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there are 33 students in the band. there are 6 more fifth-grade students than third-grade students. There are an equal number of third and fourth-grade students. How many thirdgrade students are in the band?
Write the slope-intercept equation of a function f whose graph satisfies the given conditions.
the length of a new rectangular playing field is 7 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 514 yards, what are the dimensions?
(b) What should be the level of sales be in order for the division to realize a 13% profit over the cost of making the diaries? (Round your answer to the nearest whole number.)
What percentage of the commuters are expected to use public transportation 6 months from now?
Assuming both retire at 70, and that the interest rate both get on their investments is 10% (compounded annually) who has the most money in their account at age 70? Explain why you pick the answer you pick.
when observed from the top of a 250 foot lighthouse, the angle of depression of an approaching ship is 50 degrees. identify the horizontal distance from the lighthouse to the ship rounded to the nearest tenth?
Let f be defined on the interval [0,1] by setting f(x)=0 if x is irrational, and if x=(m/n) rational where gcd(m,n)=1 set f(x)=n. Show that f is unbounded on every open interval in [0,1] and compute the Lebesgue integral of f over the interval [0,..
Calculate the sample regression line, where sales is the dependent variable and selling expenses and price are the independent variable.
How many committees are there? How many committees of 5 can be formed from 8, given that two particular individuals are to be included on the committee?
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.
A sum of $1,000 was invested for 4 years, and the interest was compunded semiannually. If the sum amounted to $1,300.24 in the given time, what was the interest rate?
A manufacturer of small glass figurines discovers that it costs $ 1800 for a production run of 1600 and $ 1900 for a production run of 1800 . Assuming that cost is a linear function of the number of items, find the overhead and the marginal cost o..
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