Two friends each choose a slice of pizza with one topping. The available
toppings are pepperoni (P), onions (O), meatballs (M) and sausage (S).
Write an organized list using the format (Friend 1. Friend 2) to represent
the sample space of toppings chosen between the two friends.​

Answers

Answer 1

Answer:

Sample space: PP, PO, PM, PS, OP, OO, OM, OS, MP, MO, MM, MS, SP, SO, SM, SS.

Step-by-step explanation:

Suppose Friend 1 select pepperoni, then Friend 2 can choose between 4 options. This gives us 4 possibilities. Then, for each selection made by Friend 1, there are 4 possibilities, given that Friend 1 has 4 different options,  the sample space consists of 16 outcomes.


Related Questions

The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 9.54 11.00 24.00

Answers

Answer:

Step-by-step explanation:

Hypotenuse^2=3^2+8^2

Hypotenuse^2=9+64=73

Hypotenuse =square root of 73

Hypptenuse =8.54

Answer:

8.54

Step-by-step explanation:

I took a test

The sides of a cube are numbered 4, 5, 6, 7, 8, and 9. What is the probability of rolling a 6?

Answers

Answer:

1/6

Step-by-step explanation:

out of 6 numbers in total there is only one 6 therefore there is only 1/6 chances

[tex]\frac{1}{6}[/tex]

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]

Sides of a cube are numbered [tex]4,5,6,7,8,9[/tex]

Probability [tex]=[/tex] Number of possible outcomes [tex]\div[/tex] Total number of outcomes

Number of possible outcomes [tex]=1[/tex]

Total number of outcomes [tex]=6[/tex]

Probability of rolling a [tex]6=\frac{1}{6}[/tex]    

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simplify 1/9 - 1/x over 1/81 - 1/x^2

Answers

Answer:

9x over x+9

Step-by-step explanation:

How many roots does (x+10)^9 have. Please explain how u did it.

Answers

Answer:

This expression contains a one root  (x= -10) of multiplicity 9

Step-by-step explanation:

Notice that this polynomial is given in factor form, since it is equivalent to 9 products of the same factor (x+10):

[tex](x+10)^9=(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)[/tex]

Therefore, there is a single root x = -10, since when x=-10 each of these binomial factors result in a zero.

In mathematical terms, such type of root is said to have multiplicity. And in this case, the multiplicity is "9" (the number of equal binomial factors of the polynomial form).

Answer:

9

Step-by-step explanation:

(x+10)^9 is the 9-degree polynomial so it has 9 roots

if it is equal to zero then it has 9 equal roots of x= -10

Which of the following relations is a function? A.{(0,2),(1,2),(2,2),(3,2)} B.{(2,0),(2,1),(2,2),(2,3)} C.{(3,5) ,(4,7),(5,9),(5,11)} D. {(4,5),(6,7),(8,9),(8,11)}

Answers

Answer:

the answer is A

Step-by-step explanation:

which inequality is represented by this graph ?

Answers

Answer:

It's D.

Step-by-step explanation:

If it is a closed circle, it is greater/less than or equal to. If it goes right, it's greater than. If it goes left, it's less than.

Answer:

x≥ -53

Step-by-step explanation:

There is a closed circle at -53  which means equals and the line goes to the right which means greater than

x≥ -53

Find the volume of a cone with the radius of 14, and a height of 9. (Hint:
the volume of a cone is 1/3*b*h where the "b" is the area of the base of
the cone or a circle). DO NOT ROUND!!!!! USE 3.14 for PI!!!*

Answers

Answer:

The answer is 1846.32 units³.

Step-by-step explanation:

Given that the base of a cone is a circle so the area of circle is A = πr². You have to substitute the following values into the formula :

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Let π = 3.14,

Let r = 14,

Let h = 9,

[tex]v = \frac{1}{3} \times 3.14 \times {14}^{2} \times 9[/tex]

[tex]v = 1846.32 \: {units}^{3} [/tex]

hey guys can uhelp me with my question please help no one is answering :(

Answers

Answer:

Step-by-step explanation:

1)

m=(y2-y1)/(x2-x1)

m=(9-0)/(7-4)

m=9/3

m=3

2)

m=(y2-y1)/(x2-x1)

m=(4-2)/(6-9)

m=2/(-3)

m=-2/3

3)

m=(y2-y1)/(x2-x1)

m=(3-(-1))/4-4)

m=4/0

m=undefined

(vertical line)

−7/8 −(−5/6) ​ in simplest form

Answers

Answer:

-1/24

Step-by-step explanation:

-7/8 - (-5/6)

Subtracting a negative is like adding

-7/8 + 5/6

Get a common denominator

-7/8 * 6/6    + 5/6 *8/8

-42/48 + 40/46

-2/48

-1/24

Identifying parallel and perpendicular lines

Answers

Answer:

C (Third answer)

Step-by-step explanation:

C should be the answer

Which line has a slope 3/4

Answers

Line C.

Explanation: It is tilted 3/4 of the way.

Line C shown in the graph has a required slope of 3/4.

Given that,
A figure is shown we have to determine a line that has a slope of 3/4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanФ where x in degrees.

m  =(y₂ - y₁) /  (x₂ - x₁) = tanФ

here,
The slope of the line A = ∞
The slope of the line D = 0
The slope of the line B = 4/ 3
The slope of the line C = 3/4

Thus, Line C shown in the graph has a required slope of 3/4.

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select the two valuse of x that are roots of this equation. x^2+2x-5=0

Answers

Answer:

1 + sqrt(6)

You can't factor this by itself so you have to use the quadratic formula

Step-by-step explanation:

20 POINTS !!! Write 5 true statements for this picture and then After those 5 statements add a becuase and tell why is it true

Answers

MHL is an obtuse angle, 160>90

HPK is an acute angle, 20<90

LHK is an acute angle, it looks smaller than 90

MHJ is an acute angle, it looks smaller than 90

JL intersects MK

Kim is 4/5 as old as Alan. In four years, she will be 5/6 as old as he will be. How old is each now?

(Please show all your work, with statements)

Answers

Answer: Kim is 16 and Alan is 20

Kim => x

Alan => y

Kim is 4/5 as old as Alan  =>  [tex]x=\frac{4}{5}y[/tex]

In four years, she will be 5/6 as old as he will be => [tex]x+4=\frac{5}{6}(y+4)[/tex]

Solving the system we obtain x=16 and y=20

Share £639 in the ratio 5:4

Answers

Answer:

The ratios are £355 and £284

Answer:

335: 284

Step-by-step explanation:

£639 in ratio 5:4

5+4 =9

639 / 9 = 71

71 × 5 = 355

71 ×285 =284

355:284

Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n

Answers

Answer:

0.25n>0.15n+3

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Since Purple taxi charges 0.25 per mile, the cost of using Purple taxi is:

0.25n  

Where n is the number of miles.

ABC Taxi charges $3 for pick-up and $0.15 per mile

So, the cost for using ABC taxi is equal to the fixed fee per pick up (3) , plus the cost per mile (0.15n)

3+0.15n

To find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi, the cost of a cab ride with purple taxi must be higher (>) than the cost of a cab ride with ABC taxi.

0.25n>0.15n+3  

10. What is an expression for the perimeter of the triangle?
11. What is an expression for the area of the triangle?
12. Think about values for x, y, and z that would make the following statements true. If you think these values exist, give an
example of them. If you think they do not exist, explain why.

a.
The perimeter and area are both rational numbers.

b.
The perimeter is an irrational number and the area is a rational number.

C.
The perimeter and area are both irrational numbers.​

Answers

Answer:

See explanation, and comment for more details!

Step-by-step explanation:

10. The perimeter of any shape is the sum of the length of the sides, which means that the perimeter of this triangle is x+y+z.

11. Since this is a right triangle, the two legs form the height and base. The area of this triangle is therefore x*y/2.

12.

a. x=3, y=4, z=5

b. [tex]x=\sqrt{2}, y=\sqrt{2}, z=2[/tex]

c.[tex]x= \sqrt{3}, y=2, z=\sqrt{7}[/tex]

Hope this helps!

A.-4
B.4
C.1/4
D.-1/4
I need help I’m confuse

Answers

Answer:

The answer is 4/B

Step-by-step explanation:

Mark me brainiiest.

What is the solution of 3square root x+8 = -4?
• x=-72
• x=-66
• x=58
• no solution

Answers

Answer:

No solution

Step-by-step explanation:

I'd suggest you try to solve this first:  3√(x + 8) = 4.  First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9.  We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function.  No solution.

If we now write 3√(x + 8) = -4   (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9.  If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.

The solution for the given equation is 16.

The given equation is 3√x+8=-4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The solution for the given equation can be determined as follows:

Now, 3√x+8=-4

⇒ 3√x=-4-8

⇒ 3√x=-12

⇒ √x=-12/3

⇒ √x=-4

Squaring both the sides, we get

x=16

Therefore, the solution for the given equation is 16.

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HURRY!
What is the distance from (3 and one-half, 5) to (3 and one-half, –12)?

Answers

Answer to the question : 17 units

Answer:

17

Step-by-step explanation:

all you do is add -12 and 5 and pretend the - isnt there, and now you have 17.

Find the value of x in the following quadrilateral.

Answers

Answer:

see below

Step-by-step explanation:

Because the sum of all angles in a quadrilateral is 360° we have:

90 + 101 + 12x + 3 + 9x - 2 = 360

21x + 192 = 360

21x = 168

x = 8°

Answer:

The value of x is 8.

Step-by-step explanation:

Given that total angles in a quadrilateral is 360°. So in order to find x, you have to add up all the angles together to make it equals to 360° :

[tex]101 + 12x + 3 + 9x - 2 + 90 = 180[/tex]

[tex]192 + 21x = 360[/tex]

[tex]21x = 360 - 192[/tex]

[tex]21x = 168[/tex]

[tex]x = 168 \div 21[/tex]

[tex]x = 8[/tex]

One student says -5 is bigger than -4 and uses money as the analogy: “If I owe $5, I have a bigger debt than if I owe $4.” What is wrong with this argument?

Answers

Answer:

This is a bad argument because when talking about negative numbers, the closer the numbers are to 0, the bigger they are. -4 is closer to 0 than -5, so -4 is the bigger number.

Step-by-step explanation:

Answer:

-5 is not larger than -4.

Step-by-step explanation:

Think of a number line. The absolute value of -5 is 5, meaning -5 is 5 away from 0 to the left. On the other hand, -4's absolute value is 4, meaning -4 is 4 away from 0 to the left. In the money scenario, owing $5 is a bigger debt because the absolute value is larger, not the number itself. Hope this helps!!

Help Plz
A small bar of gold measures 20 mm by 100 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounces. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.


The volume of the bar is ___ cubic millimeters and the weight of the bar is ___ ounce(s).

Answers

Answer:

volume=1,000 cubic millimeters

weight=1 ounce

Step-by-step explanation:

40x25x2=1,000

volume=1,000 cubic millimeters

1,000x0.0005=1

weight=1 ounce

Answer:

Volume = 1000 cubic millimeters

weight = 1 ounce

Step-by-step explanation:

40 x 25 x 2 = 1000

volume= 1000 cubic millimeters

1000 x 0.0005 = 1

weight = 1 ounce

hope it works out !!

brainliest please !!

Help ASAP plz will give brainliest!!!

Answers

Answer:

3/4

Step-by-step explanation:

There are 8 outcomes and 6 of them are odd.

6/8 = 3/4

Thus probability is 3/4

Answer:

3/4

Step-by-step explanation:

No. of sections = 8

No. of odd numbers = 6

Probability of getting an odd no. = 6÷8 = 3/4

PLZ HELP GUYS I RLLY NEED HELPPP!
i rlly rlly rlly need help, i am not good at mathh! :(((((((((

Answers

Answer:

1`. y = 4x+6

2. y = -6x + 29

3. y= 3x+1

4. y = x -2

5. y = 11.5x+ 3

6. y = -2x -4

Step-by-step explanation:

Please please, I need help with this question ASAP.....

Answers

We want to compare averages.  From the histogram we have we don't know the exact mean, but if we just assume the average in each bin is the midpoint of the bin we can make an estimate.

Supplier A has

mean = ( 22(64) + 27(66) + 26(68) + 15(70) + 10(72) )/(22+27+26+15+10)

mean = 6728/100 = 67.28 grams

Supplier B has mean 66.5

Answer: Choose Supplier A

(work shown above)

please help! i need this asap

Answers

philip equation
ordered data: 3o(oranges), 3g(green), 6y, 8r, 13b(black, 15b(blue
mean: 8 mode: 3 range: 12

PLS HELP MY HOMEWORK IS DUE SOON

Answers

Answer:

Seems like a personal issue

Step-by-step explanation:

Hint: Use your Brain!

Solve for x.
-3+85-5=-8
A. -2.
B.-1
C.-3/4
D.0​

Answers

Answer:

-2

Step-by-step explanation:

-3+8x-5=-8

8x = -16

x = -2

Answer:

Undefined

Step-by-step explanation:

-3+8x-5=-8

+8 on both sides

8x = 0

Since you cant divide a number by 0, the answer is undefined

Which of the following are exterior angles?? Check all that apply

Answers

Answer:

Exteririor angles mean the angles not in the triangle. So the 2 4 and 3

A, D, C

Answer:

Angles two, three, and four.

Step-by-step explanation:

Exterior angles are the angles that lie outside the triangle: in this case, 1, 5, and 6 are the angles which make up the triangle, meaning 2, 3, and 4 are exterior.

Other Questions
Read the quote by broker T Washington more and more, we must learn to think not in terms of race or color or language or diligence or political boundaries but in terms of humanity based on this quotation Washington believed that?A persons value is not determined by their race language religion. Racial equality is impossible goal. Racial and political differences prevent people from coming together. People with certain political beliefs have more humanity. When you come across your host eating, what is it considered polite to do fand f are functions.If f(4) = 2 then f'(2) = ? during resistance training how quickly should you move Which type of crystal is typified by a sea of delocalized electronssurrounding the lattice?O A. lonicB. MetallicOC. MacromolecularD. ChemicalReset Selection Please answer fast, dhehdhhd 2(x+3)+5 simplified expression This sphere has a diameter of 5 m. What is the volume of the sphere? 1. If the ratio of the ages of Kissi and Esinam is 3:5 and that of Esinam and Lariba is 3:5 andthe sum of the ages of all 3 is 147 years, what is the age difference between oldest theyoungest?Ans: years2. The HCF of two numbers is 11, and their L.C.M is 368. If one number is 64, then the othernumber is . LAST QUESTION!!WILL GIVE BRAINLIEST!!! AT LEAST LOOK!!! SHARE YO SMARTNESS!!! EASY BUT IM DUMB!!!!!!Which is not a pair of congruent angles in the diagram below?A) EAB=CDBB) ABE=DBCC) AEB=DCBD) AEB=CDB Cinco amigos pidieron una pizza personalextra grande cada uno. A continuacin semuestra la fraccin de pizza que se comicada uno.38178342Encuentra la mediana de las fraccionesde pizza que se comieron. An injured monkey sits perched on a tree branch 9 m above the ground, while a wildlife veterinarian is kneeling down in the bushes 90.0 m away attempting to subdue the monkey with a tranquilizer gun. The vet knows that the moment the gun fires, the monkey will be frightened and fall down from the branch. At what angle up from the ground must the veterinarian aim the gun so that the tranquilizer dart will hit the falling monkey? Given the angle, what is minimum speed at which the tranquilizer dart must leave the gun to still hit the monkey? How does the process of ridge push cause the formation of new oceans? A B = . P(B) = .9 P(A B) = .9. Find P(A). help me please i need this done ASAP The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system: What is the first thing you need to do when evacuating a building in an emergency?a.Safely stop your work.c.Proceed to the nearest EAA area.b.Stay calm, do not rush, and do not panic.d.Gather all your personal belongings.Please select the best answer from the choices providedABCD Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 km away. It takes Amy 40 minutes to arrive at school. Bill arrives 20 minutes after Amy. How much faster (in km/h) is Amy than Bill for the entire trip? Describe how you see our country(United States) you can describe current events or any of your personal experiences Which of the following terms means "the system used to classify and groupliving organisms"?A. CladogramB. TaxonomyC. HierarchyD. Taxidermy