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Find the domain of (f/g)(x) when f(x)=1/x and g(x)=square root x+8
General
4 months ago
According to the partial construction shown, what is the next step in constructing a line parallel to a given line? Place compass at C and, with compass set to segment AB, draw an arc that intersects line PA. Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA. Use straightedge to draw a segment connecting P and C. Use straightedge to draw a segment connecting B and C.
General
4 months ago
Suppose that a teacher agrees to pay a student 10¢for every problem in this chapter that the student solves correctly, and fines the student 5¢for every problem done incorrectly. If at the end of 30problems they do not owe each other any money, how many problems did the student solve correctly?
General
4 months ago
Mario is constructing a square dart board. It will consist of a smaller square centered in a larger square. The smaller square measures $4$ inches on each side. The ratio of the area of the smaller square to the area of the entire dart board is $\frac 49$. How long is the side of the larger square?
General
4 months ago
A car accelerates uniformly in a straight line from rest at the rate of 2.3 m/s2 . a. What is the speed of the car after it has traveled 55 m? b. How long does it take the car to travel 55 m?
General
4 months ago
Solve for x x - 1 2 = 4
General
4 months ago
a recipe calls for 3 1/2 cups of flour and 3/4 cup of sugar. if you want to make a recipe with 6 cups of flour how much sugar will you need?
General
4 months ago
After alcohol is fully absorbed into the body, it is metabolized with a half-life of about 1.5 hours. Suppose you have had three alcoholic drinks and an hour later, at midnight, your blood alcohol concentration (BAC) is 0.5 mg/mL. (a) Find an exponential decay model for your BAC t hours after midnight.
General
4 months ago
If f(x) is defined as follows,f(x) = 16x^2 + 4x + 64 find (a) f(-2)(b) f(0)(c) f(1)
General
4 months ago
Bob bikes to school every day at a steady rate of x miles per hour. On a particular day, Bob had a flat tire exactly halfway to school. He immediately started walking to school at a steady pace of y miles per hour. He arrived at school exactly t hours after leaving his home. How many miles is it from the school to Bob's home? A) (x + y) / t B) 2(x + t) / xy C) 2xyt / (x + y) D) 2(x + y + t) / xy E) x(y + t) + y(x + t)
General
4 months ago
Peter is buying office supplies he is able to buy three packages of paper in for staplers for $40 or he is able to buy five packages of paper and six staplers for $62 how much does a package of paper cost how much does a stapler cost
General
4 months ago
Write a real world situation that could be modeled by the creation 100 minus 6X equals 160-10 X
General
4 months ago
An English teacher needs to pick 10 books to put on his reading list for the next school year, and he needs to plan the order in which they should be read. He has narrowed down his choices to 4 novels, 7 plays, 7 poetry books, and 3 nonfiction books. Step 1 of 2 : If he wants to include no more than 2 plays, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.
General
4 months ago
The Environmental Protection agency requires that the exhaust of each model of motor vehicle be tested for the level of several pollutants. The level of oxides of nitrogen (NOX) in the exhaust of one light truck model was found to vary among individually trucks according to a Normal distribution with mean 1.45 grams per mile driven and standard deviation 0.40 grams per mile. (a) What is the 99th percentile for NOX exhaust, rounded to four decimal places? (b) Find the interquartile range for the distribution of NOX levels in the exhaust of trucks rounded to four decimal places.
General
4 months ago
A rainstorm in Portland, Oregon, has wiped out the electricity in about 10% of the households in the city. A management team in Portland has a big meeting tomorrow, and all 6 members of the team are hard at work in their separate households, preparing their presentations. What is the probability that none of them has lost electricity in his/her household? Assume that their locations are spread out so that loss of electricity is independent among their households. Round your response to at least three decimal places.
General
4 months ago
The World Health Organization is planning a study of the average weight gain of Europeans in the last 5 years. Scientists from the WHO plan on taking a SRS of 100 Europeans and calculating a 95% confidence interval of the average weight gain μ of all Europeans. The WHO changed their minds and now plans on calculating a 90% confidence interval from the sample they will select. Explain to the WHO the impact of changing their confidence level from 95% to 90%.Their confidence interval would be less likely to capture the sample mean.They would decrease the margin of error of their confidence interval if they calculated a 90% rather than a 95% confidence interval. The probability of selecting a sample which doesn't capture the true value of μ would be 10% rather than 5% if they decide to calculate a 90% confidence interval rather than a 95% confidence interval from the sample they will select
General
4 months ago
The Economic Policy Institute periodically issues reports on wages of entry level workers. The Institute reported that entry level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80 per hour in 2011 (Economic Policy Institute website, March 30, 2012). Assume the standard deviation for male graduates is $2.30, and for female graduates it is $2.05What is the probability that a sample of 50 male graduates will provide a sample mean within $.50 of the population mean, $21.68?What is the probability that a sample of 50 female graduates will provide a sample mean within $.50 of the population mean, $18.80?What is the probability that a sample of 120 female graduates will provide a sample mean more than $.30 below the population mean?
General
4 months ago
Dorothy is using fabric to cover a photo album the width of the fabric is 5/8 of a yard the area of the fabric is 5/16 square yards what is the length of the fabric
General
4 months ago
Solve:-22x - 9 - 7 = -5x + 1 - 33x + 63
General
4 months ago
A transistor radio uses 2 amps of current when it is run by a 9 volt battery. What is the resistance in the radio circuit
General
4 months ago
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