write the equation for the parabola that has its x-intercepts at (-2, 0) and (4, 0) and its y-intercept at (0, 4).

Answers

Answer 1

The equation for the parabola is  y = (5/3)(x + 2)(x - 1.2)

What is equation?

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about mathematical equations.

How do we solve equations?

Remove parentheses from each side of the equation and combine similar terms to make it simpler.

To separate the variable term on one side of the equation, use addition or subtraction.

To find the variable, use division or multiplication.

y = A [x - (-2)] (x - 1.2)

y = A(x + 2)(x - 1.2)

At the y-intercept,

-4 = A(0 + 2)(0 - 1.2)

-4 = -2.4A

A = 4/2.4 = 5/3

y = (5/3)(x + 2)(x - 1.2)

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Related Questions

a dental student is conducting a study on the number of people who visit their dentist regularly. of the 520 people surveyed, 312 indicated that they had visited their dentist within the past year. find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n

Answers

For samples of size n = 60, the mean of the sampling distribution is 0.6

and the standard deviation of the sampling distribution is 0.0632

Here, N = 520 and X = 312

So, the population proportion is calculated as;

p = X / N

p = 312/520

p ≈ 0.600

So, the mean of the sampling distribution would be,

μ = 0.600

And for samples of size n = 60, the standard deviation of the sampling distribution would be,

σ = √[p(1 - p)] / n

σ = √[0.6(1 - 0.4)] / 60

σ = √[(0.6 * 0.4) / 60]

σ = √(0.004)

σ = 0.0632

Therefore, the mean of the sampling distribution = 0.6

and the standard deviation of the sampling distribution = 0.0632

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Given question is incomplete.

A complete question is:

a dental student is conducting a study on the number of people who visit their dentist regularly. of the 520 people surveyed, 312 indicated that they had visited their dentist within the past year. find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n = 60

How to solve 3(1+p)=-5(p+1)

Answers

The value of P in the equation is -1

Answer:

p=-1

Step-by-step explanation:

3(1+p)=-5(p+1)

Remove the parenthesis:

3+3p=-5p-5

Subtract 3 from both sides.

3p=-5p-5-3

Simplify:

3p=-5p-8

Rearrange:

3p=-8-5p

Add 5p to both sides:

8p=-8

Divide both sides by 8:

p=-1

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let x denote the number of canon slr cameras sold during a particular week by a certain store. the pmf of x is x 0 1 2 3 4 px(x) 0.1 0.2 0.3 0.25 0.15

Answers

the value of P(X=4,Y=2) is 0.0518.

Given that, X denote the number of Canon SLR cameras sold during a particular week by a certain store.

The probability mass function (pmf) of X is,

X 0 1 2 3 4

PX(x) 0.1 0.2 0.3 0.25 0.15

Let Y denote the number of purchasers during this week who buy an extended warranty.

The value of P(X=4,Y=2) is the probability that 4 cameras are sold and 2 extended warranties are sold in a week.

P(X=4,Y=2)=p(4,2)=P(Y=2|X=4)×P(X=4)

The number of purchasers purchasing the extended warranty can be 0, 1, ……, x.

Here x is cameras are sold.

Assuming that each customer buys at most 1 camera.

Considering that the event “a purchaser buys extended warranty” as “success” and the event “a purchaser does not buy extended warranty” as “failure”.

In that case, all the customers purchasing cameras buy extended is 60%.

The probability of failure is 0.4.

This follows the binomial distribution, where total number of trials is the number of purchasers of camera and x is the probability of success is 0.6.

The probability that 2 out of 4 cameras purchasers buys extended warranty with probability of success 0.6 is,

P(Y=2|X=4)=4C2(0.6)2(0.4)4−2=6×0.36×0.16=0.3456

Given that,

P(X=4)=0.15

Therefore,

P(X=4,Y=2)=P(Y=2|X=4)×P(X=4)=0.3456×0.15=0.0518

Therefore, the value of

P(X=4,Y=2) is 0.0518.

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Jade pent 1/2 of an hour playing on her phone. That ued up 1/9 of her batter. How long would he have to play on her phone to ue her entire battery

Answers

She has to play 4.5 hours to discharge the whole phone.

What is division?

A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.

Jade spent 1/2 of an hour playing on her phone which uses 1/9th of her battery.

For 1/9th battery, it took 1/2 hour.

So for the whole charge to discharge it will take, (1/2)/ (1/9) = 9/2 =4.5.

Hence, She has to play 4.5 hours to discharge the whole phone.

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The graph shows the relationship between the amount of peaches in pounds, x, and the amount of peaches in dollars, y. What is the slope of the line?

Answers

Answer: 5/2 or 2.5

Step-by-step explanation: Rise/Run = 5/2

in a class of 3000 students, the professor gives a multiple choice quiz with 4 questions, possible answers a,b,c, d or e. each student answers each question. among the 3000 students, at least how many students will turn in the exact same answers for the quiz questions?

Answers

Among the 3000 students, at least 5 students will turn in the exact same answers for the quiz questions.

What does at least mean in probability?

"At least" means as follows: equivalent to or less than. The bare minimum that should happen once a random event occurs is called the least mean in probability.

It will be the complement of the event never occurring to determine the likelihood of an event occurring at least once. In other words, there is a 100% chance that the event will occur regardless of its likelihood of never happening or happening at least once.

Solution Explained:

The quiz has 54=625 different possible outcomes. Given that 625 divided by four equals 2600 and 625 multiplied by five equals 3125, we deduce that 5 students will submit the same set of answers. This is due to the fact that there would be a maximum of 2600 students if only 4 students submitted each answer sheet.

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4. Assume a manufacturer makes an item that costs $2.50 to produce. The
markup when sold to the distributor is 35 percent. What is the cost to the
distributor? When the distributor sells the item to the retailer, the markup is 40
percent. How much will the retailer pay for the item?

Answers

Answer: Cost to distributer $3.38

Cost to retailer $4.73

Step-by-step explanation: First find 35 percent of $2.50

2.50 x 0.35 = 0.875 this is 35% of 2.50

Then add this amount to 2.50

2.50 + 0.875 = 3.375 or $3.38

Then to find the cost to the retailer repeat this process with 40%

3.38 x 0.40 = 1.352

1.352 + 3.38. = 4.732 or $4.73

solve the inequality
15t>180

Answers

Answer: t=12

Step-by-step explanation:

To isolate the t, divide both sides by 15. The 15 on the left cancels out, and 180 divided by 15 is 12.

The triangles below are congruent and their corresponding parts are marked.
B
(a) LA = 40
LB = 40
LC = 40
(c) AACB A
X
Z
Name all the corresponding congruent angles and sides.
Then, complete the triangle congruence statement.
(b) AB
AC
BC
X
Ś

Answers

Answer:

AB = YZ

AC = XY

BC =XZ

Statement : The given two triangles are congurent by all axiom.

16. Find the direction of the force
F=(-√12 i-2j) N.

Answers

Answer:

240°   ( Quadrant III)

Step-by-step explanation:

Arctan ( -sqrt(12) /-2) = 240 degrees

I really need someone to help me understand this problem

Answers

The linear function in slope intercept form is  y = -2x - 5.

How to represent linear function in slope intercept form?

Linear function can be represented in slope intercept form as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, let's find the slope in the linear function.

Using (-1, -3) and (3, - 11)

m = -11 + 3 / 3 + 1

m = -8 / 4

m = -2

Therefore, let's find the y-intercept as follows:

using (-1, -3)

y = -2x + b

-3 = -2(-1) + b

-3  = 2 + b

b = -3 - 2

b = -5

Therefore, the equation in slope intercept form is y = -2x - 5

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Use the number line to represent the solution to 5x > 15

Select a ray. Move the point on the ray to the correct place on the number line.

Answers

The solution to the inequality expression is x > 3 and the number line is attached

How to determine the solution to the expression?

From the question, we have the following parameters that can be used in our computation:

5x > 15

To start with, we divide both sides of the inequality expression by 5

So, we have the following representation

5x/5 > 15/5

Evaluate the quotient

So, we have the following representation

5x/5 > 3

Evaluate the quotient

So, we have the following representation

x > 3

So, the solution is x > 3

See attachment for the inequality graph

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stocks a and b each have an expected return of 12%, a beta of 1.2, and a standard deviation of 25%. the returns on the two stocks have a correlation of 0.6. portfolio p has 50% in stock a and 50% in stock b. which of the following statements is correct?

Answers

d. Portfolio P has a standard deviation that is less than 25%

This response is accurate because a portfolio made up of two stocks with a correlation of less than one will always have a standard deviation that is lower than the standard deviation of the stocks added in accordance with their weight in the portfolio. For example, in this scenario, both stocks have a weight of 50% and a standard deviation of 25%, so their sum will be.

The portfolio standard deviation will be smaller than 25% since (0.5*25%) + (0.5*25%) = 25%.

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In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)°, what is the value of x?
O 51
0 29
026
O 25

Answers

The value of x, if In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)° is 25, so correct option is D.

What is triangle?

One of the fundamental shapes in geometry is represented by the symbol Δ and consists of three connected vertices.

Given:

In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)°

Calculate the value of x as shown below,

The sum of triangles will be equal to 180°,

mZD + mZE  +  mZF = 180

4x + 2x - 3 + x + 8 = 180

7x = 180 - 5

x = 175 / 7

x = 25

Therefore, the value of x, if In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)° is 25.

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Your team has contracted to design and build a 500 ft, square-based, open-top, rectangular steal holding tank for a paper company. The tank is to be made by welding thin stainless steel plates together along their edges. As the production engineer, your job is to find dimensions for the base and height that will make the tank weight as little as possible.

Answers

The first step is to calculate the approximate weight of the tank. This can be done by calculating the weight of the stainless steel plates and multiplying it by the surface area of the tank.

The surface area can be calculated by multiplying the length of the sides by the height. The weight of the stainless steel plates can be found online or by consulting a materials engineer.Once the approximate weight of the tank has been calculated, the base and height dimensions can be determined by trial and error. Start with a base length and a height and calculate the approximate weight of the tank. Then, adjust the base length and/or height and recalculate the weight. Continue this process until the lightest weight is achieved.It is important to consider the structural integrity of the tank when selecting the dimensions. A tank with too little height or too wide a base may not be able to withstand the pressure of the contents within. Consulting a structural engineer may be necessary to ensure that the tank is strong enough to withstand the pressure of the contents.

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Consider the division of 4h2 + 2h + 6 by 2h. What are the values of a and b? a = 2 and b = 1 a = 2h and b = 1 a = and b = a = and b =.

Answers

When the dividend is 4h²+2h+6 and the divisor is 2h, the value of a is 2h and the value of b is 1.

What is polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The terms degree, standard form, monomial, binomial, and trinomial are all covered in this video.

Here,

Dividend=4h²+2h+6

Divisor=2h

The value of a and b,

=(4h²+2h+6)/2h

=4h²/2h+2h/2h+6/2h

=2h+1+3/h

a=2h

b=1

The value of a is 2h and b is 1 where the dividend is 4h²+2h+6 and divisor is 2h.

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Answer:What are the values of A and B?

A = 2 and B = 1

A = 2h and B = 1

A = and B =

A = and B =

Step-by-step explanation:

0.25r=0.5 how do i solve this please help.

Answers

Answer: r=2

Step-by-step explanation:

do .5/.25=2

Find the perimeter and area of triangle RST if each unit on the graph measures 1 centimeter. Round your answer to the nearest centimeter, if necessary.
y
8
S-4,5)-6
Q-6,1)
-876
R(-8,-3)
Perimeter
Area
4
-6
81
468x
7(6,-5)
cm²
jcm

Answers

The perimeter and the area of the triangle are given as follows:

Perimeter: 21 cm.Area: 16 cm².

How to obtain the perimeter of the triangle?

The perimeter of the triangle is given by the sum of the lengths of the outer edges of the triangle.

From the image given at the end of the answer, these lengths are of:

AB = 4.AC = 8.BC = 8.83 -> Pythagorean Theorem -> hypotenuse of a right triangle of sides 4 and 8.

Hence the perimeter of the triangle is of:

P = 4 + 8 + 8.83 = 21 cm.

(rounded to the nearest cm, as each unit represents 1 cm).

How to obtain the area of the triangle?

The triangle in this problem is a right triangle, hence the area is obtained by half the multiplication of the sides, as follows:

A = 0.5 x 4 x 8 = 16 cm².

Missing Information

The problem is incomplete, hence a similar problem was given and solved, by the triangle in the image at the end of the answer.

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When the height of the cylinder increased from 100 m to 1000 m, what happened to the amount of heat generated in the system? it decreased by a factor of 10. it decreased by a factor of 5. it increased by a factor of 5. it increased by a factor of 10.

Answers

When the height of the cylinder increased from 100 m to 1000 m, what happened to the amount of heat generated in the system is decreased by a factor of 10.

Define the term potential energy?Potential energy is the energy that a body possesses as a result of its position. Heat is produced when this energy is transformed.

The potential energy formula is provided by

P.E. = m g h

In which m is the body's mass, h its height, and g its gravitational acceleration.

When a body is at a height of 100 m, its potential energy is

P = mgx100x100=100mg

When a body is at a height of 1000 m, its potential energy is

P' = mxgx1000x1000

P' = 1000 mg

P' to P have a 10:1 ratio.

Thus, ten times as much heat is produced in the cylinder.

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The answer is D: It increased by a factor of 10.

The number of bagels sold daily for two bakeries is shown in the table:
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median?
A. Mean for both bakeries because the data is symmetric
B. Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric
C. Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric
D. Median for both bakeries because the data is not symmetric

Answers

It is better to describe the centers of distribution in terms of the

D. Median for both bakeries because the data is not symmetric.

What are mean, median, and mode?

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

We know symmetric data sets have a graph that is bell-shaped.

Here the data for both bakeries are not symmetric we can conclude that from the given table itself so it is better to describe the centers of distribution in terms of the median for both bakeries because the data is not symmetric.

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what is surface area of the cuboid 4cm.5cm.9cm.

Answers

Answer:202 surface area

Step-by-step explanation:

Which of the following is a diagonal matrix?
O
2
0
0 -42
0
0
1
6
0
0
16 -7.5
0
0
3.5 -18
0 9
-4
0
0
0
-22 0
0 7.5
0
0 7.5
0-22 0
Mark this and return
Save and Exit
4

Answers

Answer: the second one

Step-by-step explanation: trust me bro

Find the perimeter of a rectangle in simplest expression form that has an area of 6x2 +17x + 12 square feet. Please make sure you show all your work for full credit. (10 points)

Answers

Answer: P=14x-8

Step-by-step explanation:

I will solve this by factoring the numbers

(3x+1)(4x-5)=0

so L and w would be 3x+1,4x-5 order does not matter

Plug in to the perimeter formula and solve

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

Find x in the right triangle. 324−−−√324
B 147−−−√147
C 63−−√63
D 175−−−√175
E 21−−√21

Answers

Answer:

I believe it is 3rd one but not 100% sure

Step-by-step explanation:

hope this helps

the lengths, in inches, of adult corn snakes are normally distributed with a population standard deviation of 8 inches and an unknown population mean. a random sample of 25 snakes is taken and results in a sample mean of 58 inches. identify the parameters needed to calculate a confidence interval at the 99% confidence level. then find the confidence interval. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576

Answers

We can estimate with standard deviation of 8 that the true population mean length of adult corn snakes is between 53.88 and 62.12 inches.

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

x = ​ 58

σ = ​ 8

n = ​ 25

z α/2​​ = ​ 2.576

(53.88, 62.12)

the given values σ=8, n=25, and z α/2=2.576 for a confidence level of 99%, we have

margin of error=(2.576)(8/√25)

≈ (2.576)(1.6)

≈4.12

With x¯=58 and a margin of error of 4.12, the confidence interval is

(58−4.12,58+4.12)

= (53.88 , 62.12).

therefore we can estimate with 99% confidence that the true population mean length of adult corn snakes is between 53.88 and 62.12 inches.

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find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) → 0.] f(x) = sin(x), a = ????

Answers

The taylor series of  sin x at  x= π  is ∑( for n=0,∞) [tex]\frac{-1^{n+1}(x-\pi )^{2n+1} }{(2n+1)! }[/tex]

the Taylor series n of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.

since the function we are given is :

sin(x), since we need to find the Taylor series of sin(x) at x=π, which can also be written as : sin(x+π)

we can find find the Taylor series of sin(x+π) at x=0

sin(x+π)=−sin(x)

    = ∑( for n=0,∞) [tex]\frac{(-1)^{n}x^(2n+1) }{(2n+1)!}[/tex]

      =    ∑( for n=0,∞)    [tex]\frac{-1^{n+1}x^{2n+1} }{(2n+1)!}[/tex]

so sin (x)=  ∑( for n=0,∞) [tex]\frac{-1^{n+1}(x-\pi )^{2n+1} }{(2n+1)! }[/tex]

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find the Taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) → 0.] f(x) = sin(x), a = π????

a coin is weighted so that the probability of obtaining a head in a single toss is 0.25. if the coin is tossed 45 times, what is the probability of obtaining between 9 and 14 heads, exclusive. a. 0.0537 b. 0.5051 c. 0.7201 d. 0.6975 e. 0.4836

Answers

The probability of obtaining between 9 and 14 heads is .0.0408

Probability:

in statistics, probability refers the possibility of the outcome of any random event.

Given,

A coin is weighted so that the probability of obtaining a head in a single toss is 0.25.

Here we need to find the probability of obtaining between 9 and 14 heads if the coin is tossed 45 times.

While we looking into the given question,

Probability of obtaining a head in a single toss = 0.25

Number of toss = 45

Here we need to find the probability of getting head between 9 and 14, is calculated as,

=> mean = 45 x 0.25 = 11.25

=> standard deviation = √11.25 x(1 - 0.25) = 2.9

Here the probability is written as,

=> P(9 < x < 14) = P(8.5 < x < 14.5)

Then the z score, is

=> z = (8.5 - 11.25)/2.9 = -0.9483

=> z = (14.5 - 11.25)/2.9 = 1.1207

So, the given probability is rewritten as,

=> P(9 < x < 14) = P(z < 1.1207) - P(z < 0.9483)

When we apply the value of z score on it then we get,

= > P(z < -0.9483) = 0.17149

=> P(z > 1.1207) = 0.13121

=> P(9 < x < 14) = 0.13121 - 0.17149

=> 0.0403

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given a fair 6-sided die if you roll it 5 times and add up the results, what is the probability that the sum is divisible by 6

Answers

1/6  is the Dice roll probability that the sum is divisible by 6

What is Dice roll Probability ?

An event is a specific subset of the sample space in probability. The sample space, for instance, is equal to all of the values on the die, or the set, when just one die is rolled, as in the example above (1, 2, 3, 4, 5, 6). Each number in the set only appears once since the die is impartial. The frequency of each number is thus 1. We divide the event frequency (1) by the size of the sample space (6) to get the chance of rolling any one of the die's numbers, which comes out to 1/6.

The difficulty of computing probability more than doubles when two fair dice are rolled. This is so that rolling one die does not affect rolling another. A roll does not affect another roll. We apply the multiplication rule when dealing with independent occurrences. A tree diagram is used to show that there are 6 × 6 = 36 possibilities that can result from rolling two dice.

We know that whatever be the first four numbers , the fifth number will decide whether the sum is divisible by 6 or not

That is let , S= N+N5

Before adding N5 , we cannot say whether S is divisible by 6

N5 is chosen from 6 equally likely numbers ,1,2,3,4,5,6

P(N5) =1/6

Therefore  Dice roll probability that sum is divisible by 6 is 1/6

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(0.5- 0.3) power of 2?

Answers

Key ConceptsOperations with exponents

Solving the Question

[tex](0.5- 0.3)^2[/tex]

⇒ Subtract inside the parentheses:

[tex]= (0.2)^2[/tex]

⇒ Evaluate the exponent by multiplying 0.2 by 0.2:

[tex]= 0.04[/tex]

Answer

0.04

Answer:

0.04

Step-by-step explanation:

a company is placing an order for boxed lunches for a meeting of its executive board. there are 10 members of the board and each will have one lunch. the company is getting the lunches from a restaurant that has 25 varieties of boxed lunches. (a) how many different ways are there for the company to place the lunch order for the 10 lunches? note that it is not important who gets what lunch. all that matters is how many of each of the 25 possible varieties are purchased. (b) how many ways are there for the company to place the lunch order if the 10 lunches purchased are all different? (again, who gets what lunch is not important, just how many of each lunch are purchased).

Answers

a)

There are 3268760 different ways for the company to place the lunch order for the 10 lunches

b)

There are 11861676288000 ways for the company to place the lunch order if the 10 lunches purchased are all different

What is permutation and combination?

The process of placing all the components of a set into a certain sequence or order is known as permutation in mathematics. In other terms, the process of permuting is the reordering of the components of a set if the set is already ordered. Nearly all areas of mathematics include permutations in some form or another. They frequently appear when various orderings on certain finite sets are taken into account.

Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations may be counted in simpler situatiThe combinationation is the taking together of n items, k at a time, without repetition. The terms k-selection or k-combination with repetition are frequently used to describe combinations where repetition is permitted.

a) total different ways are [tex]C^{25} _{10}[/tex]

= 25!/(25-10)!10!

= 25!/15! * 10!

= 3268760

b) total different ways are [tex]P^{25} _{10}[/tex]

= 25!/(25-10)!

= 25!/15!

= 11861676288000

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