Please, fill out the information below to continue. NAME EMAIL PHONE NUMBER 1. What is the probability of throwing a number greater than 2 with a single in a fair die2/31/21/34/52. Simplify without calculator: log_{6}(216) + [ log(42) - log(6) ] / log(49)3/27/25/21/23. Neeraj has agreed to mow a lawn, which is a 20 m × 40 m rectangle. He mows it with 1 m wide strip. If Neeraj starts at one corner and mows around the lawn toward the centre, about how many times would he go round before he has mowed half the lawn?3.52.543.84. Evaluate: 1/331.261.825. A regular hexagonal prism has its perimeter of bases as 144 cm and height 120 cm. It contains water upto a height of 110 cm. A spherical ball of diameter of 35 cm is dropped into it due to which the level of water rises and some water flows out. Find the volume of water that flows out.11000 cc9000 cc2000 cc7500 cc6. No. of goals 0 1 2 3 4 5Frequency 5 6 12 10 2 1If cF(x) is the number of goals less than or equal to x, then cF(1) and cF(3) are, respectively11, 2311, 336, 105, 237. For any value of θ, the value ofis2sin²θcos²θ18. A bag contains 6 red balls, 9 blue balls and 5 green balls.Two balls are chosen one after the other with replacement. What is the probability that one is blue, the other is green?19/10027/1009/1007/509. If (x - 3) < x/3,then x isx < 3x < 9/2x < 9x > -910. The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm^{2}. Find angle T in degrees.64°34.8°55.2°12.3°11. A ship leaves port A and sails on a bearing of 040°. After 15 km the ship changes direction and sails on a bearing of 070°. If the ship sails a distance of 25 km on this bearing, find the distance of the ship from port A21 km38.7km34 km3.2km12. If m and n are the lengths of the diagonals of a rhombus of side x, andm² + n² = kx², the value of k is142313. Differentiate the function wrt x:7x + √x³4 + √xx³7 + 3√x/27√x14. By solving equation a = 2 - 9a, value of a will be1⁄21⁄52⁄52⁄315. Find the derivative of h(x) =8x-8x-¹4x-¹3-2x-¹3x-216. Evaluate:-11-2217. A farmer has decided to build a wire fence along one straight side of his property. For this, he planned to place several fence-posts at 6 m intervals, with posts fixed at both ends of the side. After he bought the posts and wire, he found that the number of posts he had bought was 5 less than required. However, he discovered that the number of posts he had bought would be just sufficient if he spaced them 8 m apart. What is the length of the side of his property and how many posts did he buy?120 m, 16100 m, 15120 m, 15100 m, 1618. The difference between 0.003286 correct to three significant figures and 0.003286 correct to four decimal places is0.00030.0000040.000010.00010.0000919. John was 40 years old in 1995 while his father was 65. In what year was John exactly half his father's age?199019801985197820. Differentiate the function wrt x:y = x(x³+7)2x+7x²+7x³x³+721 out of 20Time is Up!