Let the random variable X be equally likely to assume any of the values 1/14, 1/7, or 3/14. Determine the mean and variance of X. The mean is Enter your answer; The mean is 1/7 [Give exact answer in form of fraction.] The variance is Enter your answer; The variance is 0.1190 [Round your answer to four decimal places (e.g. 98.7654).]

Answers

Answer 1

Answer:

1/7 ;

0.0034

Step-by-step explanation:

Given that:

X = 1/14, 1/7, 3/14

n = number of observations = 3

Since, probability of X is equally likely ;

P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3

The mean, m ;

Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)

= 1/42 + 1/21 + 3/42

= (1 + 2 + 3) / 42

= 6 / 42

= 1/7

The variance :

Σx²*p(x) - m²

((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2

= 0.0238095 - 0.0204081

= 0.0034014

= 0.0034


Related Questions

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

7m
6 m
2 m

Answers

136 I think
Hope this helps you
I think this would be 136

Exit Ticket 1/12 (A.2E, A.ZF)
What is the slope of a line perpendicular to a line with slope -6/5?

Answers

Answer:

5/6

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

-6/5

6/5

5/6,,

Which expression can be used to determine how far around a rider has traveled after the Ferris wheel has gone around 8 times?

ANSWER FAST PLEASE

Answers

Answer:

Its A

Step-by-step explanation:

But don't believe me this is wrong

у= 4х + 3
у = -X - 2

Answers

Answer:

x = - 1

Step-by-step explanation:

y = 4x + 3

y = -x - 2

Find x:

4x + 3 = -x - 2

5x + 3 = - 2 (Adding x to both sides)

5x = - 5 (Subtracting 3 from both sides)

x = -1 (Dividing 5 from both sides)

Answer: x = - 1

HELP AGAIN PLEASE 20 POINTS What methods can be used to solve a system of equations and when would you use each? Be sure to include systems with nonlinear equations.​

Answers

Answer:

The three ways to solve a system of equations are substitution, elimination, and graphing. You can use these methods to solve any system of equations, it just depends on which method you use.

Step-by-step explanation:

In the substitution method, you get one variable isolated on one side of an equation, then use that equation to substitute the variable with what it's equal to into the second equation to solve the equation.

In the elimination method, you get all the variables in your equations together one side, and the constant on the other. Then, multiply or divide one or two equations to get one variable with the same coefficient for both equations (be sure to multiply or divide both sides to each equation), and add or subtract the equations together to get rid of that variable (make sure to add the left sides of the equations together and the right sides of the equations together, no the opposite!) and solve the equation.

In the graphing method, you solve for y in each equation, graph both equations on a coordinate plane, and find the point of intersection for both lines to solve the equation (For example, if the point of intersection is (2, 7), the answer to your equation would be X = 2 and Y = 7).

Pls help I’m failing

Answers

Answer:

-7

Step-by-step explanation:

you divide both sides by -2 and 14/-2 is equal to -7

Solve the system using the substitution method

x = -6y - 4
6x - 12y = 24

Answers

Answer:

x = 2, y = -1

Step-by-step explanation:

We have a solution system, x = -6y - 4 and 6x - 12y = 24.

Now, since are not only asked to use the substitution method, but at the same time know the value of x, let's plug the first system into the second.

x = -6y - 4

6(-6y - 4) - 12y = 24

-36y - 24 - 12y = 24

-48y - 24 = 24

Add 24 to both sides :

-48y = 48

Divide -48 by both sides :

y = -1

Now that we have y, we can replace it into the second system again to get x.

6x - 12(-1) = 24

6x + 12 = 24

Solve for x by first getting rid of 12 from both sides :

6x = 12

Divide 6 by both sides :

x = 2

Therefore, x = 2 and y = -1

Alr, time to fight pico.
3, 2, 1, GO
← ↓ ↑



ez, thats light workkk
← ↓ ↑




← →
↓ ↑


← →
↓ ↑





↑ →
↓ →
← ↓


okok this is getting difficult


↓ →
↑ →
← ↑
dang i messed up but still, LOOK AT THE BAR AYYYY

lets goooo.

Answers

Answer:

niceeeeeeeeeeeeeeeee!

Step-by-step explanation:

Find the length of line segment KH if K(-1,2) and H(3,5). Round to the nearest tenth if needed

Answers

   i think that that the answer is 13   Step-by-step explanation:

kiara is paid 76.95 twice a month.how much money does she make in a year

Answers

Answer:

1,846.8

Step-by-step explanation:

76.95x2= 153.9

153.9x12= 1,846.8

what is the surface area of this shape?

Answers

Answer:

361.88 in.²

Step-by-step explanation:

Surface area of triangular prism = 2(B.A) + PH

Where,

B.A = base area of triangular base = ½*bh = ½*8*6 = 24 in.²

P = perimeter of triangular base = 7.21 + 7.21 + 8 = 22.42 in.

H = height of the prism = 14 in.

Surface area of the prism = 2(24) + 22.42×14

= 48 + 313.88

= 361.88 in.²

Evaluate 2 to the ninth power. Help plz

Answers

2^9 = 2 x 2 x2 x 2 x 2 x 2 x2 x 2 x 2 = 512

2 ^9 = 512

nesesito ayuda con este problema ​

Answers

Answer:

Step-by-step explanation:

I KNOW SPEAK SPANISH GO TO A MEXICAN SITE NOT A AMERICAN SITE

hi sorry i don’t speak spanish :(

x=5
y=52


since AB and BC are the same length, you know it is an isosceles triangle
so two of the angles are the same
angle A and angle C are the same
so y = 52
A = C :. y = 52


all angles of a triangle add to 180
so add 52 and 52 to get 104
subtract 104 from 180 to get 76
set 14x + 6 = 76
14x = 70
x = 5

find the solution
[tex]3(2x + 12) = 6(x + 6)[/tex]

Answers

Infinite Solution - The equation are the same

PLEASE ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLYY PLS AND TY​

Answers

Answer:

it is a function

Step-by-step explanation:

Domain is 7 and the range is all the x values

What is the decimal equivalent for 139%

Answers

Answer: 1.39

Step-by-step explanation:

Hope it helps! Mark me brainliest.

4 1/6 + 2 3/4 too many answer not sure which is correct

Answers

Answer:

6.91666666667

Step-by-step explanation:

4 1/6 turn it into an improper fraction so it will become 10/6
2 3/4 turn it into an improper fraction so it will become 10/4

4 1/6 = 10/6
2 3/4 = 10/4 now add them both up

10/6 +10/4 = 30/12 + 20/12
The answer will be 40/12 simplifying it to 3 and 1/3

Pls help Find the measure of angle B​

Answers

Answer:

∠b = 61°

Step-by-step explanation:

∠b + 29° = 90°

∠b = 90° - 29°

∠b = 61°

4. MARBLES Virginia's
mother gave her marbles for
her birthday. Virginia lost 13
of them. If she has 24 marbles
left, write and solve an
equation to find how many her
mother gave her.

Answers

Answer:

37

Step-by-step explanation:

If she has 24 left, and lost 13, you add 13 and 24 to find the original amount.

Virginia's mother gave her 37 marbles for her birthday.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Virginia's mother gave her marbles for her birthday.

Let number of marbles = x

Here, Virginia lost 13 of them and she has 24 marbles left.

So, We get;

⇒ x - 13 = 24

Solve for x;

⇒ x = 24 + 13

⇒ x = 37

Thus, Virginia's mother gave her 37 marbles for her birthday.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

The width of a rectangle, in centimeters, is 17 less than 4 times its length, in centimeters. The area
of the rectangle is 15 square centimeters. What is the width, in centimeters, of the rectangle?

Answers

Answer:

Step-by-step explanation:

W = 4L-17

LW = 15

L(4L-17) = 15

4L^2-17L-15= 0

L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4

-3/4 is an extraneous solution

L = 5 cm

W = 4L-17 = 3 cm

14 masons can build 2 houses in 6 months. Find how many houses 21 masons can build in the same duration.

Answers

Answer:

3 houses

Step-by-step explanation:

2 houses = 14 masons

1 house = 14 ÷ 2 = 7

Find out what 21 ÷ 7 is, which is 3.

So 21 masons can build 3 houses in 6 months.

Please answer all of them
If 3 hippos eat 5 pumpkins, how many pumpkins per hippo is that?0.6 pumpkin per hippo
If there are 9 hippos, how many pumpkins do you need?
If 3 hippos eat 5 pumpkins, how many hippos per pumpkin is that?
If you have 30 pumpkins, how many hippos can you feed?

Answers

I think the answer is 57

Write the following ratio as a reduced fraction. Simplify your answer when possible: 22 to 42

Answers

11/21 is the only right answer

Answer:

11 / 21

Step-by-step explanation:

The ratio 22 to 42 can be written as: 22 : 42, and in fraction form as:

22 / 42  in this fraction we can cancel a common factor of 2 from numerator and denominator, leaving us with the reduced fraction:

2 * 11 / (2 *21) = 11 / 21

The length of a rectangle is three times the width. The perimeter of the rectangle is 32 inches. What is the area of the rectangle (in square inches)?

Answers

Answer:

48 square inches

plz mark brainliest

Step-by-step explanation:

l= 3w

perimeter = 2(l+w) =2(3w+w) = 2(4w)= 8w

32=8w

w=32/8 =4 inches

l= 3(4) =12 inches

area = l×w = 12×4 = 48 square inches

HELP WITH MY MATH PLEASE

Answers

The angels across from each other are the same. That makes the sides and the interior lines the same as well. So that means the lines cannot cross each other. They are parallel

Answer:

because im god and god is good and 9 x 10 is 99999

Step-by-step explanation:

A set of equations is given below:

Equation A: y = x + 9
Equation B: y = 2x + 1

What is the solution (
,
) to the given set of equations?

Answers

Answer:

comparing both equation we get,

2X+1=X+9

or, X=8

Y=X+9

or, Y=17

therefore the required solution is (8,17)

How do I do this? Please only the best help.

Answers

Answer:

77.5 degrees and 102.5 degrees

Step-by-step explanation:

Given that : one angle is25 degrees greater than another. Let the two angles be represented by a and b. Since one angle is 25 degreess greater than another, then:

b = a +  25 degrees

But;

a + b = 180 degrees  (sum of angles on a straight line)

a + a + 25 degrees  = 180 degrees

2a = 180 degrees - 25 degrees

a =  77.5 degrees

b = 77.5 degrees  + 25 degrees  = 102.5 degrees

Therefore the measures of all angles formed by the lines is either 77.5 degrees  or 102.5 degrees.

b. , using the
Pythagorean Theorem,
show that.
C. Solve for X

Answers

X=20
WORK:

100+ 3x +x=180
4x+100=180
-100 -100
4x=80
divide both sides by 4
x=20

PLEASE HELP ME QUICKLY PLEASE SOMEBODY I WILL GIVE BRAINLIEST

Answers

Answer:

.

Step-by-step explanation:

WILL MARK BRAINLYIST use the figure to determine each angle measure

Answers

Answer:

1. 60  2. 65  3. 115  4. 55  5. 120  6. 60

Step-by-step explanation:

Hope it helps!

Other Questions
just tell me which one not to select (giving Brainly) what is 3/9 x1/2 ireally need help If two kids kick the ball at the same time what is the motion on the ball will do? What is the world's smallest country? who broke Darry's ribs after he slashed their tires?(book: the outsiders) Which sentence is punctuated correctly? I need help with this please 3. Not all of the founders agreed with Jefferson's view on the separation of church and state. Do you agree with Jefferson or with hisopponents? Explain. please help me im struggling :cccWhich two details from the passage best support the inference in Part A?"A mechanical doll could have done what she did.""It had begun just as all her other days began: bells at dawn, maids running in and out to hurry her into her clothes, and the Assistant Chamberlain barking a schedule""She wouldn't get to do so, of course, but she could hope. She always hoped.""She was decoration, giving people a bit of the royal glamor without ever doing any real work." 1. There are five questions on a multiple-choice test. Each question has four possibleanswers. Savanna did not study for the test, randomly picks the answers, and submitsthe exam. Find the probability that:Savanna answers the first question correctly.b. Savanna answers the first, second, third, fourth, and fifth questions correctly. Which of the following is not true about vitamins?A. Vitamins assist in forming bone and tissue.B. Vitamins are only found in plants.C. Vitamins help your cells function properly.D. Vitamins help the body use proteins, carbohydrates, and fats. Pure acetic acid is often called glacial acetic acid because it is purified by fractional freezing at its melting point of 16.6 C. At 1 atm, a flask containing several moles of acetic acid at 16.6 C is briefly lowered into an infinitely large ice-water bath. When it is removed it is found that exactly 1 mol of acetic acid has frozen. Given: H_fusion,acetic acid = 11.45kJ/mol and H_fusion, H2O= 6.01 kJ/mol.Required:a. What is the change in entropy of the acetic acid? b. What is the change in entropy of the water bath? c. Now consider that the water bath and acetic acid are the same system. What is the entropy change for the combined system? Is the process reversible or irreversible? Why? How can you minimize burn and fire hazards in the kitchen?AWear tight-fitting clothing when working near the stove.BAll of these answer choices are correct.Turn the pan's handle toward the back of the stove.DKeep dish towels and paper towels off of and away from the stove. Which of the following was not an effect of the United States joining the war?A. The war tipped the balance of power in favor of the allies , allowing them to win the war B.The war cost so much money that it plunged the U.S. into the Great Depression . C. The war boosted the United States ' power and prestige making them a world power for the first time. D. The war emboldened President Wilson to suggest a League of Nations to prevent wars like this from happening again . PLEASE HELP QUICKK!!Suppose (-7, -3) is reflected across the x-axis, and then the y-axis. what will be the new coordinates? Can someone help me? PLZ HELP ME I BEG OF YOU!?! Mr. Alvarez was charged in the Central District of California with two counts of falsely representing that he had been awarded the Medal of Honor in violation of the Stolen Valor Act of 2005. Which branch of government would determine if he was guilty or innocent of this crime?Question 3 options:Judicial Executive Legislative John's ordinary step covers 18 inches. How many steps does he take in walking 10 yards? Which of the following is not a goal of a narrative essay?to illustrate a universal themeto make a point about lifeto disguise any obvious point of viewto use traditional storytelling methods to interest readers