A bag contains five tokens numbered 2, 3, 6, 7, and 8. Two tokens are taken in succession out of the bag without replacement. A) Create the probability distribution for "x" being the number of odd numbered tokens drawn. B) What is mean and variance of the probability distribution?

Answers

Answer 1

Answer and Step-by-step explanation:

A) Probability of taken two odd numbered token without replacement:

P(3) = 2/5 = 0.4

P(7) = 1/4 = 0.25

Construct a probability distribution:

 X          3          7

p(X)      0.4      0.25

B) Mean of the probability distribution:

E(X) = ∑xp

E(X) = 3*0.4 + 7*0.25

E(X) = 2.95

Variance of the probability distribution:

V(X) = [tex]\Sigma X^{2}p - [E(X)]^{2}[/tex]

V(X) = [tex]3^{2}*0.4+7^{2}*0.25 - (2.95)^{2}[/tex]

V(X) = 7.1475

Mean and variance of the probability distribution are 2.95 and 7.145, respectively.


Related Questions

PLEASE HELP! WHOEVER ANSWERS BEST WITH EXPLANATION BECOMES BRAINLIEST! Maria is conducting a survey to determine the ages of 100 dogs in an animal shelter. Which of the following questions is an appropriate statistical question for this survey? What is the number of dogs in the shelter that are more than 5 years old? What is the average number of years a dog stays at the shelter? How old is the youngest dog in the animal shelter? How old is each dog in the animal shelter?

Answers

Answer:

The answer is either A or B. Answer D is not appropriate for a survey of 100 dogs. Answer C, is also not correct, because it doesn't exactly matter out of 100 dogs. Answer A, is more accurate, then Answer B, because it is more of a statistical question, as in surveys, we want statistics. Thus, I must go with A) - What is the number of dogs in the shelter that are more than 5 years old?

Step-by-step explanation:

Answer:

the average

Step-by-step explanation:

option1: will help you get a population of those above five only therefore frequency for a large group of above five years which you can't analyse

2: you are able to see e.g average is 25yrs so your classes can start from e.g 0 to at most 26yrs therefore clearly defined classes

3 and 4: help you either get upper and lower limits but the other respective limits are infinite

64. Find the coordinates of the midpoint of a segment with endpoints (7.-1) and (-1, 5).
(x₂+x2 yı+Y2
Midpoint formula
2

Answers

Answer:

The coordinates of the midpoint of the segment is (3,2)

Step-by-step explanation:

To find the coordinates of the midpoint, we use the midpoint formula which is;

(x1+x2/2 , y1+y2/2)

Where;

x1 = 7

x2 = -1

y1 = -1

y2 = 5

= (7-1)/2 , (-1+5)/2 = 6/2, 4/2 = (3,2)

What is the area of this figure?
9 mi
5 mi
8 mi
6 mi
3 mi
3 mi

Answers

Answer:

54 square miles

Step-by-step explanation:

The easiest thing to do is to separate the figure into one 5x9 rectangle and one 3x3 square. The rectangle area is 5x9=45 square miles and the square is 3x3=9 square miles. So total is 45+9=54 square miles.

What is the the product of (-1 - 3i) and it’s conjugate?

Answers

Answer:

10

Step-by-step explanation:

(-1 - 3i)(-1 + 3i) = 1 - 3i + 3i -9i²

1 - 9i²; i² = -1, therefore 1 - 9(-1) = 1 + 9 = 10

explain how 6/12 and 4/8 are equal fractions

Answers

6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.

Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:

(4/8)/(2/2) = 2/4

(6/12)/(3/3) = 2/4

As you can tell, when they share a common denominator (4), the numerators are the same as well (3).

~

For how many positive integer values of N is the expression 36/N + 2 an integer?

Answers

Answer:

Step-by-step explanation:

36=2×2×3×3

factors of 36 are 2,3,4,6,9,12,18,36

when N+2=2,N=0 (0 is neither positive nor negative.)

N+2=3,N=3-2=1

N+2=4,N=4-2=2

N+2=6,N+6-2=4

N+2=9,N=9-2=7

N+2=12

N=12-2=10

N+2=18,N=18-2=16

N+2=36,N=36-2=34

so for 7 positive integer values of N,36/(N+2)is a positive integer.

Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer

The total number of positive integers needed will be equivalent to all the factors of 36 as shown;

The factors of 36 are 1, 2, 3, 6, 9, 12, 18, 36. Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer

Learn more on factors here: https://brainly.com/question/25829061

Evaluate if x =3 and y = -2

x2+2xy−4y

Answers

Answer:

5

Step-by-step explanation:

With the equation [tex]x^2 + 2xy - 4y[/tex], we can substitute the values of x = 3 and y = -2 into the equation to find its result.

[tex](3^2) + (2\cdot3\cdot-2) - (4\cdot-2)\\\\9 + (6\cdot-2) - (-8)\\9 - 12 + 8\\5[/tex]

Hope this helped!

Basic math for 20 points + brainliest!

Answers

Answer:

Look at photo

Step-by-step explanation:

Find the number of positive divisors of 540.

Answers

Answer:

The number 540 has the following divisors

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Step-by-step explanation:

The number 540 has the following divisors

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Therefore, the number 540 is not a prime number or a deficient number

A deficient number is one that is larger than the sum total of its possible dividing numbers less the number 540 itself that is we have;

1+ 2+ 3+ 4+ 5+ 6+ 9+ 10+ 12+ 15+ 18+ 20+ 27+ 30+ 36+ 45+ 54+ 60+ 90+ 108+ 135+ 180+ 270 = 1140.

Answer:

[tex]540 = 3 ^{3} \times 2 {}^{2} \times 5[/tex]

so, it is 4*3*2= 24

If 1 and -1 are the zeroes of the polynomial p(x) = ax 3 + x 2 − 2x + b, find the values of a and b

Answers

Answer:

             a = 2,    b = -1  

Step-by-step explanation:

p(x) = ax³ + x² - 2x + b

p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1

a + b - 1 = 0  ⇒   b = 1 - a

p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3

- a + b + 3 = 0    ∧   b = 1 - a

- a + (1 - a) + 3 = 0

- a + 1 - a + 3 = 0

-2a + 4 = 0

-2a = -4

 a = 2

b = 1 - 2 = -1

At a certain movie theater, the ratio of length to width of the movie screen is 16:9. If the

length of the screen is 90 feet, then, to the nearest foot, how many feet is its whdth?

Answers

The answer of the width is 51 ft

Answer:

about 51 ft

Step-by-step explanation:

I am not sure if this is the correct answer

16:9 = 16/9

90/x = 16/9

90 * 9 = x * 16810 = x * 16x * 16 = 810( x * 16 ) / 16 = 810 / 16x = 405/8405/8 = 50.62550.625 is about 51

Remember that i am not sure about this answer, but I hope this helps!

???? help please i don’t understand this

Answers

Answer:

  1.5

Step-by-step explanation:

We hope there is something in the context of this question that tells you this is a geometric sequence. If not, it is not possible to choose an appropriate answer.

__

Assuming a geometric sequence, the n-th term is found from the first term (a1) and the common ratio (r) to be ...

  an = a1·r^(n-1)

Using the given values, we can solve simultaneous equations to find a1 and r:

  a2 = 48 = a1·r^(2-1) = a1·r

  a5 = 6 = a1·r^(5-1) = a1·r^4

The ratio of these terms is ...

  a5/a2 = (a1·r^4)/(a1·r) = r^3

  6/48 = r^3 = 1/8

  r = ∛(1/8) = 1/2

__

To find the 7th term, we can make use of the fact that one term is related to the next by the common ratio. (We don't need to find a1.)

Then the 7th term is ...

  a7 = a1·r^(7-1) = a1·r^6 = (a1·r^4)·r^2 = a5·r^2

  a7 = 6·(1/2)^2 = 6/4 = 1.5 . . . . . . substitute for a5 and r

The 7th term is 1.5.

4+2p=10 (3/4p-2) solve for p

Answers

Answer:

p = 48/11 or 4.36

Step-by-step explanation:

4 + 2p = 10(3/4p - 2)

distribute the 10 on the right side of the equation

4 + 2p = (15/2p - 20)

multiply both sides by 2

8 + 4p = 15p - 40

move the terms

48 = 11p

p = 48/11

(sorry if this question is already answered, brainly is glitching out for me)

Answer:

p=6

I got it right on Kahn Academy

Special right triangles

Answers

what should we do??? the question isn't there!


In Exercise 4, find the surface area of the solid
formed by the net.

Answers

Answer:

535.2 cm²

Step-by-step explanation:

The surface area the solid formed by the net in exercise 4 can be calculated by finding the area of each part that makes up the net.

The net consists of 2 triangles and 3 rectangles.

Each triangle has a base (b) of 8 cm and a height (h) of = √(8² - 4²) (using Pythagorean theorem)

height = 6.9cm

Each rectangle has length (l) of 20cm, and width (w) of 8cm

Therefore, Surface Area (S.A) = area of 3 rectangles + area of 2 triangles

S.A = 3(l*b) + 2(½*b*h)

S.A = 3(20*8) + 2(½*8*6.9)

S.A = 3(160) + (1*8*6.9)

S.A = 480 + 55.2 = 535.2 cm²

Which transformation shows a reflection across the y-axis? A) A B) B C) C D) D

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer: Choice A (upper left corner)

This shows a mirroring effect over the vertical y axis.

Choices B and C are a translation (aka shifting)

Choice D is a reflection but over the horizontal x axis.

A line passes through (4,-5) and had a slope of 5/2. Write an equation in point-slope form for this line

Answers

Answer:

y+5 = 5/2( x -4)

Step-by-step explanation:

Point slope form of a line is

( y-y1) = m(x-x1) where m is the slope and ( x1 ,y1) is a point on the line

y --5 = 5/2( x -4)

y+5 = 5/2( x -4)

Answer:

y + 5 = 5/2(x - 4)

Step-by-step explanation:

Use the point slope equation: y - y1 = m(x - x1), where (x1, y1) is a known point and m is the slope.

Plug in the values:

y + 5 = 5/2(x - 4)

So, the equation is y + 5 = 5/2(x - 4)

Piper deposited $734.62 in a savings account that earns 2.6% simple interest. What is Piper's account balance after seven years?

Answers

Answer:

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Step-by-step explanation:

first see te interest :

A=prt   (p is the deposited amount, r is the rate ,  t is the time)

A=734.62 *(2.6/100)* 7

A=133.70084

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Answer:

$868.32

Step-by-step explanation:

First you need to multiply 734.62 by 2.6%.

734.62 x 0.026 = 19.1

Then we need to multiply that by 7 (because 7 years).

19.1 x 7 = 133.7

Then add that to the initial deposit.

734.62 + 133.7 = 868.32

So after 7 years in a savings account your $734.62 would become $868.32.

How do u simplify each expression by combining like terms?

Answers

Answer:

1. 8y - 9y = -1y

( 8 - 9 = -1)

3. 8a - 6 +a - 1

( i have showed the like terms here)

8a - 1a= 7a

-6 - 1 = -7

7a - 7

5. -x - 2 + 15x

( i have showed the like terms here)

-x + 15x = 14x

(x = 1)

14x + 2

7.  8d - 4 - d - 2

( i have showed the like terms here)

8d - d = 7d

-4 -2 = -6

7d - 6

8. 9a + 8 - 2a - 3 - 5a

( i have showed the like terms here)

9a - 2a - 5a = 2a

8 - 3= 5

2a + 5

Please answer question now

Answers

Step-by-step explanation:

Here,

diameter(d) of the cylinder is 16 yd.

radius of a cylinder is 16/2 yd= 8 yd.

height (h) of a cylinder is 18yd.

now, we use formula for surface area of cylinder,

a= 2.pi.r(r+h)

or, a= 2×3.14×8(8+18)

by simplifying it we get,

The surface area of cylinder is 1306.24 sq.yd.

Hope it helps...

Answer:

The surface area of this cylinder is:

1306.24 square yards

Step-by-step explanation:

  There are 2 types of surface:

2 flat surfade1 circular surface

then:

total  surface = 2 flat surface + circular surface

ts = 2(п r²) + (п*d*h)

ts = total suface

п ≈ 3.14

d = diameter = 16 yd

r = radius = diameter/2 = 16/2 = 8yd

h = high = 18yd

then:

ts = 2(3.14*8²) + (3.14*16*18)

ts = 2(3,14*64) + (904,32)

ts = 2(200.96) + 904.32

ts = 401.92 + 904.32

ts = 1306.24 yd²

Can you please help me thanks

Answers

Answer: q=6r+16

q-10=6(r+1)

q-10=6r+6

q-10=6r+6
+10 +10

Q= 6r+10


I think that’s how you do it... sorry it’s been awhile I hope this helps

Find the perimeter of this figure. (Image down below)

Answers

Answer:

The answer is

44 ft

Step-by-step explanation:

The figure above is a rectangle

To find the perimeter of a rectangle we use the formula

Perimeter of a rectangle = 2l + 2w

where

l is the length of the rectangle

w is the width of the rectangle

From the question

length = 14 ft

width = 8ft

Substituting the values into the above formula we have

Perimeter = 2(14) + 2(8)

= 28 + 16

We have the final answer as

Perimeter = 44 ft

Hope this helps you

Since perimeter is adding all the sides together it would be (8×2 = 16) and (14×2 = 28 ) so 28+16=44 ^^ I agree with the answer above :)

Write each expression using a positive exponent. ("/" means division)("^" means to the power of) 9^-4

Answers

Answer:

Step-by-step explanation:

[tex]9^{-4}[/tex]

=[tex]\frac{1}{9^{4} }[/tex]                   ∴     [tex]x^{-n} = \frac{1}{x^{n} }[/tex]

=[tex]\frac{1}{9*9*9*9}[/tex]

=[tex]\frac{1}{6561}[/tex]

Lily deposited $19 in a savings account that earns 1.3% simple interest. Which graph represents this scenario?

Answers

Answer:

the total amount (balance) after x years with a principal of $19 and with simple interest of 1.3% is given by:

balance(x) = 19(1+0.013x)

Calculate for two values of x (for example x=0, balance = 19(1+0)=$19

and choose the graph that fits both points.

Step-by-step explanation:

Ali was supposed to meet his friend in th evening every sunday. The first time he came at 4.30,the next time at5. 20,then at 6.30.Then at8. 00.When did he turn up the last time after that?

Answers

Answer:

9:50

Step-by-step explanation:

Given the following information :

First meeting = 4:30

Second meeting = 5:20

Third meeting = 6:30

Fourth meeting = 8:00

Frim careful observation of the meeting times :

Difference between the ;

Second and first meeting:

5:20 - 4:30 = 50 minutes

After that 20 minutes is added to the subsequent meetings as observed from the third and fourth meetings

6:30 - 5:20 = 70 minutes

8:00 - 6:30 = 90 minutes

Therefore, next meeting time :

(90 + 20) minutes = 110 minutes

8:00 + 110 minutes = 9:50

1) Which is a prime number?
19
15
18
22


Answers

Answer: 19

Definition:

Prime: Prime numbers are numbers that can only be multiplied ONE time.

Example: 19×1=19

Composite: Composite numbers are numbers that can be multiplied MORE THAN ONE time.

Number 15: 15×1=15, 15×2=30, 15×3=45

Number 18: 18×1=18, 18×2=36, 18×3=54

Number 22: 22×1=22, 22×2=44, 22×3=66

Answer: The answer is 19.

Step-by-step explanation:

The midpoint (x, y) and the end point (x2, y2) are known. Find (x1, Y1) using the midpoint formula.

a. (x1,y1) = (2x + x2, 2y+y2)

b. (x1,y1) = (2x - x2, 2y - y2)

c. (x1,y1) = (x + x2, y + y2)

d. (x1,y1) = (x - x2, y - y2)

Answers

Answer:

(x1,y1) = (2x - x2, 2y - y2)

Step-by-step explanation:

Given:

Midpoint = (x , y)

End point = (x2, y2)

Find:

(x1, y1)

Computation:

Mid-point formula

x = (x1 + x2) / 2 , y = (y1 + y2) / 2

So,

2x = x1 + x2 , 2y = y1 + y2

x1 = 2x - x2 , y1 = 2y - y2

So,

(x1,y1) = (2x - x2, 2y - y2)

HELP PLS Kelly made fruit punch to serve at a party for her chess team. She mixed 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass?

Answers

Answer:

⅓litres

Step-by-step explanation:

1²/5+1³/5 =(1+1)+(²/5+³/5)

=2+ 1 = 3

3÷9=³/9.

simplify. ³/9= ⅓

Kelly pours 1/3 liter of fruit punch into each glass at a party for her chess team.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

She combined 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice which are given in the question.

As per the above situation, the required solution would be

⇒ 1 2/5 + 1 3/5

Convert mixed numbers to fractions,

⇒ 7/5 + 8/5

Take the LCM in the above equation,

⇒ (7 + 8)/5

⇒ 15/5

⇒ 3

Then, she split the fruit punch evenly among 9 glasses.

Now, we have to divide 3 liters of fruit punch into 9 glasses

So 3/9 = 1/3 liters of fruit punch

Therefore, she pours 1/3 liter of fruit punch into each glass.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Convert the improper fraction 17⁄5 into a mixed number The denominator is 5 So the denominator of the ______number will be 5 This is from Seneca Learning:

Answers

Answer:

3 wholes 2/5

I hope this helps you!

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b. A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is ?

Answers

Answer:

[tex]\displaystyle [0, 6][/tex]

Step-by-step explanation:

[tex]\displaystyle 1 = -\frac{1}{2}[10] + b \\ \\ 1 = -5 + b; 6 = b \\ \\ [0, 6][/tex]

I am joyous to assist you at any time.

Other Questions
In which two sentences do the words in parenthesis represent prepositional phrases? -(The man in the house) seemed to be asleep. -The soldiers crept cautiously (through the tunnel.) -(Having been washed,) Jim's dog seemed a little smaller than before. -(Their faces brightening), they thanked us for our offer. -I was informed that the bus would arrive (in 45 minutes.) By 2015, at least 130 prisons were being operated by private companies. Multiply. (2x - 3)(x + 4) a 2x + 11x - 12 b 2x + 5x - 12 c 2x + 11x - 7 d 2x + 3x - 7 f(x)=x^2 what is g(x)? pls help me Soame Jenyns pointed out that many British subjects paid taxes directly to the British government, but were still unable to vote.Which of the following combinations does this represent? John Lewis: Together, You Can Redeem the Soulof Our NationWhat event from the text do you think is the most important in developing a main idea of the text? Support youranswer with details from the text The keys to the success of the Mongolian military in the 1200s includedThe keys to the success of the Mongolian military in the 1200s included Emergency Operations Centers are part of the standard, national framework for incident management. This is described in A. the Command and Coordination component of the National Incident Management System (NIMS). B. the Resource Management component of the National Incident Management System (NIMS). C. the Operational Period Planning Cycle and Incident Action Plan for each individual incident. D. the Communications and Information Management component of the National Incident Management System (NIMS). 4If Randy flips a coin 3 times, what is the probability that it will come up heads 3 times? Find the slope of ABA (-3, 12), B (-11, -16) Use the diagram below to answer the questions.Which are shown on the diagram? Check all that apply.JLKMJKPKLJKMJ Find the common ratio of the geometric sequence: 3,4,16/3,...A.1B.3/4C.4/3D.-1 How many pencils are in a bundle of 10 What is the balanced equation for the reaction of aqueous cesium sulfate and aqueous barium perchlorate? how many quarts are there in 12 gallons and 3 quarts? enter the number only. Do not include units Lew's has 500 bonds outstanding with a price quote of 98.6. There are also 12,000 shares of common stock selling for $47 a share and 5,000 shares of preferred stock at $70 a share. What is the weight of equity How did Dickinson view fame, based on her poems beginning with "Fame is a fickle food" and "I'm nobody"? The price of oil in the United States has been very volatile over the last 50 years, with the real price of oil showing a few dramatic swings. When did these swings occur, and what can explain them? The first dramatic swing happened in the 1970s when there was a sharp drop rise in the real price of oil caused by a large financial crisis the formation of OPEC increased demand from emerging economies . The second swing happened in the 2000s when there was a sharp rise drop in the real price of oil caused by increased demand from emerging economies a large financial crisis the formation of OPEC . The most recent swing happened in 2008 when there was a sharp rise drop in the real price of oil caused by The slope of the line whose equation is x + y = 6 is: -1 1 6 Shaw and Maya agree to a total contract price of $920,000. How much of the contract price should Maya allocate to the machine, installation, and training, respectively?