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Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8.
The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set.
How many three-digit numbers can be formed from 32564 without repeating any of the digits?
The acres for rice, pineapple, cassava, cocoa, and palm oil in a certain district are given respectively as 2, 5, 3, 11, and 9. What is the angle sector for cassava in a pie chart?
The probability of a student passing any exam is 2/3. If the student takes three exams, what is the probability that he will not pass any of them?
The range of the data: k+2, k-3, k+4, k-2, k, k-5, k+3, k-1, and k+6 is
Find the mean of the data: 7, -3, 4, -2, 5, -9, 4, 8, -6, 12
The locus of a point P which is equidistant from two given points S and T is
Find the value of a if the line 2y - ax + 4 = 0 is perpendicular to the line y + (x/4) - 7 = 0
A solid hemisphere has a radius of 7 cm. Find the total surface area.
A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45°. if the distance between the hunter and the tree is 10.4 m, find the height of the tree.
Find the coordinates of the mid-point of x and y intercepts of the line 2y = 4x - 8
The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?
A bucket is 12 cm in diameter at the top, 8 cm in diameter at the bottom and 4 cm deep. Calculate its volume.
Find the equation of the set of points which are equidistant from the parallel lines x = 1 and x = 7
If tan θ = 4/3, calculate sin\(^2\) θ - cos\(^2\) θ.
A chord of a circle subtends an angle of 120° degrees at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.
If x varies directly as √n and x = 9 when n = 9, find x when n = (17/9)
The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... is
The binary operation * is defined on the set of integers p and q by p*q = pq + p + q. Find 2 * (3 * 4).