You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal
size. In this game, you win if the spinner lands on 1, 4, or 7. Your friend wins if the spinner lands on 2.5. or 8.
You tie if the spinner lands on 3. 6. or 9.
All the possible outcomes of the game are listed in the sample space
S = {1,2,3,4,5,6,7,8,9).
If we take A = {1.3.4.6:7.9} as a subset of the sample space, which of the statements below describe the
subset A?
Choose all answers that apply:

Answers

Answer 1

Answer:

-The subset consists of all of the outcomes where you do not lose.

-The subset consists of all of the outcomes where your friend loses, or there is a tie.

Step-by-step explanation:

Khan Academy

Answer 2

Statements that describe the subset A are option (a) and option (d).

What is a subset?

A set of which all the elements are contained in another set. Subset can be empty or equal to the set.

Given sample of space S = {1,2,3,4,5,6,7,8,9}

And subset M of S = {1,4,7} where you win in the spinner game.

If the spinner lands on the subset N of S = {3,6,9} , you tie.

Given A = {1,3,4,6,7,9,} is a subset of S.

Now to verify the options;

In option (a) ;

The subset consists of all the outcomes where you win that means your friend loses or there is a tie. Because subset A does not contain any elements of subset {2,5,8},  where you lose.

In option (b) ;

The subset consists of all the outcomes where your friend ties. That means subset should only contain the elements of subset N = {3,6,9}. Which is clearly not. So this option is incorrect.

In option (c) ;

The subset consists of all the outcomes where there is not a tie and your friend does not win. That means subset S should only contain the elements from {1,4,7}. which is contradiction so this option is also incorrect.

In option (d) ;

The subset consists of all the outcomes where you do not lose. That means subset does not have any element from {2,5,8}.

Hence Correct answers are option (a) and option (d).

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The complete question is ;

You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal size. In this game, you win if the spinner lands on 1,4, or 7. Your friend wins if the spinner lands on 2,5, or 8. You tie if the spinner lands on 3,6, or 9.

All the possible outcomes of the game are listed in the sample space S= { 1,2,3,4,5,6,7,8,9} If we take A= { 1,3,4,6,7,9} as a subset of the sample space, which of the statements below describe the subset A?

a) The subset consists of all the outcomes where your friend loses or there is a tie.

b) The subset consists of all the outcomes where your friend ties.

c) The subset consists of all the outcomes where there is not a tie and your friend does not win.

d) The subset consists of all the outcomes where you do not lose.


Related Questions

Classify the following triangle. Check all that apply.
51
12.1
/59
70"
10
A. Scalene
I B. Equilateral
O C. Right
D. Acute
O E. Obtuse
O F. Isosceles

none of the answers I saw had the same triangle ​

Answers

Answer:

acute

Step-by-step explanation:

the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral

Answer:

it D . acute and A .scalene

Please help ASAP will mark brainliest

Answers

the points are (1,8) :)

Which ordered pair is a solution of the equation?
2x + 4y = 6x - y

a. only 4,5
b. only 5,4
c. both 4,5 and 5,4
d. neither

pls answer​
ill mark brainliest

Answers

You Answer is: 4x - 5y = 0

Answer:

b. only 5,4

Step-by-step explanation:

Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36

Answers

Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556.  That's probably good enough to choose A.

Let's do it the way they want.

[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]

[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]

Answer: A

Estimate worked.  Sine is approximately linear when the range is small enough.    

Three people hiked the same 1 mile trail. The distance for each hiker is reperesented in the drawing. Show about where the 1 mile mark should be on each drawing.Explain​

Answers

Answer:

Okay, so for the first line, measure the distance between the start and the 0.5 miles. Then add that distance to the other side of the 0.5 miles and then put a mark.

For the second one measure the distance between the start line and the 0.25 miles and then add that distance to the other side three more times and then put a mark.

And for the last one, use the distance that you used for the second one and put it after the 0.75 mark.

Step-by-step explanation:

A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds?

Answers

We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6


The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,
and 30. Why might it be misleading to Emerson to say that she averages 13
points per game? *

Answers

Answer:

because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire

Step-by-step explanation:

if im wrong im sorry if not pls brainlyest

Simplify.

8(12 - p)

20 - (8+p)
96 - 8p
96 - p
96p

Answers

So the right answer is of option C

Look at the attached picture

Hope it will help u ..

Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2

Answers

Answer:

35 cm2

Step-by-step explanation:

Answer:

The area of the trapezoid would be 30 cm squared.

Step-by-step explanation:

Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions

Answers

Answer:

8n + 1, where n is a whole number greater than or equal to 0.

Step-by-step explanation:

Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.

The sequence is an arithmetic sequence.

The pattern is 1 + (n - 1)8.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

1, 9, 17, 25, 33,....

This is an arithmetic sequence.

The first term is 1.

a = 1

The common difference is 8.

d = 8

i.e

9 - 1 = 8

17 - 9 = 8

25 - 17 = 8

The nth term of an arithmetic sequence.

= a + (n -1)d

= 1 + (n - 1)8

Thus,

The pattern of the sequence is 1 + (n - 1)8.

Where n is the term of the number.

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find the volume, help please all numbers are in inches, will mark brainleist ​

Answers

Prism volume will be base area times height.  We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24.  The prism has a height 13.  Multiplying we get a volume of 24×13 = 312 cubic inches.

Answer:  312 cubic inches

Maya is researching energy costs. She made a table of the cost for different numbers of gallons of gasoline. How much will 12 gallon cost?
A.$7.80

B.$23.40

C. $31.20

D. not enough information

Answers

Answer:

The answer is B

Step-by-step explanation:

BEcause I took the test

Answer:

B. $23.40

Step-by-step explanation:

1. You have to divided the cost by the number of gallons to get the the cost per gallon

2. multiply the number of gallons by the cost per gallon that you found

Then you have your answer!

Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8

Answers

381.5 because it is......

Math question down below

Answers

Answer:

2 3/8

Step-by-step explanation:

5 1/8 - 2 3/4

= 5 1/8 - 2 6/8

= 4 9/8 - 2 6/8

= 2 3/8

MULTIPLE CHOICE:

A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3

Answers

Answer:

C

Step-by-step explanation:

The first term -2 is also -B; therefore A and B can be eliminated.

-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:

Answers

Answer:

80? bc yhu cant use solution a because it only has 35...i think

Step-by-step explanation:

if im wrong sorry

The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.

From the information given, we can set up the following equations:

Equation 1: The total amount of solution is 90 ounces, x + y = 90

Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90

Simplifying Equation 2:
0.35x + 0.80y = 36

To solve these equations, we can use substitution or elimination. Let's use the substitution method.

From Equation 1, we can express x = 90 - y and substitute it into Equation 2:

0.35(90 - y) + 0.80y = 36

31.5 - 0.35y + 0.80y = 360

45y = 4.5y = 10

Substituting y = 10 back into Equation 1:

x + 10 = 90

x = 80

Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

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I NEED HELPPPPP!!!! PLZZZ

Answers

Answer:

13.5

Step-by-step explanation:

Look at the data points on the graph:
Is this relation a function?

Answers

I am pretty sure that it is a function. Every input has one output. Here is a memory device that my teacher gave us. Hopefully it helps!!

omg please help meee fastttt​

Answers

Answer:

Jill will make less money if they both work 3 hours

Step-by-step explanation:

Trust me. I hope this helps :)

The last option(D)

PLSSSS help
Marking BRainlist

Answers

Answer: x = 14 for the first one, x = 4 for the second

Step-by-step explanation:

8x - 9 = 7x + 5

subtract 7x from both sides

x - 9 = 5

add 9 to both sides

x = 14

8x + 9 = 3x + 29

subtract 3x from both sides

5x + 9 = 29

subtract 9 from both sides

5x = 20

divide both sides by 5

x = 4

the first one is

x = 14

the second one is

x = 4

|n|=5 what is the value for n.

A -5or5
B 0 and 5
C -5 only
D 5 only

Answers

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x

Answers

Answer:

d. 2x^2-8x

Step-by-step explanation:

ure just doing distributive property.

The product of 2x(x-4) is 2x² - 8x

HOW TO OPEN BRACKET?

In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.

According to this question, we are given the following expression: 2x(x-4)

This means that 2x multiples x and -4 independently.

That is; 2x × x and 2x × -4

2x² - 8x

Therefore, the product of 2x(x-4) is 2x² - 8x.

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Solve for x.

-30 = 5(x+1)​

Answers

Answer:

−30=5(x+1)

Step 1: Simplify both sides of the equation.

−30=5(x+1)

−30=(5)(x)+(5)(1)(Distribute)

−30=5x+5

Step 2: Flip the equation.

5x+5=−30

Step 3: Subtract 5 from both sides.

5x+5−5=−30−5

5x=−35

Step 4: Divide both sides by 5.

5x5=−355

x=−7

Answer:

x=−7

Answer:

x = -7

Step-by-step explanation:

Since this problem has the distributive property, we can simplify the problem.

-30 = 5x + 5

Now we have to subtract 5 from both sides because of the +5.

-35 = 5x

To find the answer, we have to move all the real numbers to one side, the variable on the other. To do this, we can simply divide both sides by 5.

-7 = x

x = -7

Please help ;-;, I really need it-

Answers

Answer:

See below

Step-by-step explanation:

For a more detailed explanation, take a look at PDF below;

Surface Area of First Figure; 544 in^2,

Surface Area of Second Figure; 276 ft^2,

Surface Area of Third Figure; 1240 yd^2

Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x=15

Answers

Answer:

21

Step-by-step explanation:

It is given that y varies inversely with x.

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]       ...(i)

where, k is constant of proportionality.

It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.

[tex]-105=\dfrac{k}{-3}[/tex]

[tex]-105\times (-3)=k[/tex]

[tex]315=k[/tex]

Now,

[tex]y=\dfrac{315}{x}[/tex]

Substitute x=15 in the above equation.

[tex]y=\dfrac{315}{15}[/tex]

[tex]y=21[/tex]

Therefore, the value of y is 21 when x=15.

PLEASE HELP IM DUMB AND I NED THIS ASAP

Answers

Width (7.8) x length (7.8) x width (7.8) = 474.552

PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY

Answers

Answer:

no it's not a reflection

Step-by-step explanation:

a reflection would not be upside down like that, it would be the same thing rotated

Solve the equation in the image

Answers

Answer: 55

Step-by-step explanation:

[tex]\sqrt[3]{4x-4}=6[/tex]

Begin by cubing each side of the equation to get rid of the cubic root.

[tex](\sqrt[3]{4x-4})^3=(6)^3\\ 4x-4=216[/tex]

add 4

[tex]4x-4+4=216+4\\4x=220[/tex]

Divide by 4

[tex]\frac{4x}{4}=\frac{220}{4}[/tex]

[tex]x=55[/tex]

Answer:

it is zero

Step-by-step explanation:

Which expression is equivalent to 10√5

Answers

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

Emma can run 4.5 miles in 36 minutes. How many miles can she run in 2 hours if she keeps a constant pace?

Answers

Answer:

13.34

Step-by-step explanation:

Answer:

15 miles is the answer, I hope this helps

Step-by-step explanation:

1. Set up a proportion

2. Convert 2 hours to 120 minutes

3. Cross multiply then divide the remaining number in the proportion

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