\(P = {x : 1 \leq x \leq 6}\) and \(Q = {x : 2 < x < 9}\) where \(x \in R\), find \(P \cap Q\).
\({x : 2 \leq x \leq 6}\)
\({x : 2 \leq x < 6}\)
\({x : 2 < x < 6}\)
\({x : 2 < x \leq 6}\)
Correct answer is D
No explanation has been provided for this answer.
2 N
10 N
\((4 + 4\sqrt{3})N\)
\((6 - 4\sqrt{3})N\)
Correct answer is D
The vertical component = \(8 \sin 300 + 6 \sin 90 + 4 \sin 180\)
= \(-4\sqrt{3} + 6 + 0 \)
= \((6 - 4\sqrt{3}) N\)
\(125\sqrt{3} m\)
\(125 m\)
\(62.5 m\)
\(25\sqrt{3} m\)
Correct answer is B
No explanation has been provided for this answer.
840
480
408
380
Correct answer is A
= \(^{8}C_{5} \times ^{6}C_{4}\)
=\(56 \times 15\)
= 840
Calculate, correct to one decimal place, the standard deviation of the numbers: -1, 5, 0, 2 and 9.
7.2
6.6
3.6
3.2
Correct answer is C
| \(x\) | -1 | 5 | 0 | 2 | 9 | Total = 15 |
| \(x - \bar {x}\) | -4 | 2 | -3 | -1 | 6 | |
| \((x - \bar{x})^{2}\) | 16 | 4 | 9 | 1 | 36 | 66 |
Mean = \(\frac{15}{5} = 3\)
SD = \(\sqrt{\frac{\sum (x - \bar {x})^{2}}{n}}\)
= \(\sqrt{\frac{66}{5}} \)
= \(\sqrt{13.2}\)
= 3.6