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Objects with masses m1 = 12.0 kg and m2 = 8.0 kg are connected by a light string that passes over a frictionless pulley as in the figure below. If, when the system starts from rest, m2 falls 1.00 m
The coefficient of static friction between the m = 2.95-kg crate and the 35.0° incline of the figure below is 0.330. What minimum force vector F must be applied to the crate perpendicular to the
A student decides to move a box of books into her dormitory room by pulling on a rope attached to the box. She pulls with a force of 126 N at an angle of 27.0° above the horizontal. The box has
A 3.00-kg block starts from rest at the top of a 33.0° incline and slides 2.00 m down the incline in 1.50 s. Find the acceleration of the block.
Find the mean and the standard deviation for the number of househ10. Refer to Question 9. If in a sample of 8 houses selected at random only 3 houses had cable TV, can it be considered an unusually
A paper studied various aspects of bus service and presented data on travel times from several different routes. The accompanying frequency distribution is for bus travel times from origin to destin
In a certain noisy factory, workers are provided with earplugs and are expected to wear them. An industrial hygienist inspecting the plant found that 100 of the 500 workers in the factory were not w
Find the standard deviation of the distribution in the following situations. (a) MENSA is an organization whose members have IQs in the top 2% of the population. IQs are normally distributed with me
Damien is 68 inches tall. Use the equation of the regression-line exactly as given in the first question to predict the height of his sister Tonya. Give your answer to two decimal places.
What was the cumulative incidence rate of hearing loss in workers who did not wear earplugs? What was the relative risk of hearing loss in workers who did not wear earplugs, compared with those who di
It is known that 35% of all students in a college are football fans. A sample of 12 students is selected at random. Find the probability that not one of these 12 students is a football fan.
An investor is considering purchasing a small business. He knows that in case of a good market the business will yield $95,000 of profit; in case of a poor market there will be a loss of $15,000. It
What percent of years does this portfolio lose money, i.e. have a return less than 0%? What is the cutoff for the highest 15% of annual returns with this portfolio?
The proportion of public accountants who have changed companies within the last three years is to be estimated within 4%. The 90% level of confidence is to be used. A study conducted several years a
The expected project completion time for the construction of a pleasure yatch is 21 months and the project variance is 6. What is the probability that the project will
There are 20,000 eligible voters in York County, South Carolina. A random sample of 500 York County voters revealed 350 plan to vote to return Louella Miller to the state senate. Construct a 99% con
The estimate of the population proportion is to be within plus or minus 0.02, with a 90% level of confidence. The best estimate of the population proportion is 0.18. How large a sample is required?
A new analytical method to detect pollutants in water is being tested. This new method of chemical analysis is important because, if adopted, it could be used to detect three different contaminates
Find the probability distribution for X and display it in a table. Find the mean and the variance of the probability distribution for X. What is the probability that the system fails?
What is the probability that a product attains a good review? If a new design attains a good review, what is the probability that it will be a highly successful product? If a product does not attain a
A system consists of 4 identical components, where at least 3 components need to work for the system to work. Each component has an equally likely chance of failing or working. Let X be the number o
When a pair of dice are thrown, we are customarily interested in the total number of dots T. Calculate:
Is it possible to calculate distribution-free confidence intervals based upon the Wilcoxon two-sample test? If so, what do they mean?
Past experience shows that over time the rivets in bridge supports can become dangerously loose. Assume that X, the number of loose rivets found per 10 feet beam on bridges over 20 years old, has th
He always brought a bomb himself on any plane flight he took, believing that the chance would be astronomically small that two people on the same flight would both have a bomb. Explain the fallacy i