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?

Answers

Answer 1

Answer:

The answer is "Option A"

Step-by-step explanation:

In point A:  

Rolling an indivisible prime number:  

The 2 can be moved just 1 way (1,1)  

The 3 can be moved two different ways (1,2) or (2,1)  

The 5 can be moved four different ways (1,4) or (2,3) or (3,2) or (4,1)  

The 7 can be moved six different ways (1,6) or (2,5) or (3,4) or (4,3) or (5,2) or (6,1)  

The 11 can be moved two different ways (5,6) or (6,5)  

There are 26 approaches to move two dice at a time.  

The likelihood of rolling an indivisible number is: [tex]=\frac{(1 + 2 + 4 + 6 + 2)}{36} =\frac{15}{36}[/tex]

Because rolling an indivisible number is worth 15 focuses, the normal worth is [tex](\frac{15}{36}) \times 15 = 6.25[/tex]

In point B:

When the rolling is a numerous of 3:  

The 3 can be moved two different ways (1,2) or (2,10  

The 6 can be moved five different ways (1,5) or (2,4) or (3,3) or (4,2) or (5,1)  

The 9 can be moved four different ways (3,6) or (4,5) or (5,4) or (6,3)  

The 12 can be moved just 1 way (6,6)  

The likelihood of rolling a numerous of 3 will be:[tex]= \frac{(3 + 6 + 9 + 12)}{36} = \frac{12}{36}[/tex]

because the rolling in the various of 3 is worth 12 focuses, the normal worth is[tex](\frac{12}{36}) \times 12 = 4[/tex]


Related Questions

ACELLUS HELL ASAP
Find the probability that the pitcher will
throw 4 or fewer pitches to a batter.

Answers

4/5 or 0.8 or 80%

hope you have an amazing day <3

The probability that  the pitcher will throw 4 or fewer pitches to a batter is 0.9.

What is Probability ?

The way to find the likeliness of an event is called Probability.

It is given that

Pitcher is throwing ball

The probability that he throws 4 or fewer pitches to a batter is = ?

The no. of favourable outcomes for the given condition is

P(X ≤4 ) = P(X=1) + P(X =2) + P(X=3)+P(X=4)

Total Outcomes = 15+20+40+15+20

Total outcomes = 100

Favourable outcomes = 15+20+40+15

Favourable Outcomes = 90

Probability =  Favourable Outcomes / Total Outcomes \

Probability = 90/100 = 0.9

Therefore the probability that  the pitcher will throw 4 or fewer pitches to a batter is 0.9.

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

help needed asap will give brainliest

Answers

Answer:

the corect answer for this question is (-x,y)

What is the difference between an inscribed angle and a central angle?

Answers

Answer/Step-by-step explanation:

An inscribed angle is an angle that is formed by two chords in a circle. The vertex of an inscribed angle is at any point on the circumference of the circle.

On the other hand, a central angle is an angle that is formed by two radii of a circle. The vertex of a central angle is at the centerbof a circle.

Thus, from the diagram attached below, <EFG is an inscribed angle while <EOG is the central angle of the circle O.

Inscribed angle = ½ of the central angle.

A line with a slope of -5 passes through the point (-3, 1). Write the
equation of the line in slope-intercept form.

Answers

Answer:

1/2

Step-by-step explanation:

explain truth tables and how they work​

Answers

A truth table is a way of organizing information to list out all possible scenarios. We title the first column p for proposition. In the second column we apply the operator to p, in this case it's ~p (read: not p). So as you can see if our premise begins as True and we negate it, we obtain False, and vice versa.

3 cm
20 cm
4 cm
Find the volume of the rectangular prism.
[?] cm

Answers

Remember that to find the volume its

Length x width x height

Plug them in and you get 240 cm

The length of a rectangle is 3 inches longer than twice its width, where w is the width of th
rectangle. The area of the rectangle is 90 square inches. *

Answers

Answer:

6 in and 15 in

Step-by-step explanation:

Given:

l = 2w + 3A = 90 in²w = ?l = ?

Area formula:

A = lw

Substitute values and solve for w:

(2w+3)w = 902w² + 3w = 902w² + 3w - 90 = 0w = (-3 ± [tex]\sqrt{3^2 - 4*2*(-90)}[/tex])/2*2w = (-3 ± √729)/4w = (-3 ± 27)/4w = 6 (positive root only)

The width is 6 in, find the length:

l = 2*6 + 3 = 15 in

width be x

Length be 2x+3

Now

area=Length×Breadthx(2x+3)=902x²+3x=902x²+3x-90=0

On solving we will get

x=6[Take positive]

Now

Length=2(6)=3=15in

Eighty-one million four hundred twelve thousand six hundred fifty​

Answers

Answer:

81,412,650

Step-by-step explanation:

im not sure if this is what ur asking for??

The college dean obtains an alphabetical list of full-time students at her college and she selects the 26 names on that list and interviews those students to find them. Amount of student debt incurred by each of them. She uses the results to estimate the average (mean) amount of student debt incurred by college students in the united states. What type of sampling is used?

Answers

Answer:

The right approach is "Systematic sampling".

Step-by-step explanation:

Some kind of probabilistic sampling system where population or sampling units from some kind of broader group have been randomly chosen, although at a predetermined periodic interval, is termed as Systematic sampling.Where there would be a moderate possibility of information manipulation, it's indeed better to simply such samples.

find the volume of the composite solid​

Answers

Answer:

156

Step-by-step explanation:

Volume Rectangular Prism Formula

V = L * W * H

Givens

L = 6

W = 6

H = 3

Solution

V = 6 * 6 *  3

V = 108

Volume Pyramid

Formula

V = 1/3  * B * H

Givens

B = 6*6

H = 4

Solution

V = 1/3 * 6*6 * 4

V = 1/3 * 36 * 4

V = 48

Total

Total = 108 + 48 = 156

Ty and his 3 brothers share a pizza equally.Which of these shows how much of the pizza did tys brothers have

Answers

3 fourths - No matter how many pizzas there are, if we divide each pizza to 4 slices, each one gets one slice from each pizza, that is 1/4 of a pizza for each brother. Since there are 3 pizzas, simply multiply 3 x 1/4 = 3/4

Answer:3/4

Step-by-step explanation:

Have a good day!

Please help i know this is kind of easy but I am having a hard time with it unfortunately​

Answers

Answer:

C

Step-by-step explanation:

y= 60(2)+10

y=130

y=65(2)

y=130

What are the area and the circumference of the circle at the right?

Answers

Answer:

Step-by-step explanation:

Refer to the prism at the right. If all the
dimensions of the prism doubled, would the volume double? Explain your
reasoning


Pls help this is due tomorrow

Answers

if you were to double the dimensions of the prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase, as well as doubling the volume :) hope this helps!!

Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves. If his ship hasn't already been hit, Captain Ishaan has probability \dfrac{2}{5} 5 2 ​ start fraction, 2, divided by, 5, end fraction of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss. If his ship hasn't already been hit, dread pirate Michael has probability \dfrac{3}{8} 8 3 ​ start fraction, 3, divided by, 8, end fraction of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss. If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?

Answers

Answer:

2/5*0=0

Step-by-step explanation:

i did it on khan

[Image holds question]
answer and step by step explanation needed please ..​

Answers

Answer:

The answer is D

Step-by-step explanation:

Volume of a cube = edge x edge x edge

volume of one cube= 4x4x4=64

64x3= 192

Question (point
Find the volume of the pure below leave in terms of IT for answers that contain T Round your answer to the nearest hundredthir
necessary
811
101
214.21 10
186,67
115.78
Od
560
Question 61 point)

Answers

Answer:

186.67 ft³

Step-by-step explanation:

Volume of a pyramid

= [tex]\frac{1}{3} [/tex] × base area × height

The volume of the pyramid

[tex] = \frac{1}{3} \times (8 \times 10) \times 7[/tex]

[tex] = \frac{1}{3} \times 80 \times 7[/tex]

[tex] = 186.666...[/tex]

= 186.67 ft³ (rounded to the nearest hundredth)

HELP!(WILL GIVE BRAINLIEST) I ALSO HAVE LOTS OF POINTS IN MY PROFILE.

Julie Fargus deposits $450 in a savings account at City Bank. The account pays an annual interest rate of 3.125 percent. She makes no other deposits or withdrawals. After nine months the interest is calculated. How much simple interest does her money earn?

Answers

Answer:

$10.55

Step-by-step explanation:

Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which determines the number of hours, h, Manuel worked.

Answers

Answer:

Number of hours= 48 hours

Step-by-step explanation:

Giving the following information:

Hourly rate= $7.25

Total earned= $348

To calculate the number of hours worked, we need to use the following formula:

Total earned= hourly rate*number of hours

number of hours= total earned / hourly rate

number of hours= 348 / 7.25

number of hours= 48 hours

Find the total surface area of each solid below. Round your answer to the nearest whole number.
4 m
7 m
10 m
11m
10 m
Total: A =
m2
Blank 1:___

Answers

To find area, you use L + W + H.
Add up all the numbers given and you’ll be able to find surface area.

4 + 7 + 10 + 11 + 10 = 42 m^2

What was his mistake????

Answers

he didn't distribute 1/3 to x and 15 before solving

Which angle measures of 45°

Answers

Answer:

first

Step-by-step explanation:

half of right angle

can someone solve this please

Answers

Answer:

A

Step-by-step explanation:

18÷100

=18% 18 of 100 that means 18/100

PLZZZZZ HELPPP ILL GIVE BRAINLIEST

Answers

Answer:

340

Step-by-step explanation:

Answer:

100-60

Step-by-step explanation:

Used special calculater for this kind of problem.  

Identify the value of c in the following quadratic function f (x) = -2x^2+ 3x – 4

Answers

Answer:

-4

Step-by-step explanation:

Given function

f(x) = -2x² + 3x - 4

Comparing with ax² + bx + c We get

c = - 4

Hope it will help :)❤

Please help! Twenty students are arranged randomly in a row for a class picture. Paul wants to stand next to Phyllis. Find the probability that he gets his wish.

Answers

Answer:

A classroom is arranged with 8 seats in the front row, 10 seats in the middle row, and 12 seats in the back row. The teacher randomly assigns seats to students as they enter the classroom.

Step-by-step explanation:

Hey can you help me fast!!

Answers

I think it’s 36 square feet

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

no the quadrilateral isn't a parallelogram

Step-by-step explanation:

For it to be a parallelogram, the opposite sides must be parallel to each other and in this case it's not.

A shirt is originally priced at
$
24.50
. The shirt goes on sale for
30
%
off the original price. How much money, to the nearest cent, does the shirt cost including
7
%
tax on the sale price?

Answers

Answer:

$18.35

Step-by-step explanati

Your Welcome

AJ borrowed $4,000 for 5 years at 6% simple interest rate. How much interest did he pay?

Answers

Answer:

800 dollars

Step-by-step explanation:

800 dollars Is the answer to this question.
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