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

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Infinite Solution - The equation are the same

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

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Answer:

it is a function

Step-by-step explanation:

Domain is 7 and the range is all the x values

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?

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I think the answer is 57

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).

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)

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dang i messed up but still, LOOK AT THE BAR AYYYY

lets goooo.

Answers

Answer:

niceeeeeeeeeeeeeeeee!

Step-by-step explanation:

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

What is the decimal equivalent for 139%

Answers

Answer: 1.39

Step-by-step explanation:

Hope it helps! Mark me brainliest.

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

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:

Pls help Find the measure of angle B​

Answers

Answer:

∠b = 61°

Step-by-step explanation:

∠b + 29° = 90°

∠b = 90° - 29°

∠b = 61°

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

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:

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

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.

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

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

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

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

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

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,,

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!

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Answers

Answer:

.

Step-by-step explanation:

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

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

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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

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

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.

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

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