Zadanie 9g
Restart with 4 amber and 2 violet tokens and continue the same rule until the first violet selection. The probability that the first violet occurs on selection n is 20/189. Find n.
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Restart with 4 amber and 2 violet tokens and continue the same rule until the first violet selection. The probability that the first violet occurs on selection n is 20/189. Find n.
Find (i) the two possible values of angle OAB; (ii) the corresponding areas of triangle OAB.
A second crossbar CD has length 12 m, with C on OA and D on OB. Triangle OCD has area 50 m². Writing x=OC and y=OD, show that .
A crossbar CD of length 12 m joins C on OA to D on OB and triangle OCD has area 50 m². Find the two possible lengths OC.
Show that 2p − q = a.
Show that s2 = at.
Show that p>2.
Suppose a=16 and s>0. List the first four terms of (i) the arithmetic sequence; (ii) the geometric sequence.
Suppose a=16 and s>0, and define un = An + ln Gn. (i) Show that u_n is arithmetic and find its common difference. (ii) Show that .
Show that AB=37.47 m to four significant figures.