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1/2m-3=5/6-2/3m

Musquodoboit World Airways operates a fleet of small passenger planes. Like most major airlines it has a problem with no-shows, people who make reservations, but don't show up for their flight or cancel at the last minute. Their no-show rate is 20%, comparable to the industry average. One type of aircraft used by MWA can accommodate up to 14 passengers. How many reservations should they accept if they don't want to bump passengers (make them take a different flight because the plane is full) more than 10% of the time?

If the legs of a triangle are 7 cm and the base is 5 cm, what is the area?

Hi could you help me to understand how I can simplify: 2(4x^2+7x)-(x+2)(8x-2)
Thank you

Suppose a toy company wants to know if certain colors are mmore appealing to toddlers then others. they decide to measure this be choosing 5 colors of blocks and making sets of blocks i each of the five colors. then they found 30 toddlers to participate in the study, and they randomly assigned each toddler a block color. they observed each toddler separately at the same time of the day, and gave them no other toys to play with. they recorded the length of the time each toddler played with the blocs, to see if some colors of blocks were played with longer then other colors. all toddlers in the experiment where the same age (2 years old) and an equal number of girls and boys played with each color of blocks. A) what is the explanatory variable and what is the response variable? B) What is your clue to know that this is an experiment instead of an observational study? C)Name one confounding variable that was controlled for in this study

A file clerk is assigned the task of selecting a random sample of 26 company accounts (from a total of 5,000) to be audited. The clerk is considering two sampling methods: Method A- Organize the 5,000 company accounts in alphabetical order (according to the first letter of the clients last name). Then randomly select one account card for each of the 26 letters of the alphabet. Method B- assign each company account a 4 digit number from 0001 to 5000. using a computer random number generator, choose 26 4-digit numbers (from 0001 to 5000) and match the numbers with the corresponding company account. Which of the two methods would you recommend to the file clerk? which sampling method could possible yield a biased sample? why?

Let S; T : L^2(0,infinite) -> L^(o,infiniti) be given by
(Sf)(t) = f(2t), (Tf)(t)=f(t/2), f is an element of L^2 (0,infinite).
You are given that S and T are linear mappings L^2(0,infinite) ->L^2(0,infinite), and you need not prove this fact.
i) Calculatr ||S||
ii) Show that T*=2S. Determine S*

[Hint: The usual rules for integration by substitutions also work for the Lebesque integral You need not justify this fact. }

data has been collected from a representative sample of a well defined population to answer the q "how much money does the average senior male at normal high school have in his pockets at the end of the school day on a Friday?" Which of these is the next step? why? A-determine the margin of error B- summarize the data with a sample statistic C- use the collected data to make inferences about the population D- summarize the data with a sample parameter.

you want to determine the typical dietary habits of students at a college. which would be the best sample to represent a typical student. *students in a single dormitory *students majoring in public health *students who participate in intercollegiate sports *students enrolled in a required English course. Why? explain why each of the other choices would not make a good sample for this study.

a study of the effect of living in public housing on family stability and other variables in poverty level households was carried out as follows. The researchers obtained the list of all applicants for public housing during the previous year. some applicants had been accepted, and others had been turned down by the housing authority. both groups were interviewed and compared. was this study an experiment? why or why not? what are the explanatory and response variables in the study?

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