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MATH SOLVE
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A potential energy function for system 1 is given by U1(x)=Cx2+Bx3. The potential energy function for system 2 is given by U2(x)=A+Cx2+Bx3, where A is a positive quantity. How does the force on system 1 relate to the force on system 2 at a given position?
General
2 months ago
A potential customer for a $60,000 fire insurance policy possesses a home in an area that, according to experience, may sustain a total loss in a given year with probability of 0.001 and a 50% loss with probability 0.01. Ignoring all other partial losses, what premium should the insurance company charge for a yearly policy in order to break even on all $60,000 policies in this area?
General
2 months ago
A color photograph taken with a digital camera is converted into digital format using 4 x 10^0 bytes per pixel. Photographs taken with the camera each have 2.2 x 10^6 pixels. How many bytes are there in one photo? Write your answer in scientific notation
General
2 months ago
Among women who have the BCRS1/2 gene, 51% of them contract breast or ovarian cancer by the age of 50. Imagine an experiment in which a 50 year old woman with this gene is chosen at random, and it is recorded whether or not she has breast or ovarian cancer. Let 5 women be selected in this manner, and let X = the number of women who have breast or ovarian cancer. What is P(X=1)?
General
2 months ago
A researcher is interested in whether students who play sports have a higher or lower body mass index (BMI) than students in the general population. The researcher is unsure whether playing sports will decrease body mass (due to more calories burned) or increase body mass (due to more muscle mass). This is a _____ -tailed test and the zcv is _____.
General
2 months ago
Aladdin has 12 gold coins in his magic bag. The Genie tells him that for every 100 gold coins he has in his magic bag, he will get 25 extra gold coins every year. How many years later will Aladdin have 21 gold coins in his bag?
General
2 months ago
Select the best answer. The Web portal AOL places opinion poll questions next to many of its news stories. Simply click your response to join the sample. One of the questions in January 2008 was "Do you plan to diet this year?" More than 30,000 people responded, with 68% saying "Yes." You can conclude that (a) about 68% of Americans planned to diet in 2008. (b) the poll used a convenience sample, so the results tell us little about the population of all adults. (c) the poll uses voluntary response, so the results tell us little about the population of all adults. (d) the sample is too small to draw any conclusion. (e) None of these.
General
2 months ago
A car dealership sells sedans and SUVs. In 2000, the ratio in which they were sold was 5:4. By 2010, the dealership had adjusted its inventory to a 2:7 ratio. The car dealership sold the same total amount of vehcles in both years. If it sold 84 SUVs in 2010, then how many sedans did it sell in 2000?
General
2 months ago
Find three consecutive odd integers such that the sum of the smaller two is three times larger increased by seven
General
2 months ago
Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. Y : the length of timeto play 18 holes of golf. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. P: the number of building permitsissued each month in a certain city. Q: the weight of grain produced per acre.
General
2 months ago
You buy butter for $3.31 a pound. One portion of the onion compote requires 1.7 oz of butter. How much does the butter for one portion cost?Round to the nearest cent.
General
2 months ago
Which theoretical probabilities are equal to 1/3? Check all that apply. rolling an even number on the first roll landing on a star space on the first rolllanding at Cat Town on the first roll not landing on a question mark or star on the first roll rolling a number greater than 4 on the first roll
General
2 months ago
A publisher reports that 65% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 340 found that 60% of the readers owned a laptop. Is there sufficient evidence at the 0.01 level to support the executive's claim? Determine the P-value of the test statistic.
General
2 months ago
Among a sample of 55 male soldiers the average shower time was found to be 2.95 minutes and the population standard deviation is known to be 0.65 minutes. Among a sample of 58 female soldiers the average shower time was found to be 3.3 minutes and the population standard deviation is known to be 0.56 minutes. Assume normality of the data. What is the test statistic? Give your answer to four decimal places.
General
2 months ago
Two planes leave Pittsburg and Philadelphia at the same time, each going to the other city. One plane flies 25 miles per hour faster than the other. Find the airspeed of each plane given that the cities are 275 miles apart and the planes pass each other after 40 minutes of flying time.
General
2 months ago
Points A, B, and C are on line AC.A horizontal line has points A, B, C. A line extends from point B up and to the left to point D. Angle D B C is 140 degrees.Angle CBD has a measure of 140°. What is the measure of angle ABD?
General
2 months ago
If f(x) = -4x + 2 and g(x) = sq root X – 8,what is (fºg)(12)?
General
2 months ago
alec is climbing a 14 foot ladder where the rungs are 3/4 of a foot apart. there is one foot of space on each end of the ladder before the first and last rung. How many rungs are on the ladder that alec is climbing including the first and last one?
General
2 months ago
Consider the sequence: 3, 8, 13, 18, 23, ...
General
2 months ago
List three real-world examples that can be modeled with a sinusoidal function.
General
2 months ago
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