Four spinners are spun. Spinner 1 has outcomes Spinner 2 has outcomes Spinner 3 has outcomes Spinner 4 has outcomes The outcomes for each spinner are equally likely. is the sum of the numbers that come up on the spinners. What is the expected value of

Answers

Answer 1

Complete Question

Four spinners are spun. Spinner 1 has outcomes {1,2,3,4,5,6,7,8} Spinner 2 has outcomes {1,2,3,4,5,6} Spinner 3 has outcomes {1,2,3,4,5,6} Spinner 4 has outcomes {1,2,3,4,5} The outcomes for each spinner are equally likely. S is the sum of the numbers that come up on the spinners. What is the expected value of S?

Answer:

[tex]E(s)=14.5[/tex]

Step-by-step explanation:

From the question we are told that:

Spinner 1 ={1,2,3,4,5,6,7,8}

Spinner 2=  {1,2,3,4,5,6}

Spinner 3 = {1,2,3,4,5,6}

Spinner 4  {1,2,3,4,5}

Generally the equation for expected outcome is mathematically given by

[tex]E(s)=\sum P(x).x[/tex]

Where

[tex]x=\frac{n(n+1)}{2}[/tex]

For Spinner 1

[tex]E(s_1)=\sum \frac{1}{8}*\frac{8(8+1)}{2}[/tex]

[tex]E(s_1)=4.5[/tex]

For Spinner 2

[tex]E(s_2)=\sum \frac{1}{6}*\frac{6(6+1)}{2}[/tex]

[tex]E(s_2)=3.5[/tex]

For Spinner 3

[tex]E(s_2)=E(s_3)[/tex]

For Spinner 3

[tex]E(s_4)=\sum \frac{1}{6}*\frac{6(6+1)}{2}[/tex]

[tex]E(s_4)=3[/tex]

Therefore The Expected Value

[tex]E(s)=\sum E(s 1..4)[/tex]

[tex]E(s)=4.5+2(3.5)+3[/tex]

[tex]E(s)=14.5[/tex]


Related Questions

Britany wants to read a book. In her room, she has 5 mysteries, 15 historical fictions, 12 modern fantasies, and 7 blographies. how many different choices are available ?
a. 78
b. 34
c. 32
d.39

Answers

Answer

I guess

39 different choice are available

66. If the length of one side of a triangle 6 and the length of another side is 2, which of the following cannot be the length of the third side of the triangle?
A) 8
B) 7
C)
D) 5

Answers

Answer:

A)

Step-by-step explanation:

what is C ? 6 ?

if that is the case, then my answer is A) 8

why ? because then the other 2 sides together are just as long as this third side, and we would have just a flat line with the length of 8.

every side in a triangle must be shorter than the other two sides together.

but - fully formally such a flat line could be considered a special triangle with 2 angles of 0 degrees and one angle of 180 degrees.

that is why I am asking about the missing C answer. it could be a trick question. but if C is truly 6, then yes, A is the right answer. if C is larger than 8, then C is the right answer.

Hank has a bottle of diluted syrup that is 60% maple syrup and a bottle of pure syrup that is 100% maple syrup in his restaurant. How many ounces of pure syrup should he mix with the diluted syrup in order to make 100 ounces of 85% maple syrup? Express your answer as a decimal rounded to the nearest hundredth if necessary.

Answers

9514 1404 393

Answer:

  62.5 oz of 100%

Step-by-step explanation:

Let p represent the number of ounces of pure syrup. Then (100-p) is the number of ounces of 60% syrup. The amount of maple syrup in the desired mix is ...

  p +0.60(100 -p) = 0.85(100)

  0.40p +60 = 85 . . . . . . . . . . . simplify

  0.40p = 25 . . . . . . . . . . subtract 60

  p = 62.5 . . . . . . . . . divide by 0.4

62.5 ounces of pure syrup should be mixed with the diluted syrup to make 100 ounces of 85% maple syrup.

_____

The other 37.5 ounces will be 60% syrup.

HELP PLEASE GEOMETRY!!

Answers

Answer:

<G = <J

Step-by-step explanation:

SAS means two sides and the included angle

WE know two sides and need the included angle

<G must equal < J

HELP ASAP!!!!!!!PLEASE SHOW WORK!!!!!! !!!!!

Answers

Answer:

Area = 12.82 miles²

Step-by-step explanation:

Area of a triangle with two adjacent sides and the inscribed angle between these side is given by,

Area = [tex]\frac{1}{2}ab[\text{sin(C)}][/tex]

By substituting the values of sides a, b and the angle C,

Area = [tex]\frac{1}{2}(5.7\times 9.3)[\text{sin}(14^{\circ})][/tex]

        = 12.82 square miles

What are the equations of the asymptotes for the functiony=tan2pix where 0

Answers

9514 1404 393

Answer:

  (b)  x = 0.25, 0.75, 1.25, 1.75

Step-by-step explanation:

The asymptotes of tan(α) are found at ...

  α = π/2 +nπ

We want to find x such that ...

  2πx = α = π/2 +nπ

Dividing by 2π gives ...

  x = 1/4 +n/2 . . . . . . . for integers n

In the desired range, the values of x are ...

  x = 0.25, 0.75, 1.25, 1.75

The following data on price () and the overall score for stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is

(y-hat) = 27.922+0.302x

Brand Price Score
Bose 180 76
Scullcandy 160 76
Koss 95 69
Phillips/O'Neill 70 58
Denon 80 50
JVC 35 26

Required:
Does the t test indicate a significant relationship between price and the overall score?

Answers

Answer:

Relationship exists between price and overall score

Step-by-step explanation:

Given the data:

Brand Price Score

Bose 180 76

Scullcandy 160 76

Koss 95 69

Phillips/O'Neill 70 58

Denon 80 50

JVC 35 26

Using the correlation Coefficient calculator ; the correlation Coefficient, R = 0.875

H0 : no relationship exists

H1 : relationship exists

Using the R Coefficient ;

The test statistic :

T = r / √(1 - r²) / (n - 2)

n = 6

The test statistic :

T = 0.875 / √(1 - 0.875²) / (4)

T =0.875 / 0.05859375

T = 0.9333

The Pvalue from test statistic :

df = n - 2 ; 6 - 2 = 4

Pvalue(0.933, 4) = 0.02246

At α = 0.05

Pvalue < α ; We reject H0 ; and conclude that relationship exists between price and overall score

A football is kicked upward from a height of 6 feet with an initial speed of 70 feet per second. Use the formula to find the balls height 3 seconds after it was kicked

Answers

70 ft per sec going upward 3 sec from 6 ft high should reach 216 ft, but unfortunately gravity is pulling it and at some point it starts to go backward (at 2.176 second), so to compensate the upward slowing down and distance dropped, use -32.176 times 3 square times 1/2 = -144.792 which is the natural drop distance if the football is released mid air without a initial speed after 3 seconds. 216 - 144.792 = 71.208 ft high.

a) The weekly wages of employees of Volta gold are normally distributed about a mean of $1,250 with a standard deviation of $120. Find the probability of an employee having a weekly wage lying;

Answers

Answer:

0.7102

0.8943

0.3696

Step - by - Step Explanation :

A.) Between $1320 and $970

P(Z < 1300) - P(Z < 970)

find the Zscore of each scores and their corresponding probability uinag the standard distribution table :

P(Z < (x - μ) /σ) - P(Z < (x - μ) / σ))

P(Z < (1320 - 1250) /120) - P(Z < (970 - 1250) / 120))

P(Z < 0.5833) - P(Z < - 2.333)

0.7200 - 0.0098 = 0.7102 (Standard

=0.7102

B.)Under 1400

x = 1400

P(Z < 400)

P(Z < (x - μ) /σ)

P(Z < (1400 - 1250) /120)

P(Z < 1.25) = 0.8943

C.) Over 1290

P(Z > 1290)

P(Z < (x - μ) /σ)

P(Z > (1290 - 1250) /120 = 0.3333

P(Z > z) = 1 - P(Z < 0.3333) = P(Z < 0.3333) = 0.6304

P(Z > 0.3333) = 1 - 0.6304 = 0.3696

Evaluate each expression.

HELP!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

2. (03.05)
A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change during the 40-minute time of talk?
X Total min of talk time
0
10
20
30
40
Y Monthly cost of cell phone in $
14.95
15.95
16.95
17.95
18.95

Answers

Answer:

The average change rate increases by a dollar for every 10 minutes you speak.

Step-by-step explanation:

If you do not speak at all you pay the standard price.

After that, If you add 10 minutes to your talk time, you add a dollar to your payment

hope it helps c:

Consider the function ƒ(x) = (x + 1)2 – 1. Which of the following functions stretches ƒ(x) vertically by a factor of 4?

A) ƒ(x) = 1∕4(x + 1)2 – 4
B) ƒ(x) = (1∕4x + 1)2 + 3
C) ƒ(x) = 4(x + 1)2 – 1
D) ƒ(x) = 4(4x + 1)2 – 1

Answers

Answer:

C f(x) = 4(x+1)2-1

Step-by-step explanation:

factor of 4 = 2^2

(x+1)2-1 = 4(x+1) 2-1 = with x

           =   4(+1) 2-1  = without x

           =  (4 - 4) 2 = individual products of -1

           =  (8 - 8 ) = individual products of 2

           =   8 - 8  = 2^2 -2^2

           =  2^2 - 2^2

(x+1)2-1 = 4(x+1)2-1 = with x

            = 2x^2 -2^2

          -x = 2^2 -2^2

            x = -2^2-2^2

            x = 4

which proves f(x) is a factor of 4

19. Which of the following
statements is true about
angle K?
K
R
a. Angle K is obtuse
b. angle K is acute
C. angle K is greater than
90
d. angle K is a right angle

Answers

9514 1404 393

Answer:

  b. angle K is acute

Step-by-step explanation:

We're often told not to draw any conclusions from the appearance of a figure in a geometry problem. Here, angle K appears to be somewhat less than 90°, so angle K is acute.

__

Additional comment

This choice of answer is confirmed by the fact that the other two (visible) choices say the same thing. If one of them is correct, so is the other one. Hence they must both be incorrect. (An obtuse angle is more than 90°.)

What is the solution set of 7 x2 + 3 x = 0? {0, 3/7} {0, -3/7} {0, -4/7}

Answers

Answer:

[tex]{ \tt{7 {x}^{2} + 3x = 0 }} \\ { \tt{x(7x + 3) = 0}}[/tex]

Either x = 0 or ( 7x + 3 ) = 0 :

[tex]{ \tt{7x + 3 = 0}} \\ { \tt{x = - \frac{3}{7} }}[/tex]

Answer:

[tex]{ \bf{(0, \: - \frac{3}{7}) }}[/tex]

Jessy pastes stamps for 160 envelopes in 2 hours. If she pastes the stamps at the same rate, for how many envelopes can she paste stamps in 30 minutes ?

Answers

2 hours=160

1 hours=160÷2=80

30 minutes=80÷2=40

Answer:She can paste 40 stamps in 30 minutes

how to bring the polynomial to the standard form p(x) x^2-2x+4) (x^2+2x+4) ​

Answers

Solution:

[tex]\rightarrow\sf((p(x) {x}^{2} + 2x + 4)( {x}^{2} + 2x + 4)) \\ = \sf {ax}^{2} + bx + c \\ = \sf(p(x) {x}^{2} {x}^{2} + p(x) {x}^{2} (2x) + p(x) {x}^{2} \times 4 + 2x \times {x}^{2} + 2x(2x) + 2x \times 4 + {4x}^{2} + 4(2x) + 4 \times 4) \\ = \sf( {x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16) \\ \rightarrow \large\boxed{\sf\red{{{x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16}}}[/tex]

Answer:

[tex]\large\boxed{\sf{\red{{x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16}}}[/tex]

[tex]\color{red}{==========================}[/tex]

✍︎ʜɴǫɴ

✍︎ʀʀʏɴʟʀɴɪɴɢ

✍︎ɪ ʀ

A water company charges $20 for service and 2.75 for every 1000 gallons of water use in month construct a linear model to represent the water bill; how much would you be charged bill how much would you be charged if you use 5000 gallons of water this month

Answers

Answer:

5000

Step-by-step explanation:

⁉️⁉️


A rectangular plot of land is 100 feet long and 50 feet wide. How long is the walkway along the diagonal? Round to the
nearest foot
A) 75 feet
B) 87 feet
C) 112 feet
D) 150 feet

Answers

Answer:

Step-by-step explanation:

Which expression is equivalent to One-fourth minus three-fourths x?

Answer:

C: 112 feet

Step-by-step explanation:

Ravi bought 50kg rice at the rate it tk40 per kg and sold it at the rate of tk44 per kg. What is the amount of profit or loss?

Answers

Here is your Answer

Step-by-step explanation:

Ravi bought rice = 50kg

Rate it =40kg

Sold it at the rate = = 44kg

Answer: -34Mark me as brainlist and give me 20 thx pls

Which describes the transformations applied in the figure above?
7 units up and 10 units to the left

5 units down and a reflection about the y-axis

5 units up and a counterclockwise rotation of 180 degrees

5 units down and a counterclockwise rotation of 90 degrees

Answers

Answer:

Step-by-step explanation:

(4). 5 units down and a counterclockwise rotation of 90 degrees

Option D is the correct answer.

We need to find which options describe the transformations applied in the given figure.

What are the transformations?

There are four common types of transformations - translation, rotation, reflection, and dilation. From the definition of the transformation, we have a rotation about any point, reflection over any line, and translation along any vector. These are rigid transformations wherein the image is congruent to its pre-image. They are also known as isometric transformations. Dilation is performed at about any point and it is non-isometric.

From the given figure we can see 5 units down and a counterclockwise rotation of 90°.

Therefore, option D is the correct answer.

To learn more about the transformation visit:

https://brainly.com/question/11709244.

#SPJ5

HELP ASAP PLEASE!!
stroller rental at the zoo costs $14.00 per day, but members get an 8% discount. What price do members pay for stroller rental?

Answers

Answer:

$10.08

Step-by-step explanation:

100%=$14

72%= x (cross multiple)

100% × x =72% × $14

100x =1008

divide both sides by 100

100x÷100=1008÷100

x=$10.08

HELP PLS DUE IN 6 MINUTES
6TH GRADE MATH

Answers

Answer:

C

Step-by-step explanation:

trust me its easy

Answer:

C: None of the above

Step-by-step explanation:

HELP What is true about the dilation?
On a coordinate plane, the image rectangle has points (0, 0), (0, 8), (9, 8), (8, 0). The pre-image has points (0, 0), (0, 2.5), (3, 2.5), (3, 0).

It is a reduction with a scale factor between 0 and 1.
It is a reduction with a scale factor greater than 1.
It is an enlargement with a scale factor between 0 and 1.
It is an enlargement with a scale factor greater than 1.

Answers

9514 1404 393

Answer:

  (d) enlargement with scale factor greater than 1

Step-by-step explanation:

The image is obviously larger than the pre-image, so the dilation is an enlargement. The scale factor associated with an enlargement is always greater than 1.

__

Additional comment

In this drawing, the scale factor in the vertical direction is 8/2.5 = 3.2. The scale factor in the horizontal direction is 9/3 = 3.0. The scale factors are different in the different directions.

Answer:

D.

Step-by-step explanation:

help needed right away this is timed

Answers

I think it might be x

Which statement IS true
about the equations -3x + 4y = 12 and +X- ~Y - 1?
The system of the equations has exactly one solution
at -8, 3).
• The system of the equations has exactly one solution at (-4, 3).
• The system of the equations has no solution; the two lines are parallel.
• The system of the equations has an infinite number of solutions represented by either equation.

Answers

Answer:

Second one(Not sure)

Step-by-step explanation:

I believe the system doesn't have an exact answer. But the line are parallel because of (3).

write your answer in simplest radical form​

Answers

Answer:

n = 8√2

Step-by-step explanation:

It's a 30-60-90 triangle, so n = 2×4√6/√3 = 8√2

Describe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3+4. Include the average rate of change in your answer.

Answers

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope of the line between 2 points. What we have are the x values of each of 2 coordinates. What we don't have are the y values that go with those. But we can find them! Aren't you so happy?

We can find the y value that corresponds to each of those x values by evaluating the function at each x value, one at a time. That means plug in 4 for x and solve for y, and plug in 6 for x and solve for y.

[tex]f(4)=2(4)^3+4[/tex] and doing the math on that gives us

f(4) = 132 and the coordinate is (4, 132).

Doing the same for 6:

[tex]f(6)=2(6)^3+4[/tex] and doing the math on that gives us

f(6) = 436 and the coordinate is (6, 436). Now we can use the slope formula to find the average rate of change (aka slope):

[tex]m=\frac{436-132}{6-4}=\frac{304}{2}=152[/tex] where m represents the slope

when 3a^2-2a+5 is subtracted from a^2+a-1 the result is

Answers

-2a^2+3a-6

(1-3)a^2+(1+2)a+(-1-5) simplifies to the expression above.

Can someone help me out please

Answers

16 is the answer jxhsjcjaks

find the measure of the largest exterior angle​

Answers

Answer:

116 degrees

Step-by-step explanation:

To find the answer, we must know what the sum of exterior angles are on a given shape, which is 360 degrees.

So, let's put the equation up.

8x-21+4x-13+5x-11+6x+14=360

Let's add all the x variables together to simplify it. And also add the number together too.

8x+4x+6x+5x= 23x

(-21)+(-13)+(-11)+14 = -31

The equation we have is in its initial simplified version. Let's simplify it even more to solve.

23x-31=360

Add 31 to both sides.

23x=391

Divide 23 on both sides to find x.

391/23 = x

x= 17

Let's put the value x in each exterior angle.

A= 8(17)-21 = 115 degrees

B= 6(17)+14 = 116 degrees

C= 5(17)-11 = 74 degrees

D= 4(17)-13 = 55 degrees

From the work above, we know B is the largest exterior angle, which is 116 degrees.

Hope this helps!

Other Questions
Which statement best describes a person who is following through on a previously made decision? A car travels 52/5 kilometers in 23/4 minutes. What is the unit rate in kilometers per minute? Use the graph to complete the statement. O is the origin. r(180,O) Ryaxis : (2,5)A. ( 2, 5)B. (2, -5)C. (-2, -5)D. (-2, 5) What type of wave is a microwave?O heatO longitudinalsoundtransverse If the mean of a normal distribution is 210, what is the median of thedistribution?210B. 315C. 105D. 420 Give 5 examples of military personal What is the remainder when () = 3 11 10 is divided by x+3 Need help asapppppppppp According to the reading who was named the second most disruptive company in 2018 by CNBC I. Fill in the gaps with suitable words to make a conversation (3p/0.3 each) Customer: Book a table near the pool for 3, tomorrow night at 7p.m Agree with the waters suggestion on table reservation Ask for the special dish of the day and the food for an Indian guest Finish the call Waiter: Ask for time of arriving at the restaurant, Suggest another table (table by the pool is reserved) Suggest the chefs dish for two guests and food for the Indian guest Finish the call I need help with this plZ ASAP Select the correct text in the passage.Which sentence in the Gettysburg Address supports the claim that President Lincoln did not recognize the historical importance of his speech?Four score and seven years ago our fathers brought forth, upon this continent, a new nation, concelved in liberty, and dedicated to theproposition that "all men are created equal."Now we are engaged in a great civil war, testing whether that nation, or any nation so conceived, and so dedicated, can long endure. We are meton a great battle field of that war. We have come to dedicate a portion of it, as a final resting place for those who died here, that the nationmight live. This we may, in all propriety do. But, in a larger sense, we can not dedicate-we can not consecrate-we can not hallow, this ground- The brave men, living and dead, who struggled here, have hallowed it, far above our poor power to add or detract. The world will little note,nor long remember what we say here; while it can never forget what they did here.It is rather for us, the living, we here be dedicated to the great task remaining before us--that, from these honored dead we take increaseddevotion to that cause for which they here, gave the last full measure of devotion--that we here highly resolve these dead shall not have died invain; that the nation, shall have a new birth of freedom, and that government of the people by the people for the people, shall not perish fromthe earth. underline the material noun from each sentences.Make a new sentence with it in the given blank1 a glass tumbler is breakable. -(2x +y) - 2 ( -x - y).................... what is the equation What is the first step to take when evaluating the credibility of an argument?A identify any claims by the arguments author B determine the relevance of the arguments support C identify the types of support used in the argument D determine the completeness of the argument Which revision is needed to collect the following sentence? find the measure of x where is Japan's largest city located. In what ways can Confucasianism be defined as a secular or "humanistic" philosophy rather than a supernatural religion?