A chocolate factory has three classifications for the candies that it makes:
Caramels (12 varieties). please help!!!
Milk Chocolate (6 varieties)
Dark Chocolate (9 varieties)
1. Set up the NOTATION to figure out the different ways to choose 7 of the 12 Caramels
2. Set up the NOTATION to figure out the different ways to choose 3 of the 6 Milk Chocolates
3. Set up the NOTATION to figure out the different ways to choose 5 of the 9 Dark Chocolates
4. A customer has ordered an assortment to consist of seven types of caramels, three types of chocolate, and five types of dark chocolates.
How many such assortments are possible?

Answers

Answer 1

Answer:

1. 792 2. 20. 3. 126. 4.1995840

Step-by-step explanation:

Use the formula C(n,r)= n!/ r/ (n-r)! where n is total quantity of varieties and r is the quantity uou should choose.

1) n=12 (total quantity); r= 7

C(12,7)= 12!/(7! *(12-7)!)= 8*9*10*11*12/ (5*4*3*2)= 8*9*11= 72*11= 792

2) n=6 r=3

C(6,3)= 6!/ (3! * (6-3)!)= 6!/ (3!)^2= 4*5*6/ 3*2= 20.

3) C(9,5)= 9!/ (5!*4!)= 6*7*8*9/ (4*3*2*1)= 2*63= 126

4) You need to choose the whole set which consists of three components that has been defined. Multiply previous results

792*20*126= 1995840.


Related Questions

10. What is the correct trigonometry ratio to solve for x?
х
52°
20

Answers

Step-by-step explanation:

tan y = opposite/adjacent

so, tan 52° = 20/x

Answer:

tan(52) = 20/x

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(52) = 20/x

If z is a standard normal variable, find the probability.
The probability that z lies between -1.10 and -0.36.

0.2239

-0.2237

0.2237

0.4951

Answers

Answer:

Step-by-step explanation:

We are looking for the probability that (-1.10 < z < -.36)

The z score for -1.10 = .13567 and

the z score for -.36 = .35942

To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%

Find the slope of the line that passes through (26, 15) and (1, 86).

Answers

Answer:

-71/25

Step-by-step explanation:

We can use the slope formula when given two points

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

m = (86-15)/(1 -26)

   = 71/-25

  = -71/25

Answer:

[tex]\displaystyle m = \frac{-71}{25}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (26, 15)

Point (1, 86)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{86 - 15}{1 - 26}[/tex]Subtract:                                                                                                            [tex]\displaystyle m = \frac{71}{-25}[/tex]

Which of the following is a monomial?

Answers

9/x and 20x⁹ are the monomials.

The correct option A and D.

What is a polynomial?

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

A monomial is a polynomial with just one term.

From the given choices:

9/x and 20x⁹ are the monomials.

11x - 9 and 20x⁹ -7x are the binomial.

Therefore, A and D are the monomials.

To learn more about the Polynomials;

brainly.com/question/11536910

#SPJ1

Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.

Answers

Answer:

(I'll leave cm out to save space and time in the answer)

the perimeter is 500, there are 5 sides. so on average a side will be 100.

that's already the important key idea.

it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).

repeat this for the 1. and 5. side and we get:

80

90

100

110

120

Today only, a sofa is being sold at a 72% discount. The sale price is 218.40.
What was the price yesterday?

Answers

Answer:

780

Step-by-step explanation:

Let x be the original price

x - x*72% is the new price

x - .72x = 218.40

.28x = 218.40

Divide each side by .28

.28x/.28 = 218.40/.28

x =780

can any one explain how to look for d direction of a vector .​

Answers

Answer:

The direction of a vector is the measure of the angle it makes with a horizontal line . tanθ=y2 − y1x2 − x1 , where (x1,y1) is the initial point and (x2,y2) is the terminal point. Example 2: Find the direction of the vector →PQ whose initial point P is at (2,3) and end point is at Q is at (5,8)

Which set is of whole numbers but not natural numbers?

Answers

Step-by-step explanation:

The set of Natural numbers: {1, 2, 3, 4, 5, ...}

The set of Whole numbers: {0, 1, 2, 3, 4, 5, ...} ← it has the number 0

Tanui had 2 hectares of potatoes. He later added 1 more hectare of potatoes.What was the percentage increase of the area under potatoes​

Answers

+50%
as 2/2 is 1 which means that 1 is half of 2. Half can also be written as 50%

b - 8 = 9
---------------

Answers

Answer:

b-8=9

b=9+8

b=17

Step-by-step explanation:

hope it will help you mark me as a brilliant.

Answer:

b=17

Step-by-step explanation:

b-8=9

first isolate the variable by adding 8 to both sides

this gives us

b=17

Determine the period

Answers

Answer:

10

Step-by-step explanation:

acellus

The period of the given graph is 10.

Use the concept of a period of function defined as:

One full wave is set up in a medium for the length of time it takes a particle of that medium to complete one vibration or one wave period.

In the given wave,

X-axis represents time

The Y- axis represents the amplitude of the curve

As we can see,

The first peak of this graph is located at x = 1 and the second peak is at,

x = 13

Since the period is the time interval between two consecutive peaks in a graph.

In this case, the time interval is 10.

Hence,

The period of the given graph is 10.

To learn more about period of a graph visit:

https://brainly.com/question/12682398

#SPJ4

Divide. Write your answer as a fraction in simplest form. − 1/5÷20=

Answers

Answer:

-0.01

Step-by-step explanation:

hope it can work for you mark me as a brain liest plz like and follow me guys

Answer:

-0.01

Step-by-step explanation:

1: solve 2/5×1/3-3/7×5/9+2/5×1/8
2:2x-3=x+2
​plesswe

Answers

1. = -23/420

2. x = 5

What is the angle of C?

Answers

Answer:

50°

Step-by-step explanation:

65 + 65 +C = 180

130+C = 180

C = 180 - 130 = 50

Hi there!

[tex]\large\boxed{C = 50^o}[/tex]

A line contains an angle of 180°, so:

∠C = 180° - 65° - 65°

∠C = 180° - 130°

∠C = 50°

help please!! i need to find the value of x

Answers

You have to subtract the degrees like in this picture:

Answer:

The measure of angle JKM is:

JKL - MKL = JKM

⇒80°-25°=55°

so measure of angle JKM is 55°

Step-by-step explanation:

PLEASE HELP ME WITH THIS !!!

Answers

9514 1404 393

Answer:

  (x -2)^2/16 +(y +2)^2/4 = 1

Step-by-step explanation:

The equation of an ellipse is ...

  ((x -h)/a)^2 +((y -k)/b)^2 = 1

where (h, k) is the center, and 'a' and 'b' are the semi-axes in the x- and y-directions respectively.

Here, we have (h, k) = (2, -2), and a=6-2 = 4, b = 0-(-2) = 2. Then the equation is ...

  ((x -2)/4)^2 +((y +2)/2)^2 = 1

More conventionally, the denominators are multiplied out, so this is ...

  (x -2)^2/16 +(y +2)^2/4 = 1

In circle O, the length of OB is 6 inches, and the measure of ∠AOB is 120°. What is the length of arc AB, in inches (show your answer in terms of π)? *

Answers

Answer:

4π inches

Step-by-step explanation:

Formula for finding length of arc AB = θ/360*2πr

Where,

Central angle (θ) = 120°

Radius (r) = 6 inches

Length of arc AB = 120/360*2*π*6

Length for arc AB = ⅓*12π

= 4π inches

please help, will give brainliest!!!

Answers

Answer:

Find the domain by finding where the equation is defined.

Interval Notation:

(−∞,−4)∪(−4,7)∪(7,∞)

Set-Builder Notation:

{x|x≠−4,7}

Step-by-step explanation:

Answer:

all real numbers except x=-4 or x = 7

Step-by-step explanation:

The domain is the numbers that x can take

We have restrictions for this problem

the denominator cannot be zero

x^2 -3x-28 cannot be zero

(x-7)(x+4) ≠ 0

x-7≠0  x+4≠0

x≠7 x≠-4

Otherwise all real numbers are valid

A sandwich shop offers a choice of 5 types of bread, 4 types of meat, and 3 types of cheese. How many different sandwiches could be made with 1 type of bread, 1 type of meat, and 1 type of cheese?

Answers

Answer:

12 type of bread 1 type of meat, 1 type of cheese and 1 type of bread.☺️☺️

Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. What is the constant of proportionality in this direct variation?

A. 1/5
B. 5
C. 1
D. 1/25

Answers

Answer:

1/5

Step-by-step explanation:

because multiply any different copies by 1/5 to get the cost of the print shop

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A charity is holding a benefit at an Italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for each person that attends. Write an equation where d is the total donation and p in the number of people that attend.
A. d=4p+200
B. d=4+200p
C. p=4+200d
D. p=4d+200

Answers

Answer:

A. d=4p+200

Step-by-step explanation:

The reason why this is, is because d is the total amount, equaling to 4 times p due to the fact that it is $4 for each person that attends.

What is the exact value of the trigonometric expression?
tan (7π/4)
a) -√2/2
b)1
c)-1
d)√2/2​

Answers

The answer is C, which is -1. tan(7pi/4) = tan(3pi/4) = tan(135*)= -tan(45*) = -1

write the expression fourteen added to the product of seven and a number

Answers

Answer:

(7×x)+14

Step-by-step explanation: Because we have 14 added to something, we will need a + to whatever we are adding to. The product of 7 and a number is 7×x because product is the number you get after multiplication. So we get 7×x+14. You dont need parenthesis

Hope this helps!

Which of the following angles is in standard position?

Answers

Answer:

C)

Step-by-step explanation:

Standard position for an angle means that the initial side is the positive x-axis.

Answer: C)

Answer:

C

Step-by-step explanation:

Angles in standard position have a vertex at the origin and one ray is on the positive x axis

I need help with this question ​

Answers

Answer:

m

Step-by-step explanation:

Na função y = x² - 2x +1, temos que a = 1, b = -2 e c = 1, calcule as coordenadas do vértice da parábola​

Answers

Answer:

(1, 0)

Step-by-step explanation:

x = -b / 2a

x = 2 / 2(1)

x = 2 / 2

x = 1

y = x^2 - 2x + 1

y = (1)^2 - 2(1) + 1

y = 1 - 2 + 1

y = -1 + 1

y = 0

vértice: (1, 0)

5. Simplify: 2/5 +3/7+(-6/5)+ (-13/7)

Answers

Answer: -78 / 35

Step-by-step explanation:

Given

 2/5 + 3/7 + (-6/5) + (-13/7)

Combine terms that have the same denominator

= 2/5 + (-6/5) + 3/7 + (-13/7)

= -4/5 - 10/7

Convert denominator by Least Common Multiple (LCM)

= (-4 × 7) / (5 × 7) - (10 × 5) / (7 × 5)

= -28/35 - 50/35

= -78 / 35

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex] \frac{2}{5} + \frac{3}{7} + ( - \frac{6}{5} ) + ( - \frac{13}{7} ) \\ \frac{2}{5} + \frac{3}{7} - \frac{6}{5} - \frac{13}{7} \\ ( \frac{2}{5} - \frac{6}{5} ) + ( \frac{3}{7} - \frac{13}{7} ) \\ \frac{2 - 6}{5} + \frac{3 - 13}{7} \\ \frac{ - 4}{5} + \frac{ - 10}{7} \\ \frac{ - 4}{5} - \frac{10}{7} \\ \frac{ - 28 - 50}{35} \\ \frac{ - 78}{35} \\ - \frac{78}{35} [/tex]

Correct answer gets brainliest and 5 stars

Answers

Answer:

A is false

Step-by-step explanation:

notice how in both diagrams, there are 4 triangles with lengths a, b, c, but in each diagram the triangles are just rotated and positioned differently. if there are the same amount of triangles in both diagrams, and the have equal lengths then the area of the remaining figure, should both match up.

basically the area of the big square in Step 2, is equal to both of the shaded squares, combined area, in Step 1.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

Option C, 832 units²

Step-by-step explanation:

l = 8

w = 7

h = 24

Surface area = 2(wl+hl+hw)

=2×(7×8+24×8+24×7)

=832 units²

Answer: YO ITS ANSWER C)832 UNITS[tex]^{2}[/tex] !!!!

the volume of a cube that is 6 units on an edge in exponential form

Answers

Answer:

[tex] {6}^{3} = 216[/tex]

Other Questions
General Snacks is a typical firm in a market characterized by the model of monopolistic competition. Initially, the market is initially in long-run equilibrium, and then there is an increase in demand for snacks. We expect that: Group of answer choices in the long run, new firms will enter the market. there will be a short-run increase in the number of firms, but in the long run the number of firms will return to the original level. firms will leave the market in the long run. firms will shut down, but they will not leave the industry in the long run. A company is reviewing tornado damage claims under a farm insurance policy. Let X be the portion of a claim representing damage to the house and let Y be the portion of the same claim representing damage to the rest of the property. The joint density function of X and Y is Determine the probability that the portion of a claim representing damage to the house is less than 0.2. The table shows values for functions f(x) and g(x)Xf(a) = 2-2g(x) = -22-3186-24.4-12200122.443618What is the solution to f(x) = g(x) ?Select each correct answer. How to save a file for the first time? Use the Ka values for weak acids to identify the best components for preparing buffer solutions with the given pH values. Name Formula Ka Phosphoric acid H3PO4 7.5 x 10^-3 Acetic acid CH3COOH 1.8 x 10^-5 Formic acid HCOOH 1.8 x 10^-4pH 1.9 =_________pH 5.0 = ________pH 3.9= ________ Find the sum of first five multiple of 5 College is not for everyone? Find the missing length indicated Can you answer this math homework? Please! Would kindly appreciate the help please ! Me ajudem pfvr!!!!.... The mass of a brick is 2kg. Find the mass of water displaced by it when it is completely immersed in water. (Density of the bricks is 2.5 g/cm^3) An open area is one that has something in the path of travel that blocks the continuation of travel in that lane. a) True b) False 2 Questions 2 A driver's emotions usually have no impacton his or her ability to effectively implement a search system. a) True b) False 3 Question 3 Glare is enhanced by heat and impairs a driver's visibility. a) True b) False 4 Question 4 A driver must maintain which of the following to ensure implementation of an effective space management system Find the value of the indicated angle. Justify your answer. find the missing length indicated howe do I solve it 5=n/5+8 Evaluate w+(-x) - 2/3 where w = -5/9 and x = 4/3 For two consecutive numbers, five times the number that is less is 3 more than 4 times the greater number, What are the numbers A right cylinder has a radius of 5 and a height of 9. What is its surface area? Which type of neurons are responsible for carrying signals from the sensory neurons to the motor neurons?A. Relay neuronsB. Sensory neuronsC. Transmission neuronsD. Motor neurons