Suppose Ari loses 31 % of all ping dash pong games . (a) What is the probability that Ari loses two ping dash pong games in a row? (b) What is the probability that Ari loses six ping dash pong games in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Ari loses six ping dash pong games in a row, but does not lose seven in a row.
(a) The probability that Ari loses two ping dash pong games in a row is . 0961 . (Round to four decimal places as needed.) (.31)^2
(b) The probability that Ari loses six ping dash pong games in a row is . 0009 . (Round to four decimal places as needed.) (.31)^6
(c) The probability that Ari loses six ping dash pong games in a row, but does not lose seven in a row is nothing . (Round to four decimal places as needed.)
In: Statistics and Probability
5. Costs in the short run versus in the long run Ike’s Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory. However, it is considering expanding production to two or even three factories. The following table shows the company’s short-run average total cost (SRATC) each month for various levels of production if it uses one, two, or three factories. (Note: Q equals the total quantity of bikes produced by all factories.) Number of Factories Average Total Cost (Dollars per bike) Q = 50 Q = 100 Q = 150 Q = 200 Q = 250 Q = 300 1 180 100 80 120 200 360 2 270 150 80 80 150 270 3 360 200 120 80 100 180 Suppose Ike’s Bikes is currently producing 50 bikes per month in its only factory. Its short-run average total cost is $ per bike. Suppose Ike’s Bikes is expecting to produce 50 bikes per month for several years. In this case, in the long run, it would choose to produce bikes using . On the following graph, plot the three SRATC curves for Ike’s Bikes from the previous table. Specifically, use the green points (triangle symbol) to plot its SRATC curve if it operates one factory ( SRATC1 ); use the purple points (diamond symbol) to plot its SRATC curve if it operates two factories ( SRATC2 ); and use the orange points (square symbol) to plot its SRATC curve if it operates three factories ( SRATC3 ). Finally, plot the long-run average total cost (LRATC) curve for Ike’s Bikes using the blue points (circle symbol). Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. SRATC 1 SRATC 2 SRATC 3 LRATC 0 50 100 150 200 250 300 350 400 360 320 280 240 200 160 120 80 40 0 AVERAGE TOTAL COST (Dollars per bike) QUANTITY OF OUTPUT (Bikes) In the following table, indicate whether the long-run average cost curve exhibits economies of scale, constant returns to scale, or diseconomies of scale for each range of bike production. Range Economies of Scale Constant Returns to Scale Diseconomies of Scale Between 150 and 200 bikes per month Fewer than 150 bikes per month More than 200 bikes per month Grade It Now Save & Continue Continue without saving
In: Economics
Nu-Tek Inc. recently announced that it will pay its first annual dividend in one year in the amount of $0.50 a share. The dividend will be increased by 50% annually for the following two years, after which time the increase will be limited to 2.5% annually. How much are you willing to pay for one share of this stock today if you require a 14% rate of return?
In: Finance
Write it in C++
The most disgusting recursive problem ever. The McDonald’s near campus sells Chicken McNuggets in orders of 6, 9, or 20. Suppose you are ordering for a party and you know exactly how many McNuggets will be eaten by guests. It turns out that, for any integer n ≥ 44, you can order exactly n Chicken McNuggets at this McDonald’s. For purposes of this problem, you cannot throw out McNuggets or allow them to go uneaten, such as by acquiring n = 44 by buying two twenty packs and a six pack, then discarding two. If the thought of this many Chicken McNuggets is too disgusting, you may pretend you are buying n ≥ 44 celery sticks in bunches of 6, 9, or 20 (feel free to rename the function below in that case). Finish the recursive function below to complete the ordering and return the counts by reference parameters. You may assume for this problem that there will be no overflow or underflow at any point in the problem and that stack space is not a concern. The code has been started for you and is part of a correct solution.
void buyChicken ( unsi gned n , un si gned & num6Packs , un si gned & num9Packs , un signed & num20Packs ) { i f ( 44 == n ) { num20Packs = 1 ; num6Packs = 4 ; num9Packs = 0 ; }
e l s e i f ( 4 5 == n ) { num20Packs = 0 ; num6Packs = 3 ; num9Packs = 3 ; } e l s e i f ( 4 6 == n ) { num20Packs = 2 ; num6Packs = 1 ; num9Packs = 0 ; }
In: Computer Science
1. In the U.S., what percentage of the energy used to generate
electricity is lost to conversion efficiencies?
i. 20%
ii. 30%
iii. 40%
iv. 50%
v. 60%
2. What is wind turbine coefficient of performance?
i. The ratio of tip speed to incoming wind speed
ii. The ratio of AC to DC turbine power
iii. The ratio of power extracted by the turbine to the rated
turbine power
iv. The ratio of the power extracted by the turbine to the power in
the wind
3. What is the maximum wind turbine power that can be harvested
using a wind turbine with a turbine radius = 0.2 m and wind speed =
3 m/s, air density = 1.23 kg/m3?
i. 0.23 W
ii. 0.41 W
iii. 0.70 W
iv. 0.82 W
v. 1.23 W
In: Mechanical Engineering
Marian Kirk wishes to select the better of two 7 -year annuities. Annuity 1 is an ordinary annuity of $2 comma 890 per year for 7 years. Annuity 2 is an annuity due of $2 comma 670 per year for 7 years. a. Find the future value of both annuities at the end of year 7 , assuming that Marian can earn (1) 8 % annual interest and (2) 16 % annual interest. b. Use your findings in part a to indicate which annuity has the greater future value at the end of year 7 for both the (1) 8 % and (2) 16 % interest rates.. c. Find the present value of both annuities, assuming that Marian can earn (1) 8 % annual interest and (2) 16 % annual interest. d. Use your findings in part c to indicate which annuity has the greater present value for both the (1) 8 % and (2) 16 % interest rates. e. Briefly compare, contrast, and explain any differences between your findings using the 8 % and 16 % interest rates in parts b and d.
In: Finance
The Heat Capacity of Metals
Data Calorimeter Constant Determination:
Mass of cups and cool water(g) 27.15
Mass of cups and cool water(g) 56.12
Mass of cups, cool water, and hot water(g) 93.62
Initial temperature of cool water and calorimeter (c) 21.9
Initial temperature of hot water (c) 94.0
Final temperature of hot water, cool water, and calorimeter (c) 53.0
Calculate the calorimeter constant from your data.
1. How much heat (in Joules) is required to raise the temperature of 50 grams of water from 14c to 89c?
2. If 25.0g of cool water at 23.0c is mixed with 25.0g of hot water to give a final temperature of 34.6c, what was the initial temperature of the hot water? Assume no heat is lost to the calorimeter.
3. Give at least one probable cause for the heat loss caused by the calorimeter itself (c). Suggest a method to prevent or reduce this heat loss.
4. List at least two possible sources of error in this determination of the molar mass of an unknown metal.
5. Explain in terms of thermochemistry why hot water is so much more likely to cause a burn than a metal at the same temperature.
In: Chemistry
Calculate the pH and pOH of each of the following solutions.
- Express your answer to two decimal places. Enter your answers numerically separated by a comma.
-A) [H3O+]= 1.6×10−8 M
-B) [H3O+]= 1.0×10−7 M
-C) [H3O+]= 2.5×10−6 M
In: Chemistry
Convert to standard maximum form and apply two iterations of simplex process using slack form.
Maximize
2x1 -6x3
Subject to
x1 + x2 – x3 <= 7
3x1 – x2 >= 8
-x1 + 2x2 + 2x3 >= -2
x2, x3 >=0
Please write the answer very clearly.
In: Advanced Math
Vitalife Pty Ltd is considering buying a new vitamin C extraction machine. The machine is estimated to cost $140,000 which can last for 7 years before it becomes too costly to maintain and can be sold for scrap at $20,000. The project is estimated to bring in additional $27,000 cash inflow and incur $12,000 in additional expenses related to the running the machine in the first year. The company expects there will be an annual sales growth of 6% from year 2 onward. Expenses are also expected to grow by 3% annually from the second year of the operation.
The company plans to fund the purchase of the new machine using a bank loan with an interest rate of 11%.
required rate of return is 11%
In: Finance