The next two questions refer to the following physical situation:

Two blocks (masses m₁ = 30 kg and m₂ = 7 kg) sit atop one another as shown below. The coefficient of static friction between the blocks is μ_s= 0.32.  There is no friction between the lower block and the surface on which it rests. A constant external force F is applied to the lower block.

What is F_max, the maximum magnitude of this force such that the upper block does not slide with respect to the lower block?

If there is kinetic friction between the lower block and the surface, the magnitude of the maximum possible force F_max that can be exerted on the lower block before the upper block starts sliding with respect to the lower block...

A precocious child wants to determine the moment of inertia, I_o, of the local merry-go-round. The child measures the radius of the merry-go-round (R = 2 m), then weighs herself (m = 25 kg), then notices that when she moves from the center of the merry-go-round to the rim, the rotational velocity of the merry-go-round changes from 0.3 rev/sec to 0.2 rev/sec. If the child treats herself as a point mass, what moment of inertia does she estimate for the merry-go-round?

As the child moves from the center of the merry-go-round to the rim, the kinetic energy of the child plus the merry-go-round...

The table below shows the price per portion and the calories per portion for several different snack foods (source: USDA.gov).

a. Identify the scatter plot for the data.

Select your answer from one of the following options.

• a.Graph A
• b.Graph B
• c.Graph C

b. Use the Google Sheets command =CORREL to find the correlation coefficient r. Round your answer to 3 decimal places.

c. Use the commands =SLOPE and =INTERCEPT to find the line of best fit. Select the equation of the line of best fit from the choices below:Select your answer from one of the following options.

• a.y = 0.0015x + 0.0435
• b.y = 182.6x + 0.33
• c.y = 331.5x + 74.7
• d.y = 0.33x + 182.6
• e.y = 74.7 + 331.5x

d. Use the regression equation to predict the calories per portion for a snack that costs 0.24 per portion. Round your answer to the nearest whole number.

e. Chocolate Candy costs 0.24 per portion and has 262 calories. Using your answer to part c., calculate the residual for chocolate candy.

Aiolos plc. is a small firm that produces and sells industrial machinery. The
following figures of the company are from the most recent financial period:
 Sales €20,000,000
 Earnings before interest and taxes €2,000,000
 Debt €10,000,000
 Interest expenses before tax €1,000,000
 Capital Expenditures €1,000,000
 Depreciation expenses are 50% of capital expenditures
 Book value of equity € 10,000,000
Also, you have collected financial information concerning the industrial
machinery sector of listed companies (all figures are on an average basis):
 Beta coefficient of listed companies of the sector 1.30
 Financial leverage in terms of debt to market value of equity 20%
 Firms in the sector trade three times (3x) their book value of equity.
 Effective tax rate 20% tax rate.
The management of Aiolos plc. expects that the company will experience a twostage
growth pattern. Specifically, during the first period which will last for the
next 5 years, net income, capital expenditures and depreciation will have a 25%
growth rate per annum, whereas during the second period (i.e. steady state),
net income will have a 7% growth rate to infinity and capital expenditures and
depreciation will offset each other.
Working capital requirements are estimated to remain stable during both growth
periods, while the proportion of net capital expenditure changes with debt will
remain to 0.3 for the next five years. The yield-to-maturity of the 10 year
government bond is 3%, while the market risk premium is 5%.

Required:

aEstimate the cost of equity for this Aiolos plc
b. Estimate the value of the owner's stake in Aiolos plc., using the free cash
flow to equity approach.
c. Identify and briefly describe any qualitative aspects of growth.

i need the estimation value of AIOLOS using the FCFE method and the c) question as well

Beer and Blood Alcohol Content

The relationship between number of beers consumed (x) and blood alcohol content ( y) was studied in 25 male college students by using simple linear regression. The estimated blood alcohol content ( ŷ ) is given in the following regression equation:

ŷ = -0.0127 + 0.0180x

Suppose that the legal blood alcohol content limit for driving is 0.05. If John consumed 4 beers the model would predict that he would be:

Select one:

a. 0.0027 above the legal limit

b. 0.0347 above the legal limit

c. 0.0093 above the legal limit

d. 0.022 above the legal limit

e. 0.0027 below the legal limit

5.  

A multiple choice test has 12 questions. Each question has 4 choices of which exactly one is correct. If a student makes random guesses for all 12 questions, what is the probability that the student will get exactly 5 questions correct?

Select one:

a. The answer cannot be determined from the given information.

b. 0.2270

c. 0.0584

d. 0.1032

e. 0.0532

6.

A medical doctor knows from past experience that 80% of his patients have private health insurance and 20% do not have private insurance. He also notices that among those who have private health insurance, 65% are over the age of 50 while among those who do not have private health insurance, only 30% are over the age of 50. What is the probability that a randomly selected patient is over 50 years of age and has private health insurance?

Select one:

a. 0.65

b. 0.3

c. 0.52

d. 0.16

e. The answer cannot be determined from the given information.

please provides this question answer quickly. i need it urgently.

I'm struggling with writing null and alternative hypothesis for two populations. Can anyone please explain HOW TO write the correct Ho and Ha for the following questions? Thanks.

Examples:

1) Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys 50 entry level mechanical engineers and 60 entry level electrical engineers. Their mean salaries were $46,100 and $46,700, respectively. Their standard deviations were $3,450 and $4,210, respectively. Conduct a hypothesis test to determine if you agree that the mean entry-level mechanical engineering salary is lower than the mean entry-level electrical engineering salary.

2) A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation of 14 pounds.

3) A study is done to determine if students in the California state university system take longer to graduate, on average, than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5811 years and 1 year, respectively. The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.3.

WRITE A MINI REPORT (3 PARAGRAPHS) DESCRIBING A DATA ANALYSIS OF YOUR CHOICE AND YOUR CONCLUSIONS TO ANSWER THE RESEARCH QUESTIONS LISTED BELOW USING THE DATA (given in SAS format) BELOW.

A producer of medical masks is doing an experiment to investigate the effect that the material of the mask and the thickness of the mask have on protection against the SARS virus (as measured by percent of 0.3-micron particles blocked; a higher percentage is better). The three material types examined are cotton, polyester, and polypropylene. The three thickness levels examined are 0.25 mm, 0.40 mm, and 0.55 mm. The researcher also wants to know whether the material type and the thickness interact significantly. If the factor(s) significantly affect protection, then we want to know which levels of the factors differ significantly (or which factor level combinations, if there is significant interaction). Write a mini-report (about 3 paragraphs) describing a data analysis of your choice and your conclusions to answer the producer’s research questions. Thank you!

DATA prob1;
INPUT material $ thickness protection;
cards;
cotton 0.25 34
cotton 0.25 42
cotton 0.25 37
cotton 0.4 44
cotton 0.4 43 
cotton 0.4 51
cotton 0.55 56
cotton 0.55 52 
cotton 0.55 50
polyest 0.25 65
polyest 0.25 61 
polyest 0.25 68
polyest 0.4 72
polyest 0.4 67
polyest 0.4 74
polyest 0.55 81
polyest 0.55 77
polyest 0.55 76
polyprop 0.25 63
polyprop 0.25 67
polyprop 0.25 73
polyprop 0.4 68
polyprop 0.4 74
polyprop 0.4 73
polyprop 0.55 78
polyprop 0.55 85
polyprop 0.55 81
;
run;

1. The ________________________ of two events A and B is the event that consists of all the elements contained in A and B.
2. If A and B are mutually exclusive then A∩B = _________ and P(A∩B) = ________.
3. If A and B are independent, P(A∩B) = ____________________ (finish the formula).

4.  The law of large numbers says that if an experiment is repeated again and again, the         relative frequency probability will get closer to the _____________________________

5.  If the P(A\B) = 0.6 and P(A∩B) = 0.3, find P(B).

6.  If you roll a single fair die and count the number of dots on top, what is the probability of getting a number of at most 3 on a single throw?

7.  You roll two fair dice, a blue one and a yellow one. Each part has single probability.

1. Find P(odd number on the blue die and even on the yellow die).

     b)  Find P(even on the blue die and greater than 1 on the yellow die).

8.  An urn contains 12 balls identical in every respect except color.  There are 6 red balls, 4 green balls, and 2 blue balls. Each part has single probability.

     a)  You draw two balls from the urn, but replace the first ball before drawing the second.  Find the probability that the first ball is red and the second is green.

     b)  Repeat part (a), but do not replace the first ball before drawing the second.

9.  A computer package sale comes with four different choices of printers and five choices of monitors.  If a store wants to display each package combination that is for sale, how many packages must be displayed?   

10.  You have 100 parts in a box and 25 of them are bad.  What is the probability that:

            a)         the first part you draw will be bad?

            b)         the first part will be good?

            c)         if you draw two parts, both will be good?

2) When the real wage is above the level that equilibrates supply and demand:

Select one:

a. It creates a deadweight loss in the labor market.

b. the quantity of labor demanded exceeds the quantity supplied.

c. GDP definitely rises.

d. Interest rate rises.

3) If Central Bank A cares only about keeping the price level stable and Central Bank B cares only about keeping output at its natural level, then in response to an exogenous increase in the price of oil:

Select one:

a. both Central Bank A and Central Bank B should increase the quantity of money.

b. Central Bank A should increase the quantity of money, whereas Central Bank B should keep it stable.

c. Central Bank A should decrease the quantity of money, whereas Central Bank B should increase it.

d. both Central Bank A and Central Bank B should keep the quantity of money stable.

4) In a Keynesian Cross economy without the foreign sector, the marginal propensity to save is 0.2. Investment is 100; government expenditure is also 100. Taxes are 100. How much does total savings change if marginal propensity to save goes up from 0.2 to 0.3?

a. goes up by 90

b. goes up by 100

c. does not change

d. None of the above or cannot be determined without more information

5) Using the simple Keynesian Cross analysis, assume that the consumption function is given by C = 100 + 0.6(Y-T). If planned investment is 200 and T is 300, the level of G needed to make equilibrium Y equal 1,000 is (assume that net exports are zero):

Select one:

a. 60

b. 240

c. 250

d. 280

e. None of the above.

In 2018 in an attempt to improve the reputation of the Democratic People’s Republic of Korea (DPRK) lottery tickets were sold to people around the world. The grand prize of this lottery was a weekend with Kim Jung Un. During anevening with Kim Jung Un the lottery winner was offered a meal made from one of the lobsters in Kim Jung Un’s private lobster aquarium.(Which by the way are all Maine lobsters!) The average weight of the lobsters was 22 ounces and the standard deviation was 0.67 ounces. When a random lobster wastaken from Kim Jung Un’s aquarium what was the probability it weighed more than 23.75 ounces?
a.) 0.0154 b.) 0.9955 c.) 0.9846 d.) 0.0045 e.)None of these

In lieu of using a single resistor three resistors are wired in series. The three resistors are identical. The resistance o f each is normally distributed with a mean of 6 ohms and a standard deviation of 0.3 ohms. The probability the combined resistance will exceed 19 ohm's is 0.0274. How precise (i.e. what is the required value of the standard deviation) would the manufacturing process have to be make the probability less than 0.0055 that t he combined resistance of the circuit would exceed 19 ohms?
a.) 0.180 ohms b.) 0.220 ohms c.) 0.227 ohms d.) 0.229 ohms e.) None of these

An experiment has two possible outcomes: the first occurs with probability p ; the second with probability p^2 . What is p?
a.) 0.3820 b.) 0.5000    c.) 0.2500     d.)   0.6180 e.) None of the above

Of all 3–to–5year old children, 56% are enrolled in school. If a sample of 500 such children is randomly selected, find the probability that at least 250 will be enrolled in school.Hint: Use De Moivre–Laplace.
a.) 0.9970 b.) 0.0035 c.) 0.9965 d.) 0.0030 e.) None of the above