Suppose that Eitan rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the
sum of the dice is 8 and B be the event that Eitan rolls doubles. Using the sample space of possible outcomes
below, answer each of the following questions,
What is P(A), the probability that the sum of the dice is 8?
What is P(B), the probability that Eitan rolls doubles?
What is P(A and B), the probability that the sum of the dice is 8 and Eitan rolls doubles?
Are events A and B independent?
Choose 1 answer:
A Yes, events A and B are independent events.
No, events A and B are not independent events.

Answers

Answer 1

Given :   Eitan rolls a fair six-sided die and a fair four-sided die simultaneously. A be the event that the sum of the dice is 8 and B be the event that Eitan rolls doubles

To find : probability of event A  , event B  , Event A or B  , Event A & B

Solution:

Six  Sides  Dice has { 1 , 2 , 3 , 4 , 5 ,6  }

4 Sides Dice has  = {  1 , 2 , 3 ,  4 }

Total possible outcome = 6 * 4  = 24

n(S) = 24

A  = Sum of Dice  = 8

(4 , 4)  , ( 5 , 3) , ( 6 , 2)

n(A) = 3

B  =   Double  ( means same number on each Dice )

B = ( 1 , 1) , (  2, 2) , ( 3 , 3) , ( 4, 4)

n(B) = 4

A U B  = ( 1 , 1) , (  2, 2) , ( 3 , 3) , ( 4, 4) ( 5 , 3) , ( 6 , 2)

n (A U B )   =  { 6 }

A ∩ B = { 4 , 4}

n(A ∩ B)  = 1

Probability of Event A  =  3/24  = 1/8

probability of Event B = 4/24   = 1/6

Probability of Event A or B  = 6/24  = 1/4

Probability of Event  A and B = 1/24

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basically f(c) is like y and 95c is like 95x. to find the inverse function you basically just reverse x and y and then solve for y again.

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Answer:

Step-by-step explanation:

because nine is greater than one, you get one whole for each time you can fit 9 in 3. The answer will be 3. (3x3 is nine)

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What is the measure of the angle?​

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Answer: 50 degrees

Step-by-step explanation:

wanting some extra help with factoring while knowing what method it would be like gcf or grouping etc

Answers

d) You have a difference of squares:

49y² - 9 = (7y)² - 3²

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a² - b² = (a - b) (a + b)

So,

49y² - 9 = (7y - 3) (7y + 3)

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3x² - 3x - 90 = 3 (x + 5) (x - 6)

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#1

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#2

3x²-3x-903(x²-x-30)3(x-6)(x+5)

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a rectangle has an area of 30 square meters and a permiter of 34 meters what are the dimensions of the rectangle

Answers

Answer:

2m by 15m

Step-by-step explanation:

Form a system of equations where x is the length and y is the width.

Area: xy=30

Perimeter: 2x+2y=34

x=2, y=15 (solve by substitution)

Determine whether [3x + 12 + x] is equivalent to [4(3 + x)]. Use properties of operations to justify your answer.

Answers

Answer:

3x + 12 + x = 4x + 12 becuase 3x and x are like terms so you can add them

4(3 + x) = 12 + 4x because 4 times 3 is 12 and 4 times x is 4x so you add them to get 12 + 4x which can be rearranged to equal 4x + 12

So in short: 3x + 12 +x is equivalent to 4(3+x)

a cube shaped shed has a 6 foot high walls if all the shed's walls are painted not including the floor or ceiling how much area will be painted

Answers

answer:288
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to get the area of one wall , you do height x width- in this case 6x6.
that equals 36 , which is the area for 1 wall.
since they’re painting all 8 walls , you multiply 36x8
that gets you the answer 288 (feet squared)

Witch is a following radical to …

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Answer:

B

Step-by-step explanation:

In an RPG game, each player can choose among 5 basic classes: Mage, Warrior, Archers, Priests, Monks. Each basic class can advance to 4 sub-classes. If each character can have two sub-classes at the same time, how many different combinations are there?

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Answer:

In RPGs a Character Class is a designation that determines a player's abilities and fighting style (and depending on the game possibly even their origin, education, and home area) often in the form of a job or archetype. A character class is defined by the abilities that it lends to a character — as such, two different characters with the same class are theoretically interchangeable, in that they have the same "power set" and can play the same role in gameplay because of their similar abilities. However, character class systems can come with varying levels of customization — ranging from characters of a given class being literally identical to having so much variety that character class is no longer even a good indicator of that character's abilities. While most common in fantasy Role-Playing Games, they have recently began to appear in other genres, such as trading card games and MOBAs.

Step-by-step explanation:

Which of the following is the growing elderly population attributed to?
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Answer: lower death rates

Step-by-step explanation:

the 5 degree measures of 5 angles are 30 degrees, 40 degrees, 35 degrees, 50 dgrees, and 55 degrees. Find the measdian angle measure. Change it to radius. round your answer to the nearest hundredth.

Answers

Answer is The measure of median angle is 0.700 radians.


A phone sells for $245. It is now on sale for off the original price.

April has a coupon for an extra 10% off the sale price. To the nearest
dollar, how much less than the original price will April pay for the
phone?

A. $25
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C. $68
D. $69

Answers

Answer:

$25

Step-by-step explanation:

[tex]current \: selling \: price = 245 \\ 10 \: percent \: of \: 245 = \frac{10}{100} \times 245 \\ = 0.1 \times 245 = 24.5 \\ 25 \: to the nearest dollar \\ he \: will \: pay \: 25dollars \: less[/tex]

$25

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Step-by-step explanation:

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Enter your answer in the box.

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Step-by-step explanation:

Please help me understand the question

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Answer:

○ [tex]\displaystyle \textcolor{black}{C.}\:triangle[/tex]

Explanation:

This is a triangular prism. Its faces are triangular, but the lateral faces are rectangular. All prisms will have lateral faces shaped as rectangles. Do not ever forget this.

I am joyous to assist you at any time.

The cost of tuition at a community college is $12,000 per academic year. Alejandro is eligible for $7,500 in financial aid, and he will save money for one year to pay for the rest of his first year of college. What is the minimum amount he needs to save each month? Question 9 options: $375 $450 $750 $600

Answers

The minimum amount he needs to save each month in order to be able to pay for his first year of college is $375.

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The second step is to divide $4500 by 12.

4500 / 12 = $375

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56 units needed, 6 units per case

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Answer:

10 cases 4 units over

Step-by-step explanation:




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Answers

given:

circumference= 37.68 km

to find:

the circle's radius.

solution:

[tex]r = \frac{c}{2\pi} [/tex]

[tex]r = \frac{37.68}{2\pi} [/tex]

[tex]r = 5.99696 \: km[/tex]

[tex]r =6 \: km[/tex]

The tent shown is a triangular prism. What is the amount of space inside the tent?


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B. What formula will find the space inside the tent ? what is the space inside the tent?

Answers

The length of the tent to the nearest foot, from the front to the back is 42 ft. the total amount of space inside the tent is 816.83 cubic feet.

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= 15 + 6 + 15+ 6

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Answers

So our equation currently is ⇒ [tex]x^2+y^2-10x+8y-8 = 0[/tex]

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Hope that helps!

what is the sum of 10000+101010

Answers

Answer:

10000+101010 = 111010

[tex] \orange{ \boxed{ \sf{111010}}}[/tex]

Answer:

10000+101010 = 111010

Step-by-step explanation:

10000+101010 = 111010

The running event is 3.1 miles long. Supposed it takes you 8 minutes to run a mile. What this time allow you to reach your goal? Explain your reasoning. At 8 minutes per mile, it would take you 10 minutes to run 3.1 miles. You cannot meet your goal because your total running time added to your swimming and biking times is less than 100 minutes

Answers

The time it would take you to run 3.1 miles given the time it takes you to run a mile is 24 minutes 48 seconds.

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In order to determine the time, multiply 3.1 miles by 8 minutes

3.1 x 8 = 24.8 =  24 minutes 48 seconds.

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In the xy-plane, the graphs of y = x2 - 8x + 18 and y = - 4x + 14 intersect at point (a, b). What is the product of a and b?

Answers

Answer:

12 and 5

Step-by-step explanation:

Which of the following are solutions to the equation below?

Check all that apply.

4x^2 + 20x + 25 = 49

A. x = -1

B. x = 1

C. x = 6

D. x = -6

E. x = √7-5/2

F. x = -√7-5/2

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve the given equation ~

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 = 49[/tex]

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 - 49 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x - 24 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:4( {x}^{2} + 5x - 6) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x - x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(x + 6) - 1(x + 6) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x + 6)(x - 1) = 0[/tex]

Hence, we get -6 and 1 as our roots ~

So, the correct choices are : B and D

What is the value of s?
s
880
370

Answers

Answer: 37 degrees

Step-by-step explanation:

Vertical angles are congruent.

Question 10 of 10
Which of the following graphs is described by the function given below?
Y = x - 6x -7
• A. Graph A
• B. Graph B
• C. Graph C
• D. Graph D

PLEASE!!!!!!!

Answers

Answer:

Graph A

Step-by-step explanation:

The y intercept of the graph is (0, -7), which is what the graph's y intercept lies on.

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