Fat Kat's offers a special on large two topping pizzas. In how many different ways can you order a two topping pizza if you can choose from 18 toppings? NO LINKS!!!​

Answers

Answer 1
Answer:   153

=======================================================

Explanation:

There are 18 ways to pick the first topping and 18-1 = 17 ways to pick the next topping. Picking the same topping again doesn't make much sense (though I suppose it could mean that you just want more of that topping than usual?), so that's why we have the 18 drop to 17 when making that second selection.

If the order of toppings mattered, then we'd have 18*17 = 306 permutations. However, the order of toppings doesn't matter. All that matters is the group rather than the individual toppings. When counting out the 306 permutations, we've overcounted by a factor of 2. In other words, we've double counted.  

So we must divide by 2 to fix this double count. That leads to 306/2 = 153 combinations

------------------------

The alternative method involves using the nCr combination formula

Use n = 18 and r = 2 in this formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

the exclamation marks indicate factorial.


Related Questions

Which coordinate point represents the y -intercept of the equation 3x + 2y = 18

Answers

Answer:

(-6,18)

Step-by-step explanation:

3x + 2y = 18

2y= -3x + 18

y=-3/2 x + 18

give x=0

y=-3/2 *0+18

y=18#

y=18

3x+2(18)=18

3x+36=18

3x=18-36

3x=-18

x=-18/3

x=-6

HELP ASAP PLEASE
Which expression can be used to find the volume of the cone in this composite figure?

Answers

Answer:

option 1

Step-by-step explanation:

[tex]volume \ of \ cone = \frac{1}{3} \pi r^2 h \\r = 4\\h = 8\\so, volume = \frac{1}{3} \pi (4^2)( 8)[/tex]

The figure 1 i think you can used to find the volume

one clothing truck visits avas place every 3 days and another clothing truck visits noahs place every 5 days if both clothing trucks visited today when is the next time both trucks visit on the same day

Answers

Answer:

15 days

Step-by-step explanation:

Given

[tex]Truck\ 1: 3\ days[/tex]

[tex]Truck\ 2: 5\ days[/tex]

Required

Next time they both visit

First, list out days of visitation of each truck

[tex]Truck\ 1: 3, 6, 9, 12, 15, 18, 21\ days.....[/tex]

[tex]Truck\ 2: 5, 10, 15, 20, 25, \ days.....[/tex]

Write out the common days;

[tex]Day = 15[/tex]

The next time they both visit is the after 15 days

Bartholemew will draw with replacement 160 tickets at random from a box with five tickets [0, 0, 0, 1, 2]. Estimate the chance that the ticket with the 1 on it turns up on exactly 32 draws. Show your work. Please round your answer to the nearest whole percent. (Do not write the % sign, just the whole number.)

Answers

Answer:

0.0786

Step-by-step explanation:

It is given that Bartholemew had drawn the replacement of 160 tickets.

There are five tickets = [0, 0, 0, 1, 2]

Now we need to find the estimate of the ticket that has 1 on it and it turns up on the 32 draws exactly.

Since the probability of the drawing 1 out of 5 tickets is given by,   [tex]$\frac{1}{5} = 0.2$[/tex]

So the binomial with the parameter of n = 160 and p = 0.2, we get

P (it turns up on exactly 32 draws) = P(X = 32)

Therefore,

[tex]$C(160, 32)\times (0.2)^{32}\times (0.8)^{160-32}$[/tex]

= 0.0786

The graph below shows Ariana's pay as a painter. How much does Ariana charge per painting?

Answers

there is no picture of the graph

solve the equation

f(n)=10⋅2n for n = -2

Answers

Answer:

f(n)= -40.

Step-by-step explanation:

The formula for distance is d = r*t, where d = distance, r = rate, and t = time. If a car travels for 15 seconds at 88 feet per second, how far will it have traveled?

Hint: Substitute the given values for time (15) and rate (88 feet) into the formula and then solve

Answers

Answer:

1,320ft

Step-by-step explanation:

D= r(88)*t(15)

Magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.


Book Mean Median Mean Absolute Deviation
Art 68.7 50 15.4
Science 54.2 55 7.9


She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page. Based on the data, is this a valid inference?

Answers

Answer:

Yes

Step-by-step explanation:

Because the mean is the total of all the words divided by the number of pages, so if the mean is higher, that means that there are more pages on average in the art book than the science book.

Answer:

no

Explanation:

there is a lot of variability in the art book data

please hellp meeee :D

Answers

a) 20 ft

b) 32 mm

Step-by-step explanation:

a) The legs of the smaller triangle are 6-6-3. The larger triangle is 1/3 larger than the other triangle so the lengths of the legs are 8-8-4 so the perimeter is 20 ft.

b) Since one side of the larger square is 8 mm, this means that the perimeter is 4×8mm = 32 mm.

Answer:

i dont know what the answerris

Step-by-step explanation:

Find the circumference of the object.
2 meters

Answers

Answer:

circumference =2×3.14

circumference =6.28 m

(6.TA; 5. BLE) 4. Mrs. Turner buys oats for the animals on her farm. Each bag of oats weighs 7.4 ounces. If the animals eat 4.8 bags of oars, what is the total weight of the oats they cat (in ounces) Record your answer in the boxes. Then fill in the bubblcs. Be sure to use the correct place value.​

Answers

Answer:

35.52 ounces

Step-by-step explanation:

7.4 * 4.8 = 35.52

What is the range of the data set 1 2 3 4 5 6 7

Answers

Answer:

6

Step-by-step explanation:

Range = Highest number  - Smallest number

From the data

Highest number = 7

Lowest number= 1

Range  = 7 - 1

RAnge  = 6

Hence the range of the dataset is 6

Find the values of x any y.
..........................,,,,,,,,.........................

Answers

There are so many types of angles, let's see what we've got here!

--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.

--(5x - 17) and y are supplementary angles.

--48 and y are same-side interior angles, which means that they are also supplementary.

Let's solve for x first.

5x - 17 = 48

5x = 65

x = 13

Now, let's solve for y.

48 + y = 180

y = 132

Hope this helps!! :)

A 30 ft ladder is leaning against a wall making a 48 angle with the ground. Approximately how far from the wall is the base of the ladder?

Answers

The image below shows how the diagram should look. We are solving from how far the wall is from the ladder and we are representing it as x.

Based on the type of triangle below we are going to use Trigonometry ratios.

We are going to use the Sine ratio, which is opposite over hypotenuse.

Let opposite be x, hypotenuse be 30 and theta (angle) be 48 deg.

Sine 48 = x/30

Make x the subject

x = 30 Sine 48

Just go ahead and lunch this in a calculator.

x = 22.3 ft

Therefore the distance of the wall from the base of the ladder is 22.3 ft

Problem #4:
and one
sum of
A gumball machine contains 15 green gumballs, 6 yellow gumballs, and
11 pink gumballs.
The gumball machine dispenses 1 gumball at a time.
a) What is the probability of getting a pink gumball?
b) What is the probability of getting three pink gumballs in a
row?
c) If the machine was refilled, and you purchased 4
gumballs, what is the theoretical probability of the machine
dispensing 4 green gumballs?
d) If we add 8 orange gumballs to the machine, what is the probability
of getting two orange gumballs and then a yellow gumball.
be closest
at 18.

Answers

Answer:

Step-by-step explanation:

Prepare closing entireties for the concert hall bond fund

I only know the first one which is 11/32

Find the area of the composite figure

Answers

Answer:

area of semicircle=76.969 inches

triangle is=10 in so 20 since there is 2 triangles made

rectangle=140 in

236.969 inches is the total

hope this helps

have a good day :)

Step-by-step explanation:

find midpoint AB if A (-5, 8) and B (7,-2)

Answers

Answer:

Midpoint = (1, 3)

Step-by-step explanation:

we have coordinates (x1, y1) and (x2, y2)

Then the midpoint is determined by

(x1 + x2)/2 , (y1 + y2)/2

=

[tex] \frac{ - 5 + 7}{2} \: \: \: \: \: \frac{8 + - 2}{2} [/tex]

= 1 , 3

The _________ in the usage of words may be a serious barrier to effective communication

Answers

The answer that is needed in the blank is disturbance

Define the variables and translate the following statements into
algebraic inequalities.
"You buy hamburgers at a fast food restaurant. A
hamburger costs $0.49. You have at most $3 to spend.
Write an inequality for the number of hamburgers (6) you
can buy."
The variable should be on the left side of the inequality.
Etion
Check

Answers

nikal bhosdike gaand mara

Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold
70 ml more than a mug. How much water can a mug hold? Give your answer in litres.
​(with full working)

Answers

9514 1404 393

Answer:

  0.33 litres

Step-by-step explanation:

If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...

  3(m +0.07) +4m = 2.52

  7m +0.21 = 2.52 . . . . . . . . simplify

  7m = 2.31 . . . . . . . . . . . . . subtract 0.21

  m = 0.33 . . . . . . . . . . . . . divide by 7

Each mug can hold 0.33 litres.

If AnB={1,0,-1} and AnC ={0,-1,2,3} then find An(BuC)​

Answers

A n B = { 1 , 0 , - 1 }

A n C = { - 1 , 0 , 2 , 3 }

_________________________________

A n ( B U C ) =

( A n B ) U ( A n C ) =

{ - 1 , 0 , 1 } U { - 1 , 0 , 2 , 3 } =

{ - 1 , 0 , 1 , 2 , 3 }

Choose the correct name for the polygon.


VRUST


SRVUT


SRTUV


RSVUT

Answers

SRVUT is the correct one im pretty sure

The name of polygon is SRVUT.

What is Polygon?

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

Given:

Usually while naming the polygon we have to focus on the letter to which each vertex is allotted.

and, the name of any geometrical shape should be in a flow, it should be like which letter come after the previous in clockwise or anticlockwise order.

Here, the polygon will have name:

VRSTU

RSTUV

STUVR

TUVRS

UTVRS

Learn more about Polygon here:

https://brainly.com/question/24464711

#SPJ7

A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure.

Answers

Answer:

18.28 sq inches

Step-by-step explanation:

the area of the composite fig. =

(½×3.14×2²)+(½×4×6)

= 6.28 + 12 = 18.28

Wanda Frey insured her home for $156,400. Her annual insurance rate is $0.83
per $100. What annual premium did she pay?

Answers

Answer:

$1,298.12

Step-by-step explanation:

there are 1564 hundreds in 156,400

so 1564 x .83 = 1298.12

PLEASE HELPS ASAP!! ILL GIVE BRAINLIEST AND A THANKS!!

What is the area of a circle with a radius of 3/8 meters?

Answers

Answer:

3/8^2 = 9/64

9/64 x 3.14 = 0.4415625 rounded = 0.44

Formula area of a circle:

pi(3.14 or 22/7 or any other number depending what they tell you to use for pi) x radius(half of your diameter or given radius)^2(squared, to the power of 2)

pi x radius being squared

30 ft.
6 ft.
4 ft.
20 ft.
?
25 ft.
PLEASE HELP QUICK

Answers

Answer:

5 ft

Step-by-step explanation:

30/6 = 5

20/4 = 5

25/x = 5

25/5 = 5

x = 5

Answer:

5 feet

Step-by-step explanation:

the triangles are scaled by the factor of 5


Determine the mode of the following data set:
-- 3, 12, 5, 12, 11, 2, 3, 10, 7, 6, 1, 4
a. 12
b. 3 and 12
c. no mode
d. 5

Answers

Step-by-step explanation:

3 AND 12 MAY BE

HOPE IT HELP U ...

Army
2. A group of armed forces personnel were surveyed. The branch of service was recorded in the chart below.
Branch of Service Number of Members
165
Navy
135
Marine Corps
60
Air Force
130
Coast Guard
10
What would the degree measure for the sector for the Navy be in a circle graph?
43.20
97.20
93.60
118.80

Answers

Answer:

97.2°

Step-by-step explanation:

yw

The degree measure for the sector for the Navy be in a circle graph is 118.80.

What is angle of a sector ?

"The angle of the sector is 360°, area of the sector, i.e. the Whole circle = πr2. When the Angle is 1°, area of sector = πr2/360° So, when the angle is θ, area of sector, OPAQ, is defined as; A = (θ/360°) × πr2."

Given here,

Navy = 165 members

Total members = 495

So, navy percentage in the circle is [tex]\165*495/ 100 = 27.27[/tex]

And, angle of the sector of Navy is = [tex]27.27*360/100[/tex] = 118.80

Hence, option D is correct.

To know know about degree measure here

https://brainly.com/question/23924161

#SPJ2

Find the area of the composite figure below

Answers

Answer:

54

Step-by-step explanation:

Someone please help-

Answers

Answer:

It shows that 8 is not a factor of 44

It will be a factor of 44 is there is no decimal for the answer

Answer:

it shows that 8 is not a factor of 44

Step-by-step explanation:

because if the result was a whole number, then 8 would be a factor of 44.

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