the values into the formula gives us:

8.1 = 1/2 × (1 + 3.5) × height

8.1 = 1/2 × 4.5 × height

8.1 = 2.25 × height

To find the height, we divide both sides by 2.25:

height = 8.1 / 2.25

height = 3.6 centimeters

Thus, the height of the trapezoid section is 3.6 centimeters.

What percent of the June budget was for babysitting and movies (to the nearest tenth)?

Answers

The monthly expenses are found below:


Mortgage - $752 Tim's Chevron - $23Johnny's Allowance - $8Electric - $176Jenny-babysitting - $12Movie - $14Dry Cleaning - $41Tithe - $85,Credit Card - $150Food - $101Phone - $45Water - $16 Car - $272 


Adding all the expenses, will give us a total of $1695.
 
To get the percent which is allocated for movie and the baby sitting:


Add the amount for the two then divide that to the total then multiply it by 100%
= 12 + 14 / 1695 x 100%
= 26 / 1695 x 100%
= 0.015339233 x 100%

=1.5%
The answer is 1.5%



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