Simon wants to earn as many points as possible in one turn in a game. Two number cubes whose sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points are awarded in the turn.

OPTION A: If the sum of the rolls is a prime number, Simon receives 15 points.
OPTION B: If the sum of the rolls is a multiple of 3, Simon receives 12 points.

Which statement best explains the option he should choose?


A. Simon should choose Option B. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.

B. Simon should choose Option A. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.

C. Simon should choose Option B. The mathematical expectation of this option is 4 and is the greater mathematical expectation of the two options.

D. Simon should choose Option A. The mathematical expectation of this option is 4 and is the greater mathematical expectation of the two options.

Answers

Answer 1

Answer: b. Simon should chose option a. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.

Answer 2

Statement B. Simon should choose Option A. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options is correct.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The probability that the sum of the rolls is a prime number:

P(sum is prime) = 15/36 =0.416

Expected number of points = 0.416×15 =6.25

Probability that f the sum of the rolls is a multiple of 3,

P(sum of rolls is multiple of 3) = 12/36 = 0.33

Expected number of points = 0.33×12 = 3.96

Thus, statement B. Simon should choose Option A. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options is correct.

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Related Questions

19.3.5 Quiz: Frequency Tables
Question 2 of 5
Nurse Jackson examines immunization records for this past winter at the
school where she works.
Got flu Didn't get flu Total
Vaccinated
25
150
175
Not vaccinated 60
65
125
Total
85
215
300
How many students were not vaccinated and did not get the flu?
A. 150
B. 60
C. 65
D. 125

Answers

Answer:

The answer is C. 65

Step-by-step explanation:

You can really just do this visually ngl

The ratio of dogs to cats in the neighborhood was 3 to 7. If a total of 210 dogs and cats were in the neighborhood, how many cats were there? Complete the statement by providing the correct response in number form.

Answers

Answer:

147 cats

Step-by-step explanation

There are 3 dogs/ 7 cats

3x + 7x = 210

10x = 210

210 ÷ 10 = 21

Therefore,

x = 21.

dogs would be 3x (3 x 21) = 63

cats would be 7x (7 x 21) = 147

Please hurry I need this soon and no links

Answers

The correct answer would be B. A chord is a line inside the circle that is not divide the circle in half. I hope this helps!

Solve by grouping 8x^3+3+6x^2+4x

Answers

Answer:

Step-by-step explanation:

Answer:

it cant be simplified but this is what i got

Step-by-step explanation:

sorry if its incorrect :')))))))

a) how many 15-year old students took part in the survey?

Answers

By observing the frequency polygon,

the number of 15 year old students who took part in the survey are 300.

What is frequency polygon?

A frequency polygon is almost identical to a histogram, which is used to compare sets of data or to display a cumulative frequency distribution. It uses a line graph to represent quantitative data.

To calculate the number of students, we add all frequency points corresponding to the time intervals.

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Brainliest and 15 points if you get this problem right! NO LINKS= No BRAINLIEST

Answers

Answer:

1. Movie B

2. Movie C

3. 40 years old

Step-by-step explanation:

Answer:

Part 1 = Movie B.

Step-by-step explanation:

Part 2. Movie C

Part 3. 40

To solve for n, I should do what to both sides of the equation? n - 8 = 13
A. Add 8 to both sides of the equation.
B. Subtract 8 from both sides of the equation.
C. Subtract 13 from both sides of the equation.
D. Add 13 to both sides of the equation.

Answers

A. Add 8 to both sides of the equation

Mary bought a purse which was marked at 25% off. The original price of the purse was
$45.00. If the sales tax is 8% and applied after the discount, how much did Mary pay for the purse?

Answers

Answer: $36.45

Step-by-step explanation:

45(.25)=11.25

45-11.25=33.75

33.75(.08)=2.70

33.75+2.70=36.45

The answer is $36.45

help plsssss need help will give brainliest

Answers

Answer:

[tex]\boxed {\boxed {\sf 22a-14b}}[/tex]

Step-by-step explanation:

We are given this expression:

[tex]17a-10b+5a-4b[/tex]

We are asked to simplify. For this expression, we will need to combine like terms. Like terms are terms with the same variable. In this expression, there are 2 variables: a and b. Use the commutative property of addition to move the like terms together.

[tex](17a+5a)+(-10b+ -4b)[/tex]

Add inside the parentheses.

[tex]22a+ (-10b+-4b)[/tex]

A positive next to a negative, like +- becomes a negative.

[tex]22a+ (-10b-4b)[/tex]

[tex]22a+ -14b \\22a-14b[/tex]

The expression 17a-10b+5a-4b is equal to 22a-14b.

23% more than the number last week. This week, there were 7134 new cases. How many new cases were there last week?

Answers

Answer:

Number of cases sold last week= 31,017 cases

Step-by-step explanation:

Giving the following information:

Increase in sales= 23%

This week, there were 7,134 new cases.

If 7,134 cases represent the 23%, then we need to use the rule of three:

Number of cases sold last week= (7,134*100)/23

Number of cases sold last week= 31,017 cases

Need help ASAP please anyone

Answers

Answer:

Step-by-step explanation:

$78 is what % of $120?

Answers

Answer:

Step-by-step explanation:

Step one you make the a SSUMPTION that 120 is 100% since it is your output value, step to you next represent the value you seek with X yes, step three form step one, it follows that hundred percent equals 120, step four in the same VEIN, X percent equals 78, step five it gives you a pair of simple equations like 100% equals 120 (1)
X percent equals 78(2)
And step six you simply divide equation one by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the saying unit( percentage)
Therefore, 78 is 65% of 120

I hope this really helps...

PLEASE HELP THIS IS URGENT>>>>NO LINKS!!

Answers

Answer:

i believe that the answer is c

Need help with math!!!!!!

Answers

Answer:

3

Step-by-step explanation:

the third option

It is D because 3/5 is .20x3 so it is .60

3-108. Write an equation and find the answer for each of the following problems. Give answers in decimal form. Homework Help a. What is the product of three tenths and four hundredths?​

Answers

product means multiply, so 3/10 * 4/100 = 12/1000, simplified is 6/500

PLEASE HELP ME!! I NEED HELP FAST!

Question 3 (10 points) (08.03/08.05 MC) A pair of equations is shown below:

y = 7x - 8
y = 5x – 2

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)​

Answers

Answer:

part A) rearrange the equations to form simultaneous equations:

y-7x=8

y-5x=-2

now eliminate the y values by minusing the two equations:

(y-7x=8)-(y-5x=-2)

to get:

-2x=-6

x=3

now substitute x into one of the equations to get y:

y=5x-2

y=15-2

y=13

[tex]x = 3 \\ y = 13[/tex]

part B) the lines will intercept at (3, 13)

Step-by-step explanation:

hope this helps!

For any number n>1, is

|(5 – 3i)^n|

A. greater than 1?
B. less than 1?
C. equal to 1?

Answers

Answer:

A.greater than 1

Step-by-step explanation:

1. take away all the symbols

2. 5-3

3.5-3=2

4. is 2 greater than 1

5. yes

6. answer is A.

Consider right triangle △ABC below.

Which expressions are equivalent to sin(∠B)?
Choose two answers:
A: tan(∠A)
B: length of side adjacent to ∠A/length of hypotenuse
C: sin(∠A)
D: AC/AB

Answers

Answer:

Khan academy

Step-by-step explanation:

The expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a right-angled triangle and its angles.

For the given situation,

From the diagram,

The right angle is at ∠C, so opposite to that side is hypotenuse.

If we consider angle at ∠B, then the side opposite to that side is opposite side and the other side is adjacent side.

Thus, Sin∠B = [tex]\frac{oppposite}{Hypotenuse}[/tex]

⇒  Sin∠B = [tex]\frac{AC}{AB}[/tex]

From the options, now check which options is equivalent to Sin∠B,

Option (A): tan(∠A)

Now, consider the angle at ∠A,

so,   [tex]tan(\angle A)=\frac{oppposite }{adjacent}[/tex]

⇒  [tex]tan(\angle A) =\frac{CB}{AC}[/tex]

Option A is not equivalent to sin(∠B).

Option (B): length of side adjacent to ∠A/length of hypotenuse

⇒ [tex]\frac{AC}{AB}[/tex]

Option B is equivalent to sin(∠B).

Option C: sin(∠A)

[tex]Sin(\angle A)=\frac{CB}{AB}[/tex]

Option C is not equivalent to sin(∠B).

Option D: AC/AB

Option D is equivalent to sin(∠B).

Hence we can conclude that the expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

Learn more about trigonometry here

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Drag the correct number of pieces to show how to find the area of the shaded figure in two different ways. Pieces can be rotated to fit.

Answers

Answer:

Step-by-step explanation:

As you can see from the attached picture below, the only figure that is equal to 5 whole units would be the final triangle. That is because it has 2 whole units in the middle, two half units in the top which equal 1 whole unit. And 2 units in each side corner which when combined would equal 2 whole units making it a total of 5. The rest of the shapes either hold more than 5 or less than 5 units. In the picture below, the top 3 shapes hold more than 5 units while the bottom two triangles hold less than 5.

hi guys this one is one whole question it just couldent fit please help

Answers

Answer:

Pentagon and rhombus

Step-by-step explanation:

Figure 1 is dilated to get Figure 2.

What is the scale factor?

Answers

Answer:

2/3

Step-by-step explanation:

6/9 in simplest form is 2/3. That's the scale factor :)

Help!! Il give thanks

Answers

Answer:80

Step-by-step explanation:

All angles in a triangle add up to 180.

70+30= 100

180-100= 80

There you have it

10x 3 + 5y 2 + 2xy – 4y 2 + 4xy – x 3
simplify

Answers

Answer:

6 x y + 27 x + 2 y

Step-by-step explanation:

Answer:

9x^3 + y^2 + 6xy

Step-by-step explanation:

10x^3 + 5y^2 + 2xy - 4y^2 + 4xy - x^3

9x^3 + y^2 + 6xy

A scale diagram of an Amoeba (a single celled organism) is 5cm wide, representing the real-life Amoeba's width of 0.1mm. Determine the scale factor of the scale diagram and select the best answer choice below. (note: there are 10 millimeters in 1 cm)

Answers

Scale 1:50. 50x0.1 =5

A dice is a perfect cube. The length of the side of the dice is 1 cm. The density of a dice is 2 g/cm.
What is the volume of the dice?

Answers

Answer: I handdbbdhddhdndnndnddnndjdjdjdjdjdjdjdjdjdjdjdjdjdjdjd

Step-by-step explanation:

Which measurement is closest to the area of the circle in square feet?

Answers

Answer:

314

Step-by-step explanation:

search "what is the area of a circle if the radius is 10"

If x - y=5, x + y = 59, and x > y, what is the value of xy?

Answers

Answer:

864

Step-by-step explanation:

∵X-Y=5    and.  

∵X+Y=59   add the two equations

∴2X=64

∴X=32 (substitute in any equation)

∴32 - Y=5

∴Y = 27

∴ So . X×Y=32 × 27=864

Answer:

x=32, y=27

Step-by-step explanation:

32-27=5

32+27=59

32>27

32x27=864

Is this a function?
A) No
B) yes

Answers

Answer:a

Step-by-step explanation:

no

(dont mind this wreath habit tdd fi gcs rgb yd UK FCC hash if sgf j.g ch hff vou j.g fyi utf fi oh fry it ey HD st ugh)

Can someone help me ASAP

Answers

the first answer is c

How many different 2-digit numbers can be formed from the digits 4, 6, and 8?

Answers

Answer:

6 answers

Step-by-step explanation:

46,48,68,64,86,84

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