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New questions in Mathematics
Two fire lookouts are 12.5 km apart on a north-south line. The northern fire lookout sights a fire 20ยฐ south of East at the same time as the southern fire lookout spots it at 60ยฐ East of North. How far is the fire from the Southern lookout? Round your answer to the nearest tenth of a kilometer
5 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight
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Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.
A mutual fund manager has a $350 million portfolio with a beta of 1.10. The risk-free rate is 3.5%, and the market risk premium is 6.00%. The manager expects to receive an additional $150 million which she plans to invest in several different stocks. After investing the additional funds, she wants to reduce the portfolioโs risk level so that once the additional funds are invested the portfolioโs required return will be 9.20%. What must the average beta of the new stocks added to the portfolio be (not the new portfolioโs beta) to achieve the desired required rate of return?
It is known that the content of milk that is actually in a bag distributes normally with an average of 900 grams and variance 25 square grams. Suppose that the cost in pesos of a bag of milk is given by ๐ถ(๐ฅ) = { 3800 ๐ ๐ ๐ฅ โค 890 4500 ๐ ๐ ๐ฅ > 890 Find the expected cost.
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22. Let [AB] be a chord in a circle C, and k a circle which is internally tangent to the circle C at a point P and to the chord [AB] at a point Q. Show that the line P Q passes through the midpoint of the arc AB opposite to the arc APB.
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-6 - t / 4 = -1
4m - 3t + 7 = 16
Let f(x)=-1/2x+5 evaluate f(-6)
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