(a)The table shows the distribution of heights ( cm ) of 60 seedlings in a vegetable garden.
| Heights(cm) | 0.1 - 0.3 | 0.4 - 0.6 | 0.7 - 0.9 | 1.0 - 1.4 | 1.5 - 1.9 | 2.0 - 22 | 2.3 - 2.5 |
| Frequency | 6 | 9 | 12 | 15 | 3 | 6 | 9 |
Draw a histogram for the distribution.
(b) The table shows the distribution of heights ( cm ) of 60 seedlings in a vegetable garden.
| Heights(cm) | 0.1 - 0.3 | 0.4 - 0.6 | 0.7 - 0.9 | 1.0 - 1.4 | 1.5 - 1.9 | 2.0 - 2.2 | 2.3 - 2.5 |
| Frequency | 6 | 9 | 12 | 15 | 3 | 6 | 9 |
Use the histogram to estimate the modal height of the seedlings.
There are 6 boys and 8 girls in a class. If five students are selected from the class, find the probability that more girls than boys are selected
(a) A bus travels with a velocity of \(6 ms ^{-1}\). It then accelerates uniformly and travels a distance of 70 m. If the final velocity is \(20 ms ^{-1}\), find, correct to one decimal place, the:
acceleration;
(b) A bus travels with a velocity of \(6 ms ^{-1}\). It then accelerates uniformly and travels a distance of 70 m. If the final velocity is \(20 ms ^{-1}\), find, correct to one decimal place, the:
time to travel this distance.
P is the mid-point of \(\overline{NO}\) and equidistant from \(\overline{MN}\) and \(\overline{MO}\) . If \(\overline{MN}\) = 8i + 3j and \(\overline{MO}\) = 14i - 5j, find \(\overline{MP}\) .
(a) Find the derivative of \(4x-\frac{7}{x^2}\)with respect to \(x\), from first principle.
(b) Given that tan \(P =\frac{3}{x - 1}\) and tan \(Q\) =\frac{2}{x + 1}\), find tan \(( P - Q )\)
