Zadanie 5a
Find Sₙ.
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Znaleziono 1343 zadania
Find Sₙ.
Hence prove S1 + S2 + ⋯ + Sn = [4(4n − 1) − 3n]/9.
Find Pearson’s correlation coefficient.
The technician substitutes x=10 into the given regression line to predict y. Give one reason this is inappropriate.
For a missing A reading with y=130, the technician rearranges 130=1.069x+2.184 and rounds to 120. (i) Explain the problem with this method. (ii) Use an appropriate method to show that the estimate is 119 to the nearest integer.
State the equation of the horizontal asymptote of f.
(i) For m > 0, state the number of real solutions of f(x) = g(x). (ii) Find m for which there is exactly one real solution. (iii) Find all m for which there are two distinct solutions and both are nonnegative.
Each independent attempt to receive a beacon has success probability 0.18. If X is the number of successes in n attempts, then . Find the least integer n for which P(X≥1)>0.995.
Let for . The region below this curve, above the x-axis and between x=0 and is rotated through 2π radians about the x-axis. Show that its volume is π/2.
Find P(X=7).