A coin is moving in a horizontal circle in a cone. The cone has height 70 cm and radius 20 cm. The coin is at a height halfway up. The coefficient of static friction is 0.3. The mass of the coin is 5 g. How fast is the coin moving to stay at this height?If the velocity is halved what will the height of the coin be now?
In: Physics
Use Excel/Megastat to find the discrete probability and cumulative probability of the Binomial distribution with probability of success p = 0.3 and n = 70.
Find its mean and variance.
Based upon the chart on Excel, what can you conclude about the binomial convergence?
Use binom.dist function on Excel and sketch the curve.
In: Math
Two chemical factories are discharging toxic waste into a large lake, and the pollution level at a point ? miles from factory A toward factory B is ?(?) = 3?2 − 72? + 576 parts per million for 0 ≤ ? ≤ 50. Find where the pollution is the least
In: Math
(a) Can income share of the capitalist class decline when wealth-income ratio is increasing? Explain. (b) According to Miles Corak (from the Marc Sumerlin lecture series), what should not be the focus of a policy-maker to increase intergenerational mobility? Explain.
In: Economics
A train accelerates at 1.41 m/s2 from rest to a steady speed in 68.48seconds. It maintains that speed for 29.55 miles and then starts slowing down at 1.39 m/s2 until coming to a stop at its destination. What is the total distance traveled in meters?
In: Physics
In: Math
A corporate fleet of 30 automobiles costs $900,000. After five years each automobile can be salvaged for $10,000 each. Each car will be used for 12,000 miles per year. With a MARR of 14%, what is the equivalent annual cost per mile?
In: Accounting
Rob Roy is toying with the idea of buying a used car every three years instead of leasing or buying a new one. Assuming he can find a one-owner with low miles in good condition, what advantages might he enjoy?
In: Finance
Hybrid cars are touted as a "green" alternative; however, the financial aspects of hybrid ownership are not as clear. Consider the 2018 Edsel 550h, which had a list price of $5,400 (including tax consequences) more than the comparable Edsel 550. Additionally, the annual ownership costs (other than fuel) for the hybrid were expected to be $460 more than the traditional sedan. The EPA mileage estimate was 25 mpg for the hybrid and 17 mpg for the traditional sedan.
| a. |
Assume that gasoline costs $3.75 per gallon and you plan to keep either car for six years. How many miles per year would you need to drive to make the decision to buy the hybrid worthwhile, ignoring the time value of money? (Do not round intermediate calculations and round your answer to nearest whole number, e.g., 32.) |
| b. | If you drive 17,000 miles per year and keep either car for six years, what price per gallon would make the decision to buy the hybrid worthwhile, ignoring the time value of money? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
| c. | Gasoline costs $3.75 per gallon and you plan to keep either car for six years. How many miles per year would you need to drive to make the decision to buy the hybrid worthwhile? Assume the appropriate interest rate is 10 percent and all cash flows occur at the end of the year. (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) |
| d. | If you drive 17,000 miles per year and keep either car for six years, what price per gallon would make the decision to buy the hybrid worthwhile? Assume the appropriate interest rate is 10 percent and all cash flows occur at the end of the year. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
In: Accounting
1. A trainer is studying the effects of vitamin D on his athletes. He has realized that there are many potential confounding factors, such as gender and age. To limit the effect of these confounding variables, he decided to first group two athletes together based on these variables (for example, two 21-year-old males). Then he randomly assigned one person to receive the vitamin D and the other to receive a sugar pill.
What type of experimental design does this situation demonstrate?
Matched-Pair Design
Randomized Block Design
Completely Randomized Design
Simple Random Design
2. Jay wants to study nutrition and performance in schools using available data.
Which of the scenarios below will provide Jay with available data?
Going to a local high school and asking the principal for information about students' previous grades, then interviewing a random selection of students about their eating habits.
Going to a local high school and asking the principal for information about students' current and previous grades, then asking the health teacher for the results from a survey students took in health class.
Going to a local high school and asking the principal for information about students' current and previous grades, then interviewing a random selection of students about their eating habits.
Going to a local college and asking current undergraduates to report their grades and eating habits from high school.
3. Dave drives to work. While driving the car over nine days, he observes his daily average speed and lists it in the table below.
| Day | Average Speed (MPH) |
|---|---|
| 1 | 45 |
| 2 | 62 |
| 3 | 44 |
| 4 | 70 |
| 5 | 59 |
| 6 | 66 |
| 7 | 54 |
| 8 | 63 |
| 9 | 67 |
The median speed at which Dave drove to work was __________.
59 miles per hour
63 miles per hour
58.89 miles per hour
62 miles per hour
In: Statistics and Probability