Zadanie 8c
During one turn the marker is at least 12.5 cm above the bench for a total of T seconds. Find T.
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During one turn the marker is at least 12.5 cm above the bench for a total of T seconds. Find T.
(i) Find h′(t). (ii) Hence or otherwise, find when the marker’s height decreases most rapidly during one turn.
Find P(R < 990).
The highest 15% of resistances exceed r ohms. Find r to four significant figures.
What percentage of resistors pass inspection?
Find the probability that a tray contains at least 20 resistors that pass.
Find the probability that exactly three trays in a batch each contain at least 20 passing resistors.
At a second factory resistance is normal with unknown mean μ and standard deviation σ. Exactly 84% pass the same inspection thresholds. The fraction below 990 Ω is three times the fraction above 1030 Ω. Find μ.
Assume the sequence is arithmetic. (i) Find k. (ii) Hence or otherwise, find u3.
Now set k = −6. (i) Prove that the three terms form the start of a geometric sequence. (ii) Explain why the corresponding infinite geometric series has no finite sum.