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


Springs are used to measure the mass of objects. The extension of a spring, E centimeters, is
directly proportional to the mass, M kilograms, of the object hanging from the spring. A 4-kg
load stretches a spring by 2.5 cm. If a 6-kg load is hung on the spring, find the extension of the
spring in centimeters.

Answers

Answer:

The extension of the 6-kg load is 3.75 cm

Step-by-step explanation:

4/2.5 = 6/x

Cross multiply:

4x = 15

15/4 = x

x = 3.75

A recipe calls for 1/2 of a teaspoon of sugar for every 15 cookies. If you are going to make 75 cookies for a party, how many teaspoon of sugar will you use.

Answers

Answer:

2.5 teaspoons

Step-by-step explanation:

75/15 = 5

1/2 · 5 = 2.5

Answer:

2.5 teaspoons of sugar

Step-by-step explanation:

[tex]\frac{15}{0.5} =\frac{75}{y}[/tex]

Cross multiply.

15 × y = 0.5 × 75

15y = 37.5

15y ÷ 15 = 37.5 ÷ 15

y = 2.5

Which transformation carries the regular pentagon onto itself?

Answers

Answer: rotations

With regard to the regular pentagon, the student describes the center of rotation as the point where the diagonals intersect. The student indicates that rotations of degree 72, 144, 216, 288, and 360 clockwise and counterclockwise about this point will carry the pentagon onto itself.

HOPE THIS HELPS

Evaluate:
-6 ÷ 3
(-2)(-3)
8 - 4 ÷ -2
14 - 8 ÷ 4 × 0(5 - 3)

Answers

-6 ÷ 3=__

6 ÷ 3=2

-+2

=-2

(-2)(-3)=__

-2*-3

=6

8 - 4 ÷ -2=__

4÷-2=-2

8--2

=10

4 - 8 ÷ 4 × 0(5 - 3)

=4

hope this helped ○( ^皿^)っ

What is the surface area of a cube that has a radius of 9 ft and height of 3 ft

Answers

Answer:

If it has a radius of 9 then the length will be 18 and it would be a 18 by 3 shape and that's not a cube....

Step-by-step explanation:

what type of question can be solved using Cramer's rule?

Answers

Answer:

check the pdf .

Step-by-step explanation:

the temperature in november was less than 55 degrees every day which inequality shows the temperature in november

Answers

Answer:

a. x < 55

Step-by-step explanation:

We know that the temperature in November was less than 55° every single day, we are then asked to find which inequality out of the four given shows the temperature in November.

To do so, take the most crucial information, "the temperature in November was less than 55° every single day." The words "less than" makes us know that we will be using the sign "<". Looking at the answers, we see only one that uses it, and that is a.

Therefore a is the correct answer.

A student has taken three math tests so far this semester. His scores for the first three tests were 65​, 67​, and 69. Suppose his test scores continue to improve at the same rate. What will be his grade on the sixth​ (and final)​ test? What will be his total score for all six​ tests?

Answers

Answer:

75

Step-by-step explanation:

Scores for his first tests were 65, 67, 69.

Rate of change: +2

y=2x+63; 63 is the 0th test he took, his first test was 65, so 65-2=63. 2x is the rate of change, his tests scores increase by 2 each time.

x=6, 6th test score

y=2(6)+63

y=12+63

y=75

So, on his 6th test he will get a score of 75

What is the length of the unknown
leg of the right triangle?

Answers

Answer:

2ft

Step-by-step explanation:

The formula for the area of a circle is A = π r^2? Which equation shows the formula in terms of r?

Answers

The correct answer is C

List all the multiples of 3 less than 14.

Answers

Answer:

3, 6, 9, 12

Step-by-step explanation:

3 × 1 = 3

3 × 2 = 6

3 × 3 = 9

3 × 4 = 12

Answer:

3 6 9 12

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

3 x 3= = 9

3 x 4 = 12

3 x 5 = 15 <------ TOO MUCH

Multiples are numbers that can be divided by that number you are finding out the multiples.


Help I’ll give brainliest!

Answers

Answer:

-2.8

Step-by-step explanation:

Gradient/slope = [tex]\frac{-11 - 3}{3--2}[/tex] (change in y / change in x)

= [tex]\frac{-11 - 3}{3+2}[/tex] =[tex]\frac{-14}{5}[/tex]= -2.8

3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers

Answers

Answer:

2, 5, 8

Step-by-step explanation:

For starters, let us assume that the numbers are x-d, x, and x+d.

Where d is the common difference between terms.

This mean that we can say, from the question

x-d + x + x+d = 15

3x = 15,

x = 5,

This means that the terms are 5, 5-d and 5+d.

On the other hand,

(5-d) * 5 * (5+d) = 80

(5-d) * (5+d) = 80/5

(5-d) * (5+d) = 16

25 - d² = 16

d² = 9

d = + or - 3.

Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.

select the inequality that is represented by the number line below
NO LINKS OR I WILL REPORT

Answers

The answer is choice A :)

Answer:

a) x<0

Step-by-step explanation:

the circle is not solid so it’s just a less than a sign and the arrow is going less than 0 so x is less than 0 is the answer

hope this helps :)

HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

the answer is what you think it is fam on foenem

6+1+7+8+9+5+4+6+7+7+7+7+7

Answers

Answer:81

Step-by-step explanation: calculator cause I got Mind jambled-

Answer:

[tex]81[/tex]

Step-by-step explanation:

6 + 1 + 7 = 14

8 + 9 + 5 = 22

4 + 6 + 7 = 17

7 + 7 + 7 + 7 = 21.

now add all of the results together.

14 + 22 + 17 + 21 = 81

hence, the answer is 81.

plz help with both questions (no link plz) 15 point and will make brainly

Answers

Answer:

question 5) 340.5

Step-by-step explanation:

abigails decorating buissness charge for every hour = $100+$13.50= 113.5

for 3 hour charges will be= 113.5 x 3= 340.5

hope it helps ❤️

Help, this is confusing for me

Answers

Answer:

B: 163,343

Step-by-step explanation:

V=πr²h 34²=1156, 1156×45=52020, 52020×3.14(π)=163,342.8, then round up.

Cuanto de dos mas dos

Answers

Answer:

Probably 4

Step-by-step explanation:

My day was pretty great, so I felt like answering this question to help out in any way possible. I hope to hear about your day, too, soon!

i need heeeeeelp please and thank you :)

Answers

The answer the the question is A.

Express y in terms of x.
Variables x and y are related so that, when
[tex]y ^{2} [/tex]
is plotted on the vertical axis
and
[tex]2 ^{x} [/tex]
is plotted on the horizontal axis, a straight-line graph which passes
through the point (8, 49) with gradient 3 is obtained.
a Express ya in terms of
[tex] {2}^{x} [/tex]
.
b Find the value of x when y = 11.​

Answers

Answer: Saya benar-benar membutuhkan poin tetapi saya tidak ingin dilaporkan jadi saya meletakkan ini adalah terjemahan untuk bahasa yang berbeda. Saya minta maaf untuk umpan atau apa pun namanya tetapi saya benar-benar membutuhkan poin.

Step-by-step explanation:

Bilbo found a great deal on rings. He bought a ring for 70% of the original price. If he saved $45, what was the original price?

Answers

Answer: $150

Step-by-step explanation:

If Bilbo bought the ring for 70% of the original price, this means that he saved:

= 100% - 70%

= 30%

$45 is therefore 30% of the original price.

Assuming the original price is x:

30% * x = 45

x = 45/30%

x = $150

20 points!!! Permutations and combinations question.

Answers

Answer:

7,9,10

hope it helps

have a good night

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces.

Which factorization could represent the number of water bottles and weight of each water bottle?

6(10x2 + 8x + 2)
12(5x2 + 4x + 2)
6x(10x2 + 8x + 2)
12x(5x2 + 4x + 2)

Answers

The answer is B. 12(5x^2+4x+2)

Answer: 12(5x2 + 4x + 2) is correct answer

Step-by-step explanation:

60x2 + 48x + 24  

if we take 6 as a common factor

6(10x^2+8x+4)     so first option is not true

if we take 12 as a common factor

12(5x2 + 4x + 2)

6x & 12x can not  be taken as common factor..

so the correct option is 2nd one..

Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be

Answers

Answer:

$130,626.56

Step-by-step explanation:

Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be?

We are told that: She obtained a 25/8 balloon mortgage at 3.85%

This means the loan is amortized for 25 years and she would be monthly payment for 8 years before making the balloon payment.

Step 1

We find Monthly payments

Pmt = (A * i * (1 + i)ⁿ) / ((1 + i)ⁿ - 1)

Where:

Pmt - monthly payment;

A - Loan amount = $168,125

i - periodic interest rate = 3.85% = 0.0385

and

n - number of periods =

1 year = 12 months

8 years = x

x = 8 × 12 months = 96 months

n = 96 months

Pmt = (168,125 × 0.0385 * (1 + 0.0385)⁹⁶) / ((1 + 0.0385)⁹⁶- 1)

Pmt = $873.56

Step 2

When we find the monthly payment, we can compute the balance due after the term of a balloon loan.

B = (A * (1 + i)ⁿᵇ) - Pmt / i * ((1 + i)ⁿᵇ - 1)

Where:

B - Balloon payment

nb - Number of balloon loan periods =

Pmt - Monthly payment = $873.56

B = (168,125 × (1 + 0.0385)⁹⁶) - 873.56 / 0.0385 × ((1 + 0.0385)⁹⁶- 1)

B = $130,626.56

Mr. Garvey is almost finished working on his rectangular patio. He has ordered enough patio stones to cover an area of 600ft2. He knows that his yard is 30ft wide. He also remembers that there is an equation for areas of a rectangle: FASTTTTT

Answers

Answer:

20 ft

Step-by-step explanation:

Area of a rectangle = length x width

600 ft^2 = 30 ft x length

length = 600 / 30

= 20 ft

50 pt = ?gal

50 pt = ?pt

PLEASE HELPPPP ‍

Answers

Answer:

50 pints is 6.25 gallons.

What do you mean by the second one?

Step-by-step explanation:

50 ÷ 8 = 6.25

Answer:

50 pints is 6.25 gallons.

50 ÷ 8 = 6.25

Step-by-step explanation:

The maintenance crew of a hotel has to monitor the temperature of the hotel pool and hot tub. To enhance comfort, the management team requests that the mean pool temperature and the mean hot tub temperatures not differ by more than 15 degrees. To estimate the difference in these mean temperatures the maintenance crew selects a random sample of 8 times to check the hot tub temperature and a random sample of 10 times to check the pool temperature. Although the sample sizes are small, the distribution of temperature for the pool and for the hot tub does not show strong skewness or any outliers. The mean pool temperature is 86 degrees with a standard deviation of 3 degrees. The mean hot tub temperature is 101 with a standard deviation of 1.8 degrees. What is the correct 95% confidence interval for the true difference in the population means (hot tub – pool)? Use the conservative df.

Answers

Answer: Option D

Explanation: 100%

The sum of a number and 2.

Answers

Answer:

whats the question

Step-by-step explanation:

Help please will give brainiest
Write the equation of the line in Slope-Intercept Form.
(0,4) (3,2)

Answers

Answer:

y = -3/2x+ 4

Step-by-step explanation:

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