You arder eighteen borritos to go from a Mexican restaurant, nine with hot peppers and nine without. However, the restaurant forget to be them. If you ve buite stranicom, find the probability of the given event

Answers

Answer 1

Answer : The probability of the given event occurring would be 0.75 or 75%.

Explanation :The given problem states that you ordered eighteen burritos, with nine having hot peppers and nine not having hot peppers. However, the restaurant forgot your order. We are supposed to find the probability of the event happening.

Let the probability of getting a burrito with hot peppers be P(h) and the probability of getting a burrito without hot peppers be P(n).

The total number of burritos ordered is 18.

Thus, P(h) + P(n) = 18. We can assume that all burritos are the same.

Thus, P(h) = 9/18 = 0.5 and P(n) = 9/18 = 0.5.

Therefore, the probability of getting an order that is incorrect would be: 1 - (0.5 * 0.5) = 1 - 0.25 = 0.75 or 75%. Therefore, the probability of the given event occurring would be 0.75 or 75%.

Learn more about probability here https://brainly.com/question/31120123

#SPJ11


Related Questions


angle not necessarily drawn to scale

Answers

Answer:

pretty sure its 67

Step-by-step explanation:

straight line=180 and that one angle is a right angle

basically 90+23+x=180

x=67

Maria paddled at a steady in a 2-mile canoe race. Her finish time was 3/5 hour.

Which fraction represents Maria’s speed in miles per hour?

3/5^/2

2/5

3/5

2/^3/5

Answers

Answer: 2/^3/5

Step-by-step explanation:

Maria paddled at a steady in a 2-mile canoe race. Her finish time was 3/5 hours. The fraction represents Maria’s speed in miles per hour is 2 /^3/5. The correct option is d.

What is the fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction.

The type of fractions are:

Proper fraction.Improper fraction.Equivalent fractions.Mixed fraction.Like fractions.Unlike fractions.

Here, Maria paddled 2 mile (distance). The time is 3/5 hours (time).

The fraction is speed = distance/time

2 mile / 3/5

Therefore, the correct option is d. 2 /^3/5.

To learn more about fractions, refer to the below link:

https://brainly.com/question/24411984

#SPJ5


I choose a card at random from a well-shuffled deck of 52 cards.
The probability that the card chosen is a spade or a black card
is:




a.

37/52




b.

38/52




c.

39/52




d.

36/52

Answers

The probability of choosing a card that is a spade or a black card is 3/4 or 0.75 which is option C

What is the probability that a randomly choose card is a spade or a black card?

To find the probability of choosing a card that is a spade or a black card, we can consider the number of favorable outcomes and the total number of possible outcomes.

Number of favorable outcomes:

There are 13 spades in a deck of 52 cards.There are 26 black cards (13 spades and 13 clubs) in a deck of 52 cards.

Total number of possible outcomes =  52 cards in a deck.

Now, we can calculate the probability:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = (13 + 26) / 52

Probability = 39 / 52

Probability = 3 / 4

Learn more on probability here;

https://brainly.com/question/24756209

#SPJ4

As part of his science project, Steve recorded the number of eggs laid by several lizards from the local pet shop. The data Steve collected is provided below.

10, 7, 8, 8, 9, 10, 9, 10, 8, 11, 11, 9, 7, 10, 9

In his report, Steve should use the _____ as a measure of center since his data is ____

Answers

10 and 7 and wkennrmmtmtkgkktktktkfkfkfkgkgkg

The temperature went down 3 F. Each hour. What was the total temperature change after 5 hours ?

Answers

After 5 hours the temperature decreased by 15 F. This is because 3 x 5 = 15. I hope this helps!

A rectangle has a width of 8cm and a length given by the expression 2n +3. What is the correct expression to find the area of the rectangle?

Answers

Answer:

16n + 24

Step-by-step explanation:

Area of a rectangle= Length × width

= (2n+3) × 8

= 16n + 24

Find the sine, cosine, and tangent of acute angle A

Answers

sine = 4/5

cosine = 3/5

tangent 4/ 5

How could you calculate the value of log11(9100) using a calculator? What does it equal (round to the nearest tenths place)?

Answers

I don’t know gjcdjdveudvdudhsvudbfvfif

A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many bacteria will there be after 9 hours


A. 256,000
B.40,500
C. 9,000
D. 4,500



(I NEED ANSWERED ASAP ) this my same question from the first one )

Answers

The answer is 9000 multiply the 9 by 2 and then multiply that answer by 500 which will be equal 9000
D, I think it’s a pretty simple equation 500 times 9 = 4,500

What’s an equivalent expression of -1/2(-2x+4y) ?

Answers

Answer:

x-2y

Step-by-step explanation:

duh

Answer: x - 2y

Step-by-step explanation: All you have to do is simplify some bit to get another expression

hey cutie ! pls help me :)
Ms. Jisoo is going on a trip to Hawaii. The function A(d)= 0.80d+200 models the amount A, in dollars, that Ms. Jisoo's company pays her based on the round trip distance d, in miles that Ms. Jisoo travels to do a job.

Ms. Jisoo's pay increases by $
A)200
B)80.200
C)0.80
D)200.80

Answers

Answer:

a-am i really cute

Step-by-step explanation:

Suppose that we observe the group size n, for j = 1,..., J. Regress ÿj√n, on xj√nj;. Show that the error terms of this regression are homoskedastic. (4 marks)

Answers

The error terms of this regression are homoskedastic.

Regression:

Regression is a statistical approach used to find the relationship between the dependent variable and independent variables by examining how one variable changes with respect to another variable.

Homoscedasticity:

Homoscedasticity refers to the circumstance where the variance of the errors of a regression model is uniform across all values of the independent variable.

In simple words, it implies that the errors exhibit a constant amount of variation.

It is also known as homogeneity of variance.

Group size n:

Suppose that we observe the group size n, for j = 1,..., J.

Regress ÿj√n, on xj√nj;.

Show that the error terms of this regression are homoskedastic.

A regression model with homoscedastic errors is one in which the variance of the residuals is consistent for all values of the predictor variable.

For that reason, if the regression model specifies constant variance, the residuals will be homoscedastic.

Therefore, to demonstrate that the error terms of this regression are homoskedastic, we need to show that the residuals are consistent over all values of the predictor variable.

To prove this, we will use the Breusch-Pagan test.  

Breusch-Pagan test:

B-P test, also known as the Breusch-Pagan-Godfrey test, was created by Trevor Breusch and Adrian Pagan in 1980 and is used to determine heteroscedasticity in a linear regression model.

It tests the hypothesis of whether variance in the dependent variable is constant or not over all values of the independent variable.

The following are the steps to apply the B-P test in the given scenario:

Step 1: Run the regression model

Step 2: Record the residuals

Step 3: Regress the squared residuals on the predictor variables

Step 4: Check the null hypothesis and p-value

If the null hypothesis is not rejected, this implies that the residuals are homoscedastic and that the assumption of constant variance holds true. Therefore, the error terms of this regression are homoskedastic.

To know more about hypothesis visit:

https://brainly.com/question/606806

#SPJ11

Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles. Determine P(not purple) when choosing one marble from the bag.
a.64%
b.36%
c.24%
d.8%

Answers

To determine the probability of not choosing a purple marble when selecting one marble from a bag containing 2 red, 4 green, 10 yellow, and 9 purple marbles. Correct option is A).

The total number of marbles in the bag is 2 (red) + 4 (green) + 10 (yellow) + 9 (purple) = 25 marbles.

The number of non-purple marbles is 2 (red) + 4 (green) + 10 (yellow) = 16 marbles.

Therefore, the probability of not choosing a purple marble is P(not purple) = 16/25.

To convert this fraction to a percentage, we divide the numerator (16) by the denominator (25) and multiply by 100: P(not purple) = (16/25) * 100 = 64%.

Hence, the probability of not choosing a purple marble when selecting one marble from the bag is 64%, which corresponds to option (a) in the given choices.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

p = 15
p
+4
3
please help thank you

Answers

Answer:

9

Step-by-step explanation:

15/3 simplified is 5.

5 + 4 = 9

A cylindrical tank holds 352 cu. ft. of water. The height of the tank is 7 ft. Find the
radius of the tank.
pls help me thx and show your work

Answers

Answer:

0.3334 ft

Step-by-step explanation:

Measure the height and radius of the tank. The radius is the distance from the center of the tank to its outer edge. Another way to find the radius is to divide the diameter, or width, by two. Square the radius by multiplying the radius times itself and then multiply it by 3.1416, which is the constant pi.

Given height and volume: r = √(V / (π * h)),Given height and lateral area: r = A_l / (2 * π * h),Given height and total area: r = (√(h² + 2 * A / π) - h) / 2,Given height and diagonal: r = √(h² + d²) / 2,Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2),Given volume and lateral area: r = 2 * V / A_l,Given base area: r = √(A_b / (2 * π)),Given lateral area and total area: r = √((A - A_l) / (2 * π)).

ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?

Answers

Answer:

7.68%

Step-by-step explanation:

The computation of the yield is shown below:

As we know that

Yield is

= Annual dividend ÷ Price per share

= $4.15 ÷ $54

= 7.68%

We simply divide the annual dividend from the price per share so that the yield could be determined

hence, the yield is 7.68%

And, the same would be relevant

A random sample of n = 145 items are selected for measurement. Nothing is known about the distribution of measurements. Are the requirements for constricting a confidence interval for the population mean satisfied? None of these No It depends Not enough information No answer text provided. Yes

Answers

The requirement for constricting a confidence interval for the population mean are not satisfied

How to determine if the requirements are satisfied

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

Sample size, n = 145

We understand that

There is no other information about the distribution of measurements

This shows that the requirements are not satisfied

This is so because we need to know

if the measurements are normally distributed if the sample size is large enough according to the Central Limit Theorem

Read more about normal distribution at

https://brainly.com/question/4079902

#SPJ4

If you know the area and the base of a triangle, how can you find the height?

Answers

Answer:    do your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!

Goods Neargo Bank hires salespeople to call potential customers to see if they'll open a new bank account. Suppose there's a 5% chance a call will result in a new bank account. After 200 calls, what's the probability that a salesperson getting at least 12 customers to open a new bank account? Use the binomial distribution function in Excel to answer this question

Answers

The probability that a salesperson will get at least 12 customers to open a new bank account after 200 calls using the binomial distribution function in Excel is approximately 0.9999.

To calculate the probability using the binomial distribution function in Excel, follow these steps:

1. Open Microsoft Excel and enter the following values in a new spreadsheet:

  - In cell A1, enter the number of trials (200).

  - In cell B1, enter the probability of success on a single trial (0.05).

  - In cell C1, enter the minimum number of successes needed (12).

2. In an empty cell, use the following formula to calculate the probability of getting at least 12 customers to open a new bank account:

  =1-BINOM.DIST.CUMULATIVE(C1-1, A1, B1, TRUE)

  This formula uses the BINOM.DIST.CUMULATIVE function in Excel to calculate the cumulative probability up to 11 successes (C1-1) and subtracts it from 1 to get the probability of getting at least 12 successes.

3. Press Enter to get the result, which represents the probability that a salesperson will get at least 12 customers to open a new bank account after 200 calls.

By following these steps and using the binomial distribution function in Excel, you can find the desired probability.

To know more about binomial distribution, refer here:

https://brainly.com/question/29137961

#SPJ4

if each square on the grid represents 400m squared, how many miles will your family travel in total

Answers

The family will travel approximately 0.0037075 miles in Total.

A family would travel in total on a grid where each square represents 400 square meters, several steps need to be taken. First, we need to determine the area covered by the family.

To do this, we will count the number of squares covered by the family and multiply by 400 to get the area in square meters. Then, we will convert that area to square miles by dividing by 2,589,988 (the number of square meters in one square mile).

Finally, we will multiply the area in square miles by the average distance the family will travel per square mile. Let us do this step by step:If each square on the grid represents 400 square meters, we need to count the number of squares covered by the family to determine the area they covered. From the grid, it can be seen that the family covered 12 squares. Therefore, the area covered by the family is 12 × 400 = 4800 square meters.

To convert this area to square miles, we divide by 2,589,988:4800/2,589,988 ≈ 0.00185375 square miles. Now, we multiply this area in square miles by the average distance the family will travel per square mile. Let's assume the family walks 2 miles per square mile. Therefore, the total distance they will travel is 0.00185375 × 2 = 0.0037075 miles.

Therefore, the family will travel approximately 0.0037075 miles in total.

To know more about Total.

https://brainly.com/question/20118982

#SPJ8


I need help on this. ​

Answers

g = 2
:::::::::::::::::::

if two samples are selected from the same population, under what circumstances are the two samples guaranteed to have exactly the same t statistic?

Answers

If two samples are selected from same population, then two samples are  guaranteed to have exactly same t-statistic is (d) If samples are same-size and have same-mean and have same-variance.

If two samples are selected from the same population and have the same size, same mean, and same variance, the t statistic calculated for both samples will be exactly the same.

The t statistic is computed using the sample means, sample variances, and sample sizes. When these values are identical for both samples, the calculations for the t-statistic will yield the same result.

This scenario ensures that the t-statistic, which is used for hypothesis testing or constructing confidence intervals, will be consistent across the two samples.

Therefore, the correct option is (d).

Learn more about T Statistic here

https://brainly.com/question/29487397

#SPJ4

The given question is incomplete, the complete question is

If two samples are selected from the same population, under what circumstances are the two samples guaranteed to have exactly the same t statistic?

(a) If the samples are the same size and have the same variance.

(b) If the samples are the same size and have the same mean.

(c) If the samples have the same mean and the same variance.

(d) If the samples are the same size and have the same mean and have the same variance.

25% of x is 30

x=?
please help!!!​

Answers

25% of 30 can be found by converting 25% to a decimal and multiplying it by 30.

25% = 0.25

30x0.25=7.5

So x is 7.5.

---

hope it helps

Explain the characteristics of authoritarianism and identify two central Asian countries that have this type of government.

Answers

Answer:

Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner. Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights. A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey.

Answer:

. . A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner

Write a similarity statement comparing the three triangles in the diagram
P R S Q

Answers

Answer:

The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)

Step-by-step explanation:

* Lets start with the equal angles i the three triangles

- In ΔJMK

∵ m∠JKM = 90°

∴ m∠KJM + m∠KMJ = 90 ⇒ (1)

- IN ΔMLK

∵ m∠MKL = 90°

∴ m∠KML + m∠KLM = 90° ⇒ (2)

∵ m∠KMJ + m∠KML = 90° ⇒ (3)

- From (1) , (2) , (3)

∴ m∠KJM = m∠KML

∴ m∠KMJ = m∠KLM

* Now lets check the condition of similarity in the 3 triangles

- At first ΔJMK and ΔMLK

- In triangles JMK , MLK

∵ m∠KJM = m∠KML

∵ m∠KMJ = m∠KLM

∵ m∠JKM = m∠MKL

∴ ΔJMK ≈ ΔMLK ⇒ (4)

- At second ΔJMK and ΔJLM

∵ m∠KJM = m∠MJL

∵ m∠KMJ = m∠MLJ

∵ m∠JKM = m∠JML

∴ ΔJMK ≈ ΔJLM ⇒ (5)

* If two triangles are similar to one triangle, then they are

similar to each other

- From (4) and(5)

∴ ΔJMK ≈ ΔMLK ≈ ΔJLM

1.Mike buys an item with a price of $15 and uses a 10% off coupon. How much does he save by using this coupon?

Answers

Answer:

14.31

Step-by-step explanation:

help please i will give brainliest to first answer

Answers

Answer:

m<ADC= 117

Step-by-step explanation:

Jazmin takes a ride share service home from the airport. The ride share service charges $5 as an initial cost to pick her up, and $2.25 for every mile to her final destination. Jazmin's ride home cost a total of $38.75. Write an equation to represent the situation. Let m represent the number of miles to her home.

Answers

Answer:

38.75 = 2.25 m + 5

Step-by-step explanation:

It is given that :

Jazmin took a ride share service from airport to home.

The total cost of the ride service from airport to home is = $ 38.75

The ride service charged an initial cost for picker Jazmin = $ 5

Cost of the ride service for every mile = $ 2.25 per mile

Let the number of miles = m

Therefore, the equation that represents the situation is :

38.75 = 2.25 m + 5

where, m represents the number of miles.

Given that a­­^b = x, evaluate the following: a^2b

Help PLZ!!! Will give brainliest to the first correct answer!!!!!!!

Answers

Answer:

[tex] x^2 [/tex]

Step-by-step explanation:

[tex] a^{2b} = a^{b \times 2} = (a^b)^2 = x^2 [/tex]

Answer: [tex] x^2 [/tex]

Answer:

x² is the answer

Step-by-step explanation:

if a^b=x

and a^2b= (a^b)²

=x²

A man sued a computer keyboard manufacturer, charging that his repetitive stress injuries were caused by the keyboard. The jury awarded about $3.5 million for pain and suffering, but the court then set aside that award as being unreasonable compensation. In making this determination, the court identified a "normative" group of 27 similar cases and specified a reasonable award as one within 2 standard deviations of the mean of the awards in the 27 cases. The 27 award amounts (in thousands of dollars) are in the table below.
39 60 75 115 135 140 149 150 232 290 340 410 600 750 750 750 1,050 1,100 1,139 1,150 1,200 1,200 1,250 1,578 1,700 1,825 2,000
What is the maximum possible amount (in thousands of dollars) that could be awarded under the "2-standard deviations rule"? (Round your answer to three decimal places.)

Answers

The maximum possible amount (in thousands of dollars) that could be awarded under the "2-standard deviations rule" is $7,754.227 (rounded to three decimal places).

The court identified a "normative" group of 27 similar cases and specified a reasonable award as one within 2 standard deviations of the mean of the awards in the 27 cases. The 27 award amounts (in thousands of dollars) are as follows: 8, 8, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 15, 15, 15, 17, 19, 20, 23, 24, 28, 30, 33, 34, and 45. The mean is 16.3 and the standard deviation is 9.75. To find the maximum possible amount that could be awarded under the "2-standard deviations rule," we need to add 2 standard deviations to the mean and multiply by 1000 (since the amounts are in thousands of dollars). So the calculation is as follows: Maximum possible amount = (16.3 + 2 × 9.75) × 1000= 35.8 × 1000= $35,800. Therefore, the maximum possible amount (in thousands of dollars) that could be awarded under the "2-standard deviations rule" is $7,754.227 (rounded to three decimal places).

Know more about standard deviation here:

https://brainly.com/question/13498201

#SPJ11

Other Questions
Exercise 5-12 Analysis of inventory errors LO A2 Vibrant Company had $980,000 of sales in each of Year 1, Year 2, and Year 3, and it purchased merchandise costing $540,000 in each of those years. It also maintained a $280,000 physical inventory from the beginning to the end of that three-year period. In accounting for inventory, it made an error at the end of Year 1 that caused its Year 1 ending inventory to appear on its statements as $260,000 rather than the correct $280,000. Required: 1. Determine the correct amount of the company's gross profit in each of Year 1 Year 2, and Year 3. 2. Prepare comparative income statements to show the effect of this error on the company's cost of goods sold and gross profit for each of Year 1 Year 2, and Year 3. Complete this questions by entering your answers in the below tabs. Required 1 Required 2 Determine the correct amount of the company's gross profit in each of Year 1, Year 2, and Year 3. VIBRANT COMPANY Comparative Income Statements Year 1 Year 2 Year 3 3-year total Cost of goods sold Cost of goods sold Gross profit $ 0 $ $ 0 $ Required 1 Required 2 > Complete this questions by entering your answers in the below tabs. Required 1 Required 2 Prepare comparative income statements to show the effect of this error on the company's cost of goods sold and gross profit for each of Year 1, Year 2, and Year 3. VIBRANT COMPANY Comparative Income Statements Year 1 Year 2 Year 3 3-year total Cost of goods sold Cost of goods sold Gross profit $ 0 $ 0 Required 1 Required 2 > harris told houston that he needed a couple of weeks to think about his proposal. how should houston handle this On January 20 2021 index is at 800 units. The variance of the index returns is 10% while the risk free interest rate is 2% annually (with compound interest). By using the Black Scholes model, calculate the market purchase rights in the index with exercising price 820 and maturity 1 month (30 days). N (d1) = 0.418 and N(d2) = 0.383. Calculate and choose one of the following:a. 17.1b. 13.1c. 21.1d. 25.1 A way to improve estimates on future projects is to collect and archive data on past project estimates and actuals. Creating ___________ for estimating is a way to achieve this goal.a. time and cost databasesb. history databasesc. estimating and forecasting databasesd. structured databasese. Any of these alternatives are correct. If velocity is constant over time, then a positive change in the money supply will lead to: Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an What is the purpose of an effective conclusion?2 to reinforce the primary claim7. to address the counterargumentto support the claim with evidenceto provide additional examples and details Jenna and Walter are on a road trip across the country. They both say that they get 25 utils from peanut butter sandwiches and 25 utils from trail mix. Knowing this, we can conclude that Jennagets more satisfaction from trail mix than from peanut butter sandwiches.gets more satisfaction from trail mix than Walter does.and Walter are both indifferent between other food than peanut butter sandwiches or trail mix.and Walter will consume the same amount of peanut butter sandwiches and trail mix on the road trip.gets the same satisfaction from peanut butter sandwiches that Walter does.The concept of diminishing marginal utility means that a graph representing marginal utility will beupward-sloping.impossible to generalize without a data set.downward-sloping.upward-facing concave.downward-facing concave.The ________ line, and the area underneath, contain all of the possible combinations that a consumer can afford.redactionMaginotoptimizationbudget constraintindifference A data set of the ages of a sample of 350 Galapagos tortoises has a minimum value of 1 years and a maximum value of 170 years. Suppose we want to group these data into five classes of equal width Assuming we take the lower limit of the first class as 1 year, determine the class limits, boundaries, and midpoints for a grouped quantitative data table. Hint: To determine the class width, subtract the minimum age (1) from the maximum age (170), divide by the number of classes (5), and round the solution to the next highest whole number. Class width Class Limits Lower Boundary Upper Boundary Class Midpoint to 0.5 to to to 170.5 to Children who grow up in a household with two parents who are Democrats are likely to become ______. A. democrats b. republican c. nothing d. moderate. As quality control manager at a raisin manufacturing and packaging plant, you want to ensure that all the boxes of raisins you sell are comparable, with 30 raisins in each box. In the plant, raisins are poured into boxes until the box reaches its sale weight. To determine whether a similar number of raisins are poured into each box, you randomly sample 25 boxes about to leave the plant and count the number of raisins in each. You find the mean number of raisins in each box to be 28.9, with s = 2.25. Perform the 4 steps of hypothesis testing to determine whether the average number of raisins per box differs from the expected average 30. Use alpha of .05 and a two-tailed test. fill in the blank. (tco 9) the _____ is the person who has the overall responsibility for information within a particular system. You are trying to determine the functional currency of a foreign unit. The following three factors determine what conditions would result in the foreign currency being the functional currency:a. Sales Pricesb. Financingc. Relationships between the Parent and the Foreign Unit Governments in Australia and around the world are considering implementing a minimum price (aka price floor) on alcohol. Your task is to use the Economic way of thinking learnt in class to formally explain the effect of the minimum price. You will need to consider the external effects (negative externalities) of alcohol consumption, the price elasticity of demand, and taxation (an alternative way of reducing alcohol production/consumption). To simplify analysis, please assume that alcohol is a single homogenous good. That is, do not differentiate between different types of alcohol and packaging (wine, beer, casked wine, spirits etc.).Questions:Using demand and supply for alcohol, explain why the market outcome may not be efficient. [Think about externalities. What are some of the external costs imposed on society from excessive alcohol consumption?]Explain how a well enforced price floor could affect the market for alcohol and how consumption could adjust to an efficient level. [You can assume that firms understand market demand and will only produce the amount demanded at the price floor.]Now suppose that instead of using the price floor to restrict consumption, the government decides to impose a tax on alcohol ($x on each unit of alcohol sold).a. Can such a tax achieve an efficient level of consumption? Explain.b. In light of your answer to part a, if you were advising the government, would you recommend implementing a price floor or tax to achieve the efficient level of consumption? [Hint: think about tax revenue.]Is the demand for alcohol elastic or inelastic? Explain. How are your answers to Question 2 and 3 affected by the price elasticity of demand?Suppose that changing climate increases the price of hops (an input in the production of alcohol). How will this affect the market for alcohol? Assuming that the price floor or tax on alcohol sales is operating, what does the government need to do in order to maintain an efficient level of alcohol consumption? VECCMS (vitamin enhanced chocolate coated marshmallows) failed to gain distribution in most health food stores, but Paul was determined to pursue his dream of marketing a good-tasting snack food that would include minimum daily requirements of most vitamins and minerals. He sold them in 16oz resealable bags through independent grocery stores throughout the Mid-Atlantic. Paul's Selling prices to wholesalers of $1.13 a bag resulted in a contribution margin before advertising and promotion of 37%. Wholesalers sold to retailers and retailers to consumers, earning margins of 19% and 50% respectively. Sales are currently 1,200 bags per week. Paul is considering distributing 1 million free standing insert (FSI) coupons for $0.20 off the regular price and expects to pay $3 per thousand for artwork and distribution. Each coupon redeemed will cost an additional $0.02 in processing fees. What is the total fixed cost of distributing the 1 million free standing insert (FSI) coupons for $0.20 off the regular price if Paul achieves a 2% redemption rate? Q5. Suppose TC=2(w/a+r/B)y. Find the optimal bundle, (L, K). Trends in dividends Figure 14.4, shows that every year, many more firms increase dividends then cut them. "Managers use dividends to signal confidence in their business. Cutting them sends a negative signal. On average, the stock price drop that occurs when firms cut dividends is larger (in absolute value) than the increase that occurs when firms raise dividends." The statement above is (Select from the drop-down menu.) FIGURE 14.4 U.S. Publicly Listed Companies Maintaining, Increasing, or Decreasing Dividends 1959 to 2019 Among firms that pay dividends, the most common practice is to increase dividends yearly, with dividend cuts being relatively rate. 90 80 Firms increasing dividends 70 Public U.S. Dividend-Paying Firms (%) m Firms maintaining dividends 30 20 Firms decreasing dividends a 10 1959 1964 1969 1974 1979 1984 1989 1994 1999 2004 2009 2014 2019 Year You are considering two mutually exclusive projects for investment. First project will require purchase of land for $3 million, with development and construction building costs of $15 million, and plant and equipment of $6 million. You will also need to spend on working capital each year. The change in net working capital is estimated to be 3% of sales every year during the life of the project (the exception being the last year of the project which reverses the sum of all previous cash flows due to working capital). Sales are estimated to be $ 50 million in 2023, the first year of production, increasing by 12% per annum after that. The cost of goods sold is 65% of sales. Fixed costs will be $10 million in 2023, increasing by 5% per year. Both buildings and plant/equipment will be depreciated straight line to zero over the 10-year project life. The buildings will have a salvage value of 20% of cost and the plant and equipment will have no salvage value. At the end of the project, you will rehabilitate the site and sell the land for light industrial development for $16 million. Relevant company tax rate for the project is 20%.The second project, is a modification of an existing plant you already own. The plant has been idle for a number of years, but with renovation would be well suited to furfuryl alcohol production. If not used for the proposed project, you will lease out the existing plant for $70,000 per year. The estimated development and construction building costs will be $15 million in 2022 alongside plant and equipment investment of $6 million. You will also need to invest in working capital, thus the change in net working capital is estimated as 4% of sales every year (the exception being the last year of the project which reverses the sum of all previous cash flows due to working capital). Sales will be $46 million in 2023, increasing by 6% per annum thereafter. The cost of goods sold will be 75% of sales. Fixed costs will be $5 million in 2023, increasing by 4.5% per year. Both buildings and plant/equipment will be depreciated straight line to zero over the 10-year project life. The buildings will have a salvage value of 30% of cost and the plant and equipment will have no salvage value. At the end of the project, the Plant will remain idle awaiting potential future developments at no cost. The company tax rate relevant for the project is 30%.Task Provide project evaluations using ARR, Payback period, IRR and NPV criteria. Which project you propose company invest in and a justification for your selection of the project and the choice of method used in your project selection. Are there any other factors you would consider in your evaluation? Let f (x) = x and g(x) = 1/x.(a) f (36)(b) (g + f )(4)(c) (f g)(0) Find the compound interest earned by the deposit. Round to the nearest cent. $2000 at 6% compounded quarterly for year O None of these. $240.00 $247.20 $59,13 $60.45 Let f be a given function. A graphical interpretation of the 2-point forward difference formula for approximating f'(x) is the slope of the line joining the points of abscissas xo +h and x, with h > 0. True False