The maximum height reached is inversely proportional to acceleration due to gravity. Since the Moon has one-sixth of Earth gravity, the ball travels six times higher, reaching a height of 48 m on the Moon.
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Arc length is (75/360) x 2 x (22/7) x 14 = (5/24) x 88 = 55/3 = 18.33 cm. Sector perimeter equals arc length plus two radii: 18.33 + 28 = 46.33 cm (or 46 and 1/3 cm).
List (iv) {0, 1, 2, 3} is the correct sample space because three tossed coins can yield 0, 1, 2 or 3 heads. The other lists either omit possible outcomes or include an impossible outcome.
The number of neutrons equals 197 minus 79, which is 118. In an electrically neutral atom, the number of electrons equals the number of protons, so there are 79 electrons.
The word PEACE has 5 letters: P, E, A, C, E. (i) Letters P, E, C occur 4 times, giving probability 4 / 5 = 0.8. (ii) Non-E letters are P, A, C (3 letters), giving probability 3 / 5 ...