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From an ordinary deck of 52 cards, cards are drawn one by one, at random and without replacement. What is the probability that the third heart is drawn on the eleventh draw? Hint: Let F denote the event that in the rst ten draws there are exactly two hearts, and E be the event that the eleventh draw is a heart. Use P (EF) = P (F)P (E|F).
Probability of Picking Groups of Cards, Find the probability that a hand of 13 cards dealt from a well shuffled pack of 52 contains
A student and a professor each choose a number between 1 and 5 (1 and 5 are both possible choices). What is the probability that the two choose the same number?
Find the GCF of each pair of monomials - Factor Linear Expressions - Factor each expression. If the expression cannot be factored, write
Let's use the product and chain rule to find f'(x)= x*3(x-4)^2 + (x-4)3; factor out the common binomial to get f'(x)=[3x+x-4](x-4)2= [4x-4](x-4)2= 4[x-1](x-4)2; Now to f'' let's use the product and chain rule again. f''(x)=4[x-1]*2(x-4) + 4(x-4..
First-order differential equations, Solve the following and study the behavior of x(t) when t → ∞. 2x'(t)+8x(t) = 6, with x(0) = 10
a business sells brass and steel machine parts. one shipment contains 3 brass and 10 steel parts and costs 48. a
If the distance the car traveled after applying the brakes equals 20 feet, what does that mean to the officer investigating the accident? (HINT: Let d = 20, bring 20 to the right so that the equation equals zero, identify the coefficients, A, B an..
Lloyd industrial cleaning supplies to large factories.
Why can we use fixed point method to compute the solution of nonlinear equation y=g(x)? It's always convergence or not? If not, please gives a example to show it's divergence.
How many times does the graph of a quadratic equation (a parabola) cross the x-axis? I know that the graph of a quadratic equation should cross the x-axis 2 times, because the polynomial equation of second degree should have two roots, however if ..
Let G be a group and let φ: S3 → G be a non-trivial homomorphism. Suppose φ is not injective. Find the kernel of φ. If φ is surjective, what is G
The electron's acceleration is due to two electric forces parallel to the x axis: = 9.68 x 10-17 N, and , which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force .
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