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combinatorics: what is the coefficient of (a^2)(b^3)(c) in (2a - b + 3c)^6?
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4 months ago
asap plz help maxium points will mark brainliest
General
4 months ago
Two professors are applying for grants. Professor Jane has a probability of 0.61 of being funded. Professor Joe has probability 0.27 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent. Give your answer to four decimal places. a. What is the probability that both professors get their grants funded? Give your answer to four decimal places
General
4 months ago
Suppose the link of a segment GH is 8 cm which is the best estimate for segment CF
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4 months ago
50 POINTS!!! WILL MARK BRAINLIEST!!! CORRECT ANSWERS PLS 1 HOUR LEFT
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4 months ago
Enter the correct answer in the box.Factor the expression x^2+ 4x - 12
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4 months ago
Let P(x,y) be a propositional function if ꓯyꓱxP(x,y) is true does it necessarily follow that ꓱxꓯyP(x,y) is true? Justify your answer or give a counter-example
General
4 months ago
Use the compound interest formula to compute the total amount accumulated and the interest earned $4500 for 3 years at 5% compounded quarterly The total amount accumulated after 3 years is $5223.40 (Round to the nearest cent as needed.) The amount of interest earned is $ (Round to the nearest cent as needed.)
General
4 months ago
Two adjacent angles have non-common sides that form a straight line. if one angle is acute, what kind of angle is the other one, how do you know?
General
4 months ago
WILL MARK BRAINLIEST!!!Which graph represents a function with direct variation?
General
4 months ago
Assume that it costs a company approximately C(x) = 484,000 + 160x + 0.001x2 dollars to manufacture x units of a device in an hour at one of their manufacturing centers. How many devices should be manufactured each hour to minimize average cost? units What is the resulting average cost of a device? $ How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ. $
General
4 months ago
Suppose a huge internet-based lighting company receives a shipment of several thousand boxes of light bulbs every Tuesday. Inspectors return the merchandise to the manufacturer if the proportion of damaged light bulbs is more than 0.06 (6%). Rather than inspect all of the packages, 100 boxes are randomly sampled. As long as at least 10 damaged and 10 undamaged light bulbs are found, a one-sample zz ‑test is run with a significance level of 0.05 to see if the proportion of damaged light bulbs in this shipment exceeds 0.06. The test has a power of 0.85 to correctly reject their null hypothesis if the proportion of damaged light bulbs exceeds 0.08. If the lighting company decides to return the shipment to the manufacturer, what is the probability that a type I error has been made? Give your answer as a decimal precise to two decimal places.
General
4 months ago
Sponsors of a local charity decided to attract wealthy patrons to its $500-a-plate dinner by allowing each patron to buy a set of 20 tickets for the gaming tables. The chance of winning a prize for each of the 20 plays is 50–50. If you bought 20 tickets, what is the chance of winning 15 or more prizes?
General
4 months ago
Assume that all grade-point averages are to be standardized on a scale between 0 and 6. How manygrade-point averages must be obtained so that the sample mean is within 0.006 of the population mean? Assume that a 99% confidence level is desired. If using the range rule ofthumb, σ can be estimated as Range/4=6-0/4 = 1.5. Does the sample size seempractical?
General
4 months ago
A bicycle store costs $3500 per month to operate. The store pays an average of $75 per bike. The average selling price of each bicycle is $145. How many bicycles must the store sell each month to break even?
General
4 months ago
One desk requires 84 inches of a type of trim. Find the length of trim needed in inches for 5 desks. Then convert your answers to potentially more useful unit.show conversions and work.
General
4 months ago
In may you used 700 kilowatt-hours of energy for electricity.A. calculate the total electrical energy used in joulesB. calculate the average power use in wattsC. assume that your power supplier generates electricity by burning oil. Note that 1 liter of oil releases 12 million joules of energy. How much oil is needed to generate the electricity you use? Give answer in both liters and joules.I am really having a hard time with this..
General
4 months ago
From a survey of coworkers you find that 51% of 250 have already received this year's flu vaccine. An approximate 95% confidence interval is (0.447, 0.573).Which of the following are true? Explain why you think whethere it's ture or not please. Thank you so much:)a) 95% of the coworkers fall in the interval (0.447, 0.573).b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 44.7% and 57.3%.c) There is a 95% chance that a random selected coworker has received the vaccine.d) There is a 51% chance that a random selected coworker has received the vaccine.e) We are 95% confident that between 44.7% and 57.3% of the samples will have a proportion near 51%.
General
4 months ago
An unknown radioactive element decays into non-radioactive substances. In 440 days the radioactivity of a sample decreases by 74 percent.(a) What is the half-life of the element?half-life: (days)(b) How long will it take for a sample of 100 mg to decay to 91 mg?time needed: (days)
General
4 months ago
Confidence Intervals of a Population Mean1.Now suppose you do not know the population mean fee charged to H&R Block customers last year. Instead, suppose you take a sample of size n=40 and find a sample mean of 175. Assume that the distribution for fees is normally distributed with a population standard deviation of $50.a.Calculate the standard error of x (line over x)b.95% confidence interval for the population mean of fees at H&R Block.i.Calculate the margin of error (MOE) of using a 5% significance level.ii.Calculate the 95% confidence interval.iii.Write one complete sentence about the interpretation of the confidence interval.a.90% confidence interval for the population mean of fees H&R Block.i.Calculate the margin of error (MOE) of using a 10% significance level.ii.Calculate the 90% confidence interval.iii.Suppose an analyst belief that the population mean fee is equal to $185. Using a 90% confidence level. can we conclude the analyst is right? Why or why not?please show every step!
General
4 months ago
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