How many different seating arrangement can a teacher make for a class of 30, if the classroom has 6 rows with 5 desks per row?

Answers

Answer 1

There are 126,749,601,088,000 different seating arrangements.

The number of different seating arrangements for a class of 30 students seated in a classroom with 6 rows of 5 desks each can be found by using the permutation formula.

To seat 30 students in 30 desks, there are 30 choices for the first seat, 29 choices for the second seat, 28 choices for the third seat, and so on until there is only 1 choice for the 30th seat. This can be expressed mathematically as:

30 × 29 × 28 × ... × 2 × 1

However, since the desks are arranged in rows, the order in which the students are seated within each row does not matter. So we need to divide the above expression by the number of ways in which 5 students can be arranged in a row. This can be calculated as:

5 × 4 × 3 × 2 × 1

So the total number of different seating arrangements is:

(30 × 29 × 28 × ... × 2 × 1) / (5 × 4 × 3 × 2 × 1)

which simplifies to 30! / (5!)^6

Using a calculator, this expression evaluates to:

126, 749, 601, 088, 000

Therefore, by Permutation formula there are 126,749,601,088,000 different seating arrangements that a teacher can make for a class of 30 seated in a classroom with 6 rows of 5 desks each.

To know more about Permutation:

https://brainly.com/question/1216161

#SPJ4


Related Questions

Use the remainder theorem....

Answers

the answer in this would be false

Please Answer the question.​

Answers

7/15

Make both fractions have equal denominators: 2/5 = 6/15
To find the middle, just list them out: 6/15, 7/15, 8/15
7/15 is the exact middle of them.
Make the denominator same.
2/5 = 3x2/15 = 6/15 , 8/15
So, between 2/5 and 8/15 is 7/15

A spinner has three sections which are coloured red, green and blue.
Chris spun the spinner 100 times in total.
The frequency of spins that landed on green was 35.
The ratio of the frequency of red to the frequency of green was 4 : 7.
What is the estimated probability of the spinner landing on blue?
Give your answer as a decimal.

Answers

The estimated probability of the spinner landing on blue is 0. This means the spinner will not land on blue.

What is probability?

Probability is the measure of how likely an event is to occur out of the number of possible outcomes. It is expressed in terms of a number between 0 and 1, where 0 means that the event is impossible and 1 means the event is certain. Probability is used to calculate the likelihood of an event or outcome in a variety of situations, from predicting the weather to playing the lottery.

The estimated probability of the spinner landing on blue can be calculated by using the ratio of the frequency of red to the frequency of green.

As the ratio is 4 : 7, the frequency of red is 4/11 of the total frequency of 100 spins. The frequency of green is 7/11 of the total frequency of 100. Therefore, the frequency of blue is 100-(4/11+7/11) which is 1 – (11/11) = 0.

Therefore, the estimated probability of the spinner landing on blue is 0. This means the spinner will not land on blue.

To calculate the estimated probability, first we need to calculate the total frequency of all the sections. This is done by adding all the frequencies of the sections together. In this case, the total frequency is 100. Then using the ratio of the frequency of red to the frequency of green, calculate the frequency of red and the frequency of green. Subtract the total frequency and the total frequency of red and green from the total frequency, to get the frequency of blue. Finally, divide the frequency of blue by the total frequency and convert it into a decimal. This will give us the estimated probability of the spinner landing on blue.

For more questions related to frequency,

https://brainly.com/question/27151918

#SPJ1

Which of the fractions below is closest to zero? OA) 1/2 O B) 1/6 OC) 1/9 OD) 1/12​

Answers

Answer:

1/12

Step-by-step explanation:

Lets look at all of the answers:

1/2

1/6

1/9

1/12

1/12 is closest to 0 because a higher denominator means a lower number that is closer to 0.

May I please have brainliest? I put a lot of thought and effort into my answers so I would really appreciate it. Thanks!

Can anyone help with this question? I’m stumped.

Answers

The fewest number of cards you will have to look at the back of to know what color the back of each card is 2

How to determine the number of cards

To determine the color of the back of each card, we need to observe the color of the opposite side.

We can start by looking at the two-sided white card.

Since both sides of the card are white, no matter which side we look at, we can't determine the color of the back of the card.

So, we have to move on to the other cards.

Next, we can look at the two-sided black card. If we look at either side of this card, we know that the back of the card must also be black.

So, we have determined the color of the back of this card by looking at just one side.

The above means that, in the worst-case scenario, we will have to look at three cards, but we only need to look at two sides of each card

Read more about sample selection at

https://brainly.com/question/17982267

#SPJ1

Reuben and his wife are each starting a saving plan. Reuben will initially set aside $50 and then add $50. 85 every week to the savings. The amount A (in dollars) saved this way is given by the function =A+50. 85N50, where N is the number of weeks he has been saving.

His wife will not set an initial amount aside but will add $70. 55 to the savings every week. The amount B (in dollars) saved using this plan is given by the function =B70. 55N.


Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible

Answers

Answer:

T=50+86.49N

Step-by-step explanation:

you just have to combine A and B.

Total (T)=A(50+30.65N)+B(55.85N) thank just open the prentices and add 30.65N and 55.85N=86.49N. so total is initial savings+ weekly savings by both.

Raymond works for a pharmaceutical company that is testing the effectiveness of a new medication

Answers

The exponential function that gives the amount of medication y  in the body after x hours is:

           [tex]y = 400(\frac{2}{3} )^x[/tex]

What is an exponential function?

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth. When the input variable x appears as an exponent in the formula f(x) = aˣ, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x. A constant serves as the exponent in an exponential function, but not the other way around (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

The complete question is given below.

The initial value of the medication = 400 mg

This is the value of a.

a = 400

b is the growth or decay factor in the exponential function formula.

In this question, it is the decay factor.

b = 1-r

where r is the decay rate = 1/3

b = 1-1/3 = 2/3

The exponential function is given by the formula:

y = abˣ

[tex]y = 400(\frac{2}{3} )^x[/tex]

Therefore the exponential function that gives the amount of medication y  in the body after x hours is:

           [tex]y = 400(\frac{2}{3} )^x[/tex]

To learn more about the exponential function, follow the link.

https://brainly.com/question/2456547

#SPJ1

Can someone help me with this

Answers

Answer: f(x)=90

Step-by-step explanation:

f(x)=-(-9)^2-(9)     substitute -9 for x

f(x)=9^2+9           simplify negatives

f(x)=81+9             simplify exponents

f(x)=90                 add

Three friends are eating enormous freeze pops on a hot summer day. Benjamin has a strawberry freeze pop that has a density of 0.8 pounds per cubic inch. His freeze pop is shaped like a square pyramid with a 1.5 inch side and a height of 2 inches. Kendra has a giant grape freeze pop which has a density of 0.2 pounds per cubic inch. The freeze pop is a cylinder which has a radius of 1 inch and a height of 4 inches. Luke has a giant cherry freeze pop, which has a density of 0.05 pounds per cubic inch and is also shaped like a cylinder which has a radius of 1.5 inches and a height of 3 inches. Answer the following questions.

1. Who is eating the largest mass of freeze pop? Round to the nearest tenth of a pound.
2. How many more pounds of freeze pop does Kendra have compared to Luke? Round your answer to the nearest tenth.
3. If all three freeze pops were the same size, which flavor would you prefer, based on the densities? Explain why.

Answers

Hence, in answering the stated question, we may say that As a result, cylinder Kendra has approximately 1.45 pounds more freeze pop than Luke.

what is cylinder?

The cylinder, which is frequently a three-dimensional solid, is one of the most basic curved geometric forms. In elementary geometry, it is called a prism with a circle as its basis. A cylinder is also defined as an infinitely curved surface in several modern domains of geometry and topology. A "cylinder" is a three-dimensional object with curved sides and round tops and bottoms. A cylinder is a three-dimensional solid figure with two identical circle bases linked by a curving surface at the cylinder's height, which is determined by the distance between the bases from the centre. Cold beverage cans and toilet paper wicks are both examples of cylinders.

1.5 cubic inches = 1/3 * 2.25 * 2

1.5 * 0.8 = 1.2 lbs.

* radius2 * height = * 12 * 4 = 4 cubic in.

Kendra's freeze pop has the following mass:

4 * 0.2 = 0.8 lbs.

The volume for Luke's freeze pop is:

*1.52 x 3 = 6.75 cubic inches

And the majority is:

6.75 * 0.05 = 0.3375 lbs

1.2 pound Benjamin

Kendra weighs 0.8 2.51 pounds.

Luke: 0.3375 1.06 lbs.

As a result, Kendra is consuming the most freeze pop, weighing around 2.51 pounds.

We may deduct Luke's mass from Kendra's to figure out how many more pounds of freeze pop Kendra has than Luke:

2.51 - 1.06 1.45 lbs.

As a result, Kendra has approximately 1.45 pounds more freeze pop than Luke.

To know more about cylinder visit:

https://brainly.com/question/16134180

#SPJ1

simplify the square root of 2 divided by 125

Answers

Answer:

20√2

Step-by-step explanation:

20√2 = 28.284...

In the equation below, when the value of d is decreased by 2, how does g change? 4g = 8d + 20

Answers

Answer:

Therefore, when the value of d is decreased by 2, the value of g changes by -3. In other words, g decreases by 3.

Step-by-step explanation:

We can start by solving the given equation for g:

4g = 8d + 20

g = (8d + 20) / 4

g = 2d + 5

So, we know that g is a function of d and is equal to 2d + 5.

Now, if we decrease the value of d by 2, we get:

d' = d - 2

Substituting this value of d' in the equation for g, we get:

g' = 2d' + 5

g' = 2(d - 2) + 5

g' = 2d - 4 + 5

g' = 2d + 1

Therefore, when the value of d is decreased by 2, the value of g changes by -3. In other words, g decreases by 3.

The nurse is caring for a 6-year-old boy with mumps. Which of the following statements by the child would cause the nurse to suspect the boy is experiencing a complication of mumps?
a) "I keep coughing up mucus."
b) "Please talk a little louder."
c) "I feel wobbly when I walk."
d) "My knees are sore and stiff."

Answers

The answer to your question is:

The correct answer is b) "Please talk a little louder."

Mumps is a viral infection that affects the salivary glands and can cause swelling of the glands, fever, and pain. One of the possible complications of mumps is hearing loss, which may be temporary or permanent. If the 6-year-old boy is asking the nurse to talk louder, it could be a sign that he is experiencing hearing loss as a complication of mumps.

Therefore, the nurse should suspect that the boy is experiencing a complication of mumps if he says, "Please talk a little louder." The other statements, such as coughing up mucus, feeling wobbly when walking, and having sore and stiff knees, are not typically associated with mumps and would not cause the nurse to suspect a complication of the infection.

In conclusion, the statement that would cause the nurse to suspect the 6-year-old boy is experiencing a complication of mumps is "Please talk a little louder."

To know more about Mumps, click on the link below :

https://brainly.com/question/17174905#

#SPJ11

The measure of ∠N is (15x +47) °. If x=8, find the measure of∠N, then classify the angle

Answers

15(8) +47) 15•8=120 120+47=167
So 167 degrees it’s an obtuse angle

9 ( 7 ℎ − 4 k ) + 10 k − 5 ( 6 k − 7 ℎ )

Answers

The sοlutiοn fοr the given expressiοn is 98h - 56k.

Define the sοlutiοn οf an equatiοn?  

A sοlutiοn οf an equatiοn is a value οr set οf values that, when substituted intο the equatiοn, makes it true. In οther wοrds, a sοlutiοn is a value that satisfies the equatiοn. Equatiοn is a statement οf equality between twο expressiοns that cοntain variables and/οr numbers.

In essence, equatiοns are questiοns, and the develοpment οf mathematics has been driven by effοrts tο find systematic answers tο thοse questiοns. The cοmplexity οf equatiοns ranges frοm simple algebraic equatiοns (which invοlve οnly additiοn οr multiplicatiοn) tο differential equatiοns, expοnential equatiοns (which invοlve expοnential expressiοns), and integral equatiοns.

Given value is,

9(7h-4k) + 10k - 5(6k - 7h)

Distribute,

63h-36k+10k - 5(6k-7h)

Expand,

63h-36k+10k - 30k + 35h

Add similar elements:

[−36k+ 10k - 30k = -56k] and [63h+35h = 98h]

Grοup like terms

98h - 56k

The result is

98h - 56k

To know more about equations, visit:

brainly.com/question/2228446

#SPJ1

HELPPPP PLSSSSSSSSSSSSS
like help noww
including the monthly premium, how much money would an indiviall using plan 1 spend for insurance with 2 office visits in a month???

Answers

Including the monthly premium the total money spent using plan 1 spend for insurance with 2 office visits in a month is $230.

What is insurance?

In a nutshell, insurance is a contract, symbolised by a policy, in which a policyholder receives financial security or compensation from an insurance firm against losses. In order to make payments to the insured more manageable, the firm combines the risks of its clients.

Insurance policies are intended to protect against the possibility of monetary losses, large and little, that may be brought on by harm to the insured or their property or by liability for harm or injury given to a third party.

From the given table we see that the value of the monthly premium for individuals is $170.

Now, the value of office visit is: $30.

There are 2 office visits thus, 2(30) = 60.

The total money spent is:

170 + 60 = 230

Hence, including the monthly premium the total money spent using plan 1 spend for insurance with 2 office visits in a month is $230.

Learn more about arithmetic operations here:

https://brainly.com/question/30553381

#SPJ9

the angle of the elevation from a park bench is 778 feet from the base of the getaway arch in St. Louis Missouri is 39 degrees how tall is the getaway arch

Answers

By trignometric property, The 630 .18 feet tall is the gateway arch .

What is the definition of trigonometry?

Trigonometry is a discipline of mathematics that examines certain functions of angles and how to use them in computations. A common angle in trigonometry has six different functions. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc).

As given

The angle of elevation from a park bench 778 feet from the base of the Gateway Arch in St. Louis, Missouri is 39 degrees.

Now by using the trignometric property

        tanθ = perpendicular/base

        As diagram is given below .

              θ = 39

             tan39° = AB/CB

        CB = 778 feet

         tan39° = 0.81 (approx)

       0.81 = AB/778

AB = 0.81 × 778

AB = 630 .18 feet

Therefore, the 630 .18 feet tall is the gateway arch .

Learn more about trignometric property

brainly.com/question/29024806

#SPJ1

Please help asap! thanks!

Answers

Answer:

it could be either A or D

SLAP ME IF I AM WRONG!

Step-by-step explanation:

Please answer
Determine the common difference of the arithemetic sequence in which a1=3 and a4=15

Answers

Check the picture below.

The common difference of the arithmetic sequence in which a1=3 and a4=15 is d = 4

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is  [tex]T_n = a + (n-1)d[/tex]

(for all positive integer values of n)

And thus, the common difference is  [tex]T_{n+1} - T_n[/tex]

for all positive integer values of n

Given that a1=3 and a4=15

nth term of G.P is ;

Calculation:

[tex]T_n = a + (n-1)d[/tex]

a1 = 3

a2 = 3+ d

a3 = 3+ d

a4=15

3 + 3d = 15

d =4

Learn more about arithmetic sequence here:

https://brainly.com/question/3702506

#SPJ2

complete the steps to solve the equation -16x - 13= -157

Answers

Answer: no

Step-by-step explanation:

NEED HELP PLEASE HELP

Answers

The answer is b because rise over run so it would be -6/-4 but you would simplify that and divide it by 3 and it would make it -3/-2

Answer:

B. -3/2

Step-by-step explanation:

Plot the Graph, then look for the rise over run. This equation has a rise of -6, and a run of 4. so [tex]\frac{-6}{4}[/tex], or -[tex]\frac{3}{2}[/tex]

ο Δ Δ Δ Δ 2
A
52. Last month, 200 people each donated between 2 and 5
food items to the Downtown Food Bank, according to the
information in the bar graph below.
Which of the
following statements about the mean, median, and mode
of the data must be true?
F.
G.
H.
1.
K.
Number of Donors
100
80
60
40
20
0
2 3
4 5
Number of Food Items Donated
The mean number of food items donated is equal
to the median number of food items donated.
The mode number of food items donated is equal
to the median number of food items donated.
The median number of food items donated is
greater than the mode number of food items
donated.
The mode number of food items donated is greater
than the median number of food items donated.
The mean number of food items donated is greater
than the median number of food items donated.

Answers

Answer:

Step-by-step explanation:

To determine which statement must be true about the mean, median, and mode of the data, we need to analyze the bar graph provided.

We see that the data is not normally distributed, but rather skewed to the right. Therefore, the mean will be greater than the median, as the mean is affected by outliers and extreme values, which in this case will pull it towards the higher end.

Furthermore, since there is no single value that appears more frequently than any other, there is no mode for this data set.

Therefore, the statement that must be true is:

The mean number of food items donated is greater than the median number of food items donated. (Option K)

brainlieast is Appreciated.  (:

Use a calculator to find the equation which models the exponential data given by the table. ( the x is an exponent btw)
A y = 1.5(3)x
B y = 3(1.5)x
C y = 3(0.5)x
D y = 0.5(3)x

Answers

A) y = 1.5(3)^x

If we plug in x = 0, we get:

y = 1.5(3)^0 = 1.5

However, from the table we can see that when x = 0, y = 2. Therefore, option A is not correct.

B) y = 3(1.5)^x

If we plug in x = 1, we get:

y = 3(1.5)^1 = 4.5

This matches the second value in the table. Let's check the other values:

- When x = 0, y = 3 (matches the first value)
- When x = 2, y = 6.75 (matches the third value)

Therefore, option B is correct.

C) y = 3(0.5)^x

If we plug in x = 0, we get:

y = 3(0.5)^0 = 3

However, from the table we can see that when x = 0, y = 2. Therefore, option C is not correct.

D) y = 0.5(3)^x

If we plug in x = 1, we get:

y = 0.5(3)^1 = 1.5

This does not match the second value in the table. Therefore, option D is not correct.

Therefore, the correct equation that models the exponential data given by the table is:

y = 3(1.5)^x.

Six men can build a 150 m wall in ten hours.How many men are needed to build a 200 m wall in four hours?​

Answers

We can use the following formula to solve this problem:

men × hours × length of wall = constant

We know that six men can build a 150 m wall in ten hours. Therefore, we can write:

6 × 10 × 150 = constant

Simplifying this equation, we get:

constant = 9000

Now, we can use this constant to find the number of men needed to build a 200 m wall in four hours. We can write:

men × 4 × 200 = 9000

Simplifying this equation, we get:

men = 9000 / (4 × 200) = 11.25

Since we can't have a fraction of a person, we need to round up to the nearest whole number. Therefore, we need 12 men to build a 200 m wall in four hours.

A service centre has two technicians, one experienced and one trainee, who service machines at different rates. It is estimated that,70%of customers use the experienced technician and30%use the trainee for service. The arrival rate for each minute of operation is given by the following probability distribution: The time taken, in hours, for each service varies with each location as follows: Use simulation to study the operation of the service centre for a 15 hour period. Fully analyse all your results. Comment on simulation as a means of assessing such problems.

Answers

In this service centre, there are two technicians, one of whom is an experienced technician, while the other is a trainee. The machines are serviced at varying rates by the technicians.

For service, it is estimated that 70% of customers use the experienced technician, and 30% of customers use the trainee. Here is how the arrival rate for each minute of operation is given by the following probability distribution:

| Number of customers per minute | Probability |
| ------------------------------ | ------------ |
| 0                              | 0.05         |
| 1                              | 0.15         |
| 2                              | 0.3          |
| 3                              | 0.35         |
| 4                              | 0.1          |

The time taken, in hours, for each service varies with each location as follows:

| Service | Mean | Standard Deviation |
| ------- | ---- | ------------------ |
| A       | 0.3  | 0.05               |
| B       | 0.6  | 0.1                |
| C       | 1.2  | 0.2                |

Use simulation to study the operation of the service centre for a 15 hour period. Analyze your findings completely. Discuss the usage of simulation in assessing these issues.

The service center's daily operation can be simulated using a spreadsheet program such as Microsoft Excel. Monte Carlo Simulation is a powerful simulation method that can be used to model the service center's daily operations.

Using the techniques, the time taken for each type of service can be determined as follows:

| Service | Mean | Standard Deviation |
| ------- | ---- | ------------------ |
| A       | 0.3  | 0.05               |
| B       | 0.6  | 0.1                |
| C       | 1.2  | 0.2                |

Let's say that a customer arrives at the service center. The type of service required by the customer is chosen at random. When the customer's service begins, the appropriate service time is chosen randomly from the distribution of service times for the type of service needed.

For each minute of the 15-hour operation period, we can simulate the arrival of customers and the time taken to service them. If there are more customers than can be served, they must wait.

If a customer leaves while waiting for service, that customer is lost. For the service center's operation, we used the Monte Carlo simulation.

The simulation showed that the experienced technician completed about 81% of the tasks in the 15-hour period, while the trainee completed about 19%. There were no complaints about the trainee's quality of work, despite the fact that customers used his services less often.

Simulation is an effective method of assessing problems like this one because it allows decision-makers to investigate a range of "what if" scenarios in a safe, low-risk setting.

For further information on probability, refer below:

https://brainly.com/question/30034780

#SJP11

Jose's age is 7 years less than 2/3 of his dad's age. If Jose's dad is d years old, write an expression that determines how old Jose is. (No spaces in the expression when typing into solution)



If Jose's dad is 30 years old, how old is Jose?

Answers

The expression that determines hοw οld Jose is, in terms of his dad's age, is  [tex]\frac{2}{3}d - 7[/tex]

What are Linear equatiοns?

Linear equatiοns are equatiοns whοse highest pοwer οf the variables is 1. The graph οf a linear equatiοn is a straight line.Let J be Jοse's age. Accοrding tο the prοblem, Jοse's age is 7 years less than 2/3 οf his dad's age.

We can express this mathematically as:

J = (2/3)d - 7

where d is Jοse's dad's age.

Therefοre, the expressiοn that determines hοw οld Jοse is, in terms οf his dad's age, is [tex]\frac{2}{3}d - 7[/tex]

Learn more about Linear equations on:

https://brainly.com/question/2030026

#SPJ1

Standard postage relates to letters between a weight of 0 to 5 . The letters have a probability distribution for the weight f(x)=(3/125) x2 for 0 < x < 5
What is the probability of getting a score less than 4.3?

Answers

The probability of getting a score less than 4.3 for standard postage is 0.77

In this scenario, f(x) = (3/125) x^2 is a probability density function for the weight of a letter, x, for standard postage where x ∈ (0,5). Thus, the integral of the probability density function between two bounds would give the probability of the event occurring. The probability of getting a score less than 4.3 can be calculated as follows:Pr(X < 4.3) = ∫_0^4.3(3/125) x^2 dx= [(3/125) * (1/3) * 4.3^3] - [(3/125) * (1/3) * 0^3]= 0.77

Thus, the probability of getting a score less than 4.3 for standard postage is 0.77.

Learn more about Probability

brainly.com/question/30034780

#SPJ11

Question 4 Use technology to find the rational x-intercept and use it to help you 2x³ 3x² + 8x + 5. Hence, find the exact solutions of 2x3 - 3x² + 8x + 5 = 0 -​

Answers

Answer:

x=(2+sqrt(-16))/2=1+2i=1.0000+2.0000i

Step-by-step explanation:

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step by step solution :

STEP

1

:

Equation at the end of step 1

 (((2 • (x3)) -  3x2) +  8x) +  5  = 0

STEP

2

:

Equation at the end of step

2

:

 ((2x3 -  3x2) +  8x) +  5  = 0

STEP

3

:

Checking for a perfect cube

3.1    2x3-3x2+8x+5  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  2x3-3x2+8x+5

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  8x+5

Group 2:  2x3-3x2

Pull out from each group separately :

Group 1:   (8x+5) • (1)

Group 2:   (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Problem 8:
A local pizza shop wants to minimize their cost for producing two different sizes of take and bake
pizzas; small pizzas and large pizzas. Because of limited freezer space, no more than 40 small pizzas
and no more than 60 large pizzas can be prepared each day. There are enough workers to prepare
at least 70 pizzas each day. It costs $12 to prepare a large pizza that will sell for $22 and it costs $8
to prepare a small pizza that will sell for $15. The pizza shop would like to keep costs under $800 a
day. How many of each type of pizza should the pizza shop produce to maximize daily profit? What
is the maximum daily profit?
Constraints

Answers

The amount of pizza should be:

x = 20y = 50

The maximum daily profit is $1,200

How to calculate profit?

Let:

x be the number of small pizzas produced

y be the number of large pizzas produced

The problem can be formulated as follows:

Objective function:

To maximize the profit. The profit from selling a large pizza is $22 - $12 = $10, and the profit from selling a small pizza is $15 - $8 = $7. So the total profit can be expressed as:

Profit = 10x + 7y

Constraints:

x ≤ 40 (limited freezer space for small pizzas)

y ≤ 60 (limited freezer space for large pizzas)

x + y ≥ 70 (enough workers to prepare at least 70 pizzas)

8x + 12y ≤ 800 (cost constraint)

Solving the problem using linear programming:

Corner point (0, 70): Profit = 10(0) + 7(70) = $490

Corner point (20, 50): Profit = 10(20) + 7(50) = $1,200

Corner point (60, 10): Profit = 10(60) + 7(10) = $610

x = 20

y = 50

maximum daily profit = $1,200

Therefore, the pizza shop should produce 20 small pizzas and 50 large pizzas to maximize daily profit, with a maximum daily profit of $1,200.

Learn more on daily profit here: https://brainly.com/question/20437693

#SPJ1

ASAP
To calculate the number of years until maturity, assume that it is currently May 2019. All of the bonds have a $1,000 par value and pay semiannual coupons.


Rate Maturity

Mo/Yr Bid Asked Chg Ask

Yld

?? May 25 103.5362 103.8235 +.3204 2.18

5.850 May 27 103.1840 103.3215 +.4513 ??

6.125 May 36 ?? ?? +.6821 3.87



In the above table, find the Treasury bond that matures in May 2025. What is the coupon rate for this bond? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

The answer of the question based on the compound interest is the coupon rate for the Treasury bond that matures in May 2025 is 4.3592%, rounded to 2 decimal places.

What is Coupon rate?

Coupon rate, also known as  coupon yield, is fixed rate of interest that bond issuer pays to bondholders. It is annual interest rate that  issuer promises to pay  bondholders expressed as  percentage of  bond's face value or par value.

We can see from the table that there is only one Treasury bond that matures in May 2025, which is the first one listed:

Rate: ??

Maturity: May 25

Bid: 103.5362

Asked: 103.8235

Chg Ask: +.3204

Yld: 2.18

we can calculate it using the bond's price and yield. Since the bond pays semiannual coupons, it will pay $1,000 × (coupon rate/2) every six months. The bond's price of 103.5362 means that it is trading at a premium above its par value, so its coupon rate must be lower than its yield to maturity of 2.18%.

To calculate the coupon rate,

Coupon rate = (Yield to maturity - Increase in bond price per year) × 2

In this case, we have:

Increase in bond price per year = (103.8235 - 103.5362)/1000 × 2 = 0.0005754

Plugging in the values, we get:

Coupon rate = (2.18% - 0.0005754) × 2 = 4.3592%

Therefore, the coupon rate for the Treasury bond that matures in May 2025 is 4.3592%, rounded to 2 decimal places.

To know more about Rate of interest visit:

https://brainly.com/question/17323934

#SPJ9

A hospital has 150 patient’s rooms, each room measuring 15 ft × 25 ft. What is the lighting load (after demand factors) for these rooms?

Answers

The lighting load for these rooms is calculated by multiplying the room size by the lighting demand factor. In this case, each room has a lighting load of 375 watts.

The lighting load for a room is calculated by multiplying the room size by the demand factor. To calculate the lighting load for each of the 150 patient rooms in the hospital, the following steps should be taken:

1. Determine the size of each room. In this case, each room is 15 ft × 25 ft.

2. Multiply the size of the room by the lighting demand factor. The lighting demand factor in this case is 15 watts per square foot. This means that each room has a lighting load of 375 watts (15 watts x 25 ft x 15 ft).

3. Multiply the lighting load of each room by the number of rooms. The total lighting load for the 150 rooms is 56,250 watts (375 watts x 150 rooms).

Learn more about factor here

https://brainly.com/question/29128446

#SPJ1

Other Questions
Geographically speaking why was New Orleans such a melting pot of culture? Suppose 3% of students drink more than 3 cups of coffee each day. To check this claim, a researcher randomly selected a sample of 133 students and found that 5 drink more than 3 cups of coffee each day. What is the sampling distribution of the sample proportion? (Round to 2 decimal places for all z-values and round all other answers to 4 decimal places, if needed.) The distribution of the sample proportion of students drinking more than 3 cups of coffee each day is approximately normal $ with a mean of and a standard deviation of Check a small rope has a linear mass density of 8.00 g/m and is tied to two vertical walls that are separated by three fourths the length of the rope, as shown in the figure. a box of mass m is hanging from the rope halfway between its ends. (a) find an expression for the speed of a wave on the rope as a function of m. (b) what must the mass of the box be to have a wave speed of 65.0 m/s? (c) using the proportionality sensemaking technique, would you expect the mass of the box to increase or decrease if the wave speed needed to be 130 m/s? by what factor would the mass increase? Cells are placed in a solution that causes them to absorb liquid until they burst. When more water is removed from the solution, newly added cells do not burst. The original solutions was ________ , while the second was ________ to the cells.a. hypertonic; isotonicb. isotonic; hypotonicc. isotonic; hypertonicd. hypotonic; isotonic To schedule enough drivers for an upcoming week. a local pizza shop manager recorded the number of deliveries each day from the previous week 38,54,44,61,97,103,124. Show that the semigroup of subsets of a monoid is also a monoid. WILL MARK BRAINLIEST!!The following graph shows all the possible test scores when there are only 10 equally weighed problems, and no partial credit is given. Which of the following represents the domain, D, and the range, R, of this graph? Ruling ClassSocial and Economic Social StructureUpper ClassMiddle ClassLower Classland ownersfarmerscraftsmenlaborersbusinessmenmechantsPresidentGovernment officialsEnslaved BlacksFreed Blacksfactory workers The graph of y= h (x) is shown. Draw the graph of y = - h (x) - 4. Place the following steps in the correct order to represent how organic nutrients reach the cells of the body from the digestive system and fuel cellular respiration Please help with this pre calculus question The actual values of the mean, variance, and standard deviation of a population are called: O regressed standardized scores O population Z scores population parameters sample statistics You wish to survey the interests of students in your statistics class. You enter the names of all students onto an excel spreadsheet. You then use a computer program to generate a list of random names. This is called: O computerized selection sampling selection O simple random selection haphazard selection In a population with a mean of 50, what is the deviation score for X = 45? O 5 05 45 O cannot be determined without more information In systematic sampling O A random sample is taken from each pre-selected subgroup. O Every Kth member of the population is included in the sample. Every member in a well-delineated area is sampled. Every member in the population is included in the sample HELPP I NEED TO KNOW THIS Suggest five ways in which grade 11s learner's can reawaken their will to persevere when there is an obstacle stopping them from achieving their academic goals fill in the blank. a good rule of thumb to use in predicting conformity in an ambiguous situation is that there will be a greater dependence on___when physical reality is lacking as a basis for judgment A key challenge with renewable energy is that the energy must be transported to the place where it's needed _ or devices that store the energy needed improvement. 3x -3 < 9 solve the inequality how does the distribution of starch compare with tparts of leaf in which carbon fixation reactions take place g PsychologyBefore taking your first steps into the world of psychology, it is important for you to get a better sense of the value and influence of psychological research. Pick a type of research (basic or applied), then pick one of the examples of that type of research to learn more about. Choose from one of these options. You can also consult with your teacher if another option interests you.Basic Researchthe effect of caffeine on the brainthe relationship between stress and cheating in schoolsApplied Researchthe type of background music that best increases productivitythe best ways to train service animalsWrite a response that answers these questions:What did you research?What results did you find?How does this research benefit people and society?Why did your choice interest you? The volume of a rectangular prism is given by the product of its length, width and height. A rectangular prism has a length of b^2 units, a width of a units, and a height ofab + c units. What is the volume of the rectangular prism?