In: Chemistry
14. If the cylinder of largest possible volume is inscribed in a given sphere, determine the ratio of the volume of the sphere to that of the cylinder.
15. Determine the first quadrant point on the curve y2x = 18 which is closest to the point (2, 0).
16. Two cars are traveling along perpendicular roads, car A at 40 mph, car B at 60 mph. At noon when car A reaches the intersection, car B is 90 miles away, and moving toward it. At 1PM, what is the rate, in miles per hour, at which the distance between the cars is changing?
In: Math
Twice last? month, Judy Carter rented a car in? Fresno, California, and traveled around the Southwest on business. The car rental agency rents its cars for a daily? fee, plus an additional charge per mile driven. Judy recalls that her first trip lasted 4? days, she drove 360 ?miles, and the rental cost her ?$226.00 On her second business trip she drove 190 miles in 3? days, and paid ?$149.50 for the rental. Find the daily fee and the mileage charge.
In: Math
The Highway Safety Department wants to study the driving habits of individuals. A sample of 33 cars traveling on a particular stretch of highway revealed an average speed of 68.2 miles per hour with a standard deviation of 9.2 miles per hour. Round to 4 decimal places.
2. What sample size is needed to estimate the true average speed to within 2.5 mph at 95% confidence? Note: For consistency's sake, round your t* value to 3 decimal places before calculating the necessary sample size.
Choose n =
In: Statistics and Probability
Q. Mr. Miles is a first time investor and wants to build a portfolio using only U.S. T-bills and an index fund that closely tracks the S&P 500 Index. The T-bills have a return of 5%. The S&P 500 has a standard deviation of 20% and an expected return of 15%.
1. Draw the CML and mark the points where the investment in the market is 0%, 25%, 75%, and 100%.
2. Mr. Miles is also interested in determining the exact risk and return at each point
In: Accounting
he table below contains the overall miles per gallon (MPG) of a type of vehicle. Complete parts a and b below.
|
29 |
27 |
23 |
35 |
28 |
20 |
28 |
30 |
29 |
27 |
35 |
29 |
34 |
33 |
a. Construct a 99% confidence interval estimate for the population mean MPG for this type of vehicle, assuming a normal distribution.The 99% confidence interval estimate is from
MPG to MPG. (MPG) Miles per gallon.
(Round to one decimal place as needed.)
b. interpret the interval of (a)
In: Statistics and Probability
the accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. (a) compute the z-score corresponding to the individual who obtained 38.7 miles per gallon. interpret this result. (b) determine the quartiles. (c) compute and interpret the interquartile range, iqr. (d) determine the lower and upper fences. are there any outliers?39.939.9 42.442.4 34.634.6 36.336.3 38.138.1 38.938.9 40.540.5 42.842.8 34.734.7 37.537.5 38.338.3 39.439.4 41.441.4 43.643.6 35.235.2 37.637.6 38.538.5 39.739.7 41.641.6 49.049.0
In: Statistics and Probability
The speed limit of a road is 65 miles per hour. The speed of a car on the highway follows a normal distribution with a mean of 70 and standard deviation of 5. What percent of the distribution breaks the speed limit?
The speed limit of a road is 65 miles per hour. The speed of a car on the highway follows a normal distribution with a mean of 70 and standard deviation of 5. A police officer will only react to speeding if the person is going 3 standard deviations above the average (z = 3). What is the speed at which he will react?
In: Statistics and Probability
A delivery truck costing $26,000 is expected to have a $1,500 salvage value at the end of its useful life of four years or 125,000 miles. Assume that the truck was purchased on January 2. Calculate the depreciation expense for the second year using each of the following depreciation methods: (a) straight-line, (b) double-declining balance, and (c) units-of-production. (Assume that the truck was driven 28,000 miles in the second year.) Round all answers to the nearest dollar.
a. Straight-line $ ?
b. Double-declining balance $ ?
c. Units-of-production $ ?
In: Accounting
In automobile mileage and gasoline-consumption testing, 6 automobiles were road tested for 300 miles in both city and highway driving conditions. The following data were recorded for miles-per-gallon performance. City 16.2 16.7 15.9 14.4 16 16.2 Highway 19.4 20.6 18.3 18.6 18.6 18.7 Use mean, median, and mode to make a statement about the difference in performance for city and highway driving. Which area of Statistics helps you to either validate or disprove such a statement and why?
In: Math