MATH SOLVE

• Binomial distribution: find the probability that in 10 tosses of a coin you will get 3 to 6 heads

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• 0.75%*4=

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• Find the slope of the tangent line to the graph of y= X^2 + 2 at X=1

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• 1.5x - 3 when x = 3

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• Solve geographically and graphically x+y=6 Xy=2

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• In a box there are 4 identical indistinguishable balls numbered from 0 to 3. Remove them at random successively and without exchanging two balls from the bag. Let Z be the queried variable "product of said numbers". For a certain value of K, we have that: P(Z = K) = 1/2. What is the value of K?

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• Here are some fun, tricky and hard to solve maths problems that will challenge your thinking ability. If 1=3 2=3 3=5 4=4 5=4 Then, 6=?

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• A reviewer is passed through by an electric current of 15 mA when a potential difference of 120v is applied to stop the resistance

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• How does the expression 7 x (6+5) compare to the expression 6+5? Explain how you know.

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• The rest energy E of an object is given by Albert Einstein's famous equation E=mc2, where c is the speed of light in a vacuum. Calculate E to three significant figures for an electron with mass m=9.11x10-31 kg. The SI unit for E is the Joule (J); 1 J= 1 kg*m/s2. The speed of light is 2.99792458x108 m/s

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• A square field measuring 100.00m by 100.00 m has an area of 1.00 hectare. One acre has an area of 43,600 square feet. If a field has an area of 12.0 acres, what is its equivalent in hectares?

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• Let X be a discrete random variable with range {1, 3, 5} and whose probability function is f(x) = P(X = x). If it is known that P(X = 1) = 0.1 and P(X = 3) = 0.3. What is the value of P(X = 5)?

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• Of the tools produced with a certain manufacturing process, 10% are defective. Using: a) the binomial distribution and b) the Poisson approximation to the binomial distribution, find the probability that in a sample of 10 tools chosen at random exactly 2 are defective.

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• In an electronic circuit, a multimeter is used that returns the following measurements of current intensity at different points in the circuit: 0.050 A, 10.050 A and 0.101 A. How many significant figures do these measurements have?

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• A cylindrical can, open at the top, is to hold 250cm^(3) of liquid. Find the height and radius that minimize the amount of material needed to manufacture the can. Enter your answer with rational exponents, and use pi to represent \pi . Radius = Height=

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• Determine f-1 (x) the reciprocal function of f(x) = 3x+5/ 4x -1

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• A street light is at the top of a 11.5ft. tall pole. A man 5.9ft tall walks away from the pole with a speed of 6.5 feet per sec along a straight path. How fast is the tip of his shadow moving when he is 35 feet from the pole? Hint: Draw a picture and use similar triangles.

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• Solve the following derivatives using rules and derivative algebra (give the simplified result). f(x)= (4x - 1)/(2x^2+3x-1)

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• -5(3x+1)+7(5x-2)

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• One producer pays $52 of VAT per unit on one good, the VAT rate is 15.8%, the exchange rate between dollar and yen is 0.00545$/yen and he makes a return of 23% on the price VAT included. What is the cost per unit, in yen?

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