Correct Answer: D. Examination malpractice

Correct Answer: C. compliment

Explanation

The word 'reprimand' means to express to someone your strong official disapproval of them. The opposite of this would be to express approval or compliment. Therefore, the correct answer is 'compliment'.

Correct Answer: D. HCL

Correct Answer: B. a tragic flaw

Correct Answer: A. new and second hand shares

Correct Answer: A. Filtration

Explanation

(a)

1.Earth's rotation is the rotation of planet Earth around its own axis. Earth rotates eastward, in prograde motion. As viewed from the north pole star Polaris, Earth turns counterclockwise.

2.ForEarth to make one completerevolution around the Sun takes 365.24 days. This amount of time is the definition of one year. The gravitational pull of the Sun keepsEarth and the other planets in orbit around the star.

3.An equinox is commonly regarded as the instant of time when the plane of Earth's equator passes through the geometric center of the Sun's disk. This occurs twice each year, around 20 March and 23 September. In other words, it is the moment at which the center of the visible Sun is directly above the equator.

(b)Effects ofEarth's revolution include the seasons and variation in the length of days and nights. In addition torevolution, the tilt ofEarth's axis relative to its plane of orbit has a profoundeffect onEarth. At almost any given time, one hemisphere is tilted toward the sun, as the other is tilted away.

Correct Answer: (a) Offensive

Explanation

(a) 5b, 4g, 3y = 12 balls.

(i) p(all 3 balls have the same colour) = p(all 3 blue or all 3 green or all 3 yellow)

= \(\frac{5}{12} \times \frac{4}{11} \times \frac{3}{10} + \frac{4}{12} \times \frac{3}{11} \times \frac{2}{10} + \frac{3}{12} \times \frac{2}{11} \times \frac{1}{10}\)

= \(\frac{60}{1320} + \frac{24}{1320} + \frac{6}{1320}\)

= \(\frac{90}{1320} = \frac{3}{44}\)

(ii) Two balls of the same colour :

Sample space for selecting with restriction (2 blue 1 green or 2 blue 1 yellow or 2 green 1 blue or 2 green 1 yellow or 2 yellow 1 blue or 2 yellow 1 green)

Ways : \(^{5}C_{2} \times ^{4}C_{1} + ^{5}C_{2} \times ^{3}C_{1} + ^{4}C_{2} \times ^{5}C_{1} + ^{4}C_{2} \times ^{3}C_{1} + ^{3}C_{2} \times ^{5}C_{1} + ^{3}C_2} \times ^{4}C_{1}\)

= \(40 + 30 + 30 + 18 + 15 + 12 = 145\)

Selecting without restriction 3 balls out of 12 balls : \(^{12}C_{3}\)

= \(\frac{12!}{3! 9!}\)

= \(220\)

Probability = \(\frac{\text{selection with restriction}}{\text{selection without restriction}} = \frac{145}{220}\)

= \(\frac{29}{44}\)

(b)

Spearman's rank correlation cofficient:

= \(1 - \frac{6 \sum d^{2}}{n(n^{2} - 1)}\)

= \(1 - \frac{6(16)}{7(7^{2} - 1)}\)

= \(1 - \frac{2}{7}\)

= \(0.714\)

Correct Answer: D. lick