A stockbroker tracks the progress of the price of a stock for several months. From the table of values, determine an equation that model's the stocks growth, and determine the price; to the nearest penny, of the stock after 9 months. Month (1) Stock Price P(1) 0 $26.00 1 $28.08 2 $30.33 3 $32.75 4 $35.37 5 $38.20
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- - The management has decided to hire a new marketing director. Based on the table given and the prices staying the same, the volume of sales and the revenue show a decreasing trend. -The interview process requires the candidate to design a plan that will increase the revenue for the following year during the first 3 months. Each monthly revenue should increase by $1,000. The price for each type of fruit should not be increased by more than one dollar. One candidate offers the option to increase the sales amounts in hundreds to the values below. Is this an acceptable opyion? Will the candidate get the job? Sales in Hundreds April May June Stawberries 9 8 6 Apples 10 9 8 Pineapples 6 9 5 Monthly revenue in hundredsBallistics Ballistics experts are able to identify theweapon that fired a certain bullet by studying the markings on the bullet after it is fired. They test the rifling(the grooves in the bullet as it travels down the barrelof the gun) by comparing it to that of a second bulletfired into a bale of paper. The speed, s, in centimeters per second, that the bullet travels through the paper isgiven by s = 3013 - 10t2 3, where t is the time afterthe bullet strikes the bale and t … 0.3 second.a. Complete the following table to find the speed forgiven values of t. b. Use the root method to find the number of secondsto give s = 0. Does this agree with the data in thetable?Using the equation from line of best fit estimate the youngest age to be to have a 4.0 Line of best fit equation Y= 0.019084x+3.97814
- If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess of the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 3500 extra calories will translate into a weight gain of 1 pound. Therefore, we expect each of these subjects to gain 56,000/3500 = 16 pounds (lb). Here are the weights before and after the 8-week period, expressed in kilograms (kg). Subject 1 2 3 4 5 6 7 8 Weight before 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 Weight after 61.7 58.7 66.0 66.2 79.1 82.2 74.2 59.3 Subject 9 10 11 12 13 14 15 16 Weight before 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8 Weight after 79.1 66.1 73.5 76.8 93.0 63.0 68.1 60.2 Find the mean (x bar) and the…If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess of the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 3500 extra calories will translate into a weight gain of 1 pound. Therefore, we expect each of these subjects to gain 56,000/3500 = 16 pounds (lb). Here are the weights before and after the 8-week period, expressed in kilograms (kg). Subject 1 2 3 4 5 6 7 8 Weight before 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 Weight after 61.7 58.7 66.0 66.2 79.1 82.2 74.2 59.3 Subject 9 10 11 12 13 14 15 16 Weight before 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8 Weight after 79.1 66.1 73.5 76.8 93.0 63.0 68.1 60.2 Report the 95% confidence…Exercises: 1. Evapotranspiration rate is an imporant ecological and climatological variable. It describes how fast water is being evaporated from Earth’s surface and transpired by vegetation. Thus it describes the rate at which moisture is supplied to the atmosphere from the land. The evapotranspiration rate (or ET for short) usually cannot be estimated directly, and instead is calculated from the difference between the rates of rainfall (or P for short) and runoff (or R for short). (Note: the expression below assumes that recharge and discharge to groundwater are in balance, so that there are no changes in storage.) ET = P – R At the Birkenes watershed in southern Norway, 16 years of monitoring data indicate that annual rainfall is 1483±265 mm/yr (mean±standard deviation) and annual runoff is 1170±306 mm/yr (mean±standard deviation) (a) If this was all you knew (i.e., if you knew nothing about whether the rainfall and runoff were correlated positively or negatively, and so assumed…
- referring to the image please help me find the correct terms for each 1 .variable a.)The average length of time (in months) AIDS patients live after treatment. b.)The 40 AIDS patients in the study. c.) The average length of time (in months) AIDS patients live after treatment in the sample d.) AIDS patients e.) X=the length of time (in months) AIDS patients live after treatment. 2.Parameter a.)The average length of time (in months) AIDS patients live after treatment. b.)The 40 AIDS patients in the study. c.) The average length of time (in months) AIDS patients live after treatment in the sample d.) AIDS patients e.) X=the length of time (in months) AIDS patients live after treatment. 3.Statistic a.)The average length of time (in months) AIDS patients live after treatment. b.)The 40 AIDS patients in the study. c.) The average length of time (in months) AIDS patients live after treatment in the sample d.) AIDS patients e.) X=the length of time (in months) AIDS patients live after…A college bookstore must order books two months before each semester starts. They believe that the number of books that will ultimately be sold for any particular course is related to the number of students registered for the course when the books are ordered. They would like to develop a bestfitting line to predict how many books to order. From past records, the bookstore obtains the number of students registered, X, and the number of books actually sold for a course, Y , for 12 different semesters.A scatterplot of the data along with the best fitting line is presented below. a. The correlation between the two variables is r = .89. Calculate and interpret the value of r2.b. The equation for the best fitting line is Y = 9.30 + 0.673X. Explain and interpret the value of 9.30.c. How many books should the store order for a class of 50 students? Would you trust this prediction?A car dealership wants to try out a new leasing arrangement, which will allow a buyer to trade a car back to the dealership for a certain amount of credit at any time throughout the first five years of ownership. For a car in good condition, the arrangement will value the car at 1515 the original price at the end of five years, and will depreciate the value of the car linearly over the course of the five years. What is the value of a car with initial purchase price P at the end of the first year? Write your answer as an expression in terms of P. Write the exact answer. Do not round.
- The success of a project depends on the effort level of a worker. In case of successthe revenues will be 400,000 TL whereas in case of no-success the revenues will be 0. The workercan provide a low effort level or a high effort level. The effort level cannot be observed by theprincipal. The worker requires an expected salary of 60,000 TL to provide the low effort leveland an expected salary of 80,000 TL to provide the high effort level. The success probabilitiesfor the project are 40% in case of low effort level and 80% in case of high effort level. Whatshould be the minimum bonus (that is awarded in addition to the base salary in case of success)and the base salary for the worker so that the worker has the incentives to provide the higheffort level?The price of a one-way Amtrak train ticket between Washington and Boston was $64.00 in 2004. In 2020, that same ticket costs $129.00. A Greyhound Bus ticket between the same two cities cost $28.00 in 2004 and $45.00 in 2020. 2004 A 2020 B Amtrak $64.00 $129.00 Grey Hound $22.00 $45.00 Which ticket has increased more in relative terms (%)? Show your calculations to back up your answer. Adjusting for inflation, what is the percentage increase in the cost of the Amtrak ticket between 2004 and 2020?Visualize that two tributaries A and B at their confluence form a river C. Statistical properties of flow data for tributaries A and B indicate that tributary A has a yearly discharge rate smaller than its mean flow rate (?̅?) in 50% of the years while tributary B has a yearly discharge rate smaller than its mean flow rate (?̅?) in 60% of the time. In 70% of the years in which tributary A has a discharge rate smaller than its mean discharge rate (?̅?), tributary B also has a discharge rate smaller than its mean discharge rate (?̅?). Compute the probability that (i) both tributaries have a discharge rate smaller than their mean discharge rates, (ii) at least one tributary has a discharge rate smaller than its mean discharge rate, (iii) tributary A has a discharge rate smaller than its mean discharge rate given that tributary B has a discharge rate smaller than its mean discharge rate, (iv) at least one tributary has discharge rate higher than its mean discharge rate, and (v) probability…
