Question
The average of 25 values is 62. The average of the first
13 values is 60, and the average of the last 13 values is 65. If the 13th value is excluded, find the average of the remaining values (accurate to two decimal places).Solution
ATQ, The sum of 25 values = (25 × 62) = 1550 The sum of first 13 values = (13 × 60) = 780 The sum of last 13 values = (13 × 65) = 845 Now, The 13th value = [(780 + 845) – 1550] = (1625 – 1550) = 75 The 13th value = 75 Now, If the 13th value is excluded, The sum of remaining values = (1550 – 75) = 1475 The average of remaining values = (1475 ÷ 24) = 61.46
If p = 24 - q - r and pq + r(q + p) = 132, then find the value of (p² + q² + r²).
((99.9 - 20.9)² + (99.9 + 20.9)² )/(99.9 x 99.9 + 20.9 x 20.9) = ?
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Find the value of the given expression-
(4x+4 -5× 4x+2) / 15×4x – 22×4x
If 4x² + y² = 40 and x y = 6, then find the value
of 2x + y?
If p = 40 - q - r and pq + r(q + p) = 432, then find the value of (p² + q² + r²).
47.98 × 4.16 + √325 × 12.91 + ? = 79.93 × 5.91
If x + y = 4 and (1/x) + (1/y) = 24/7, then the value of (x3 + y3).
- If p = 20 - q - r and pq + r(p + q) = 154, then find the value of (p² + q² + r²).
If a = (√2 - 1)1/3, then the value of (a-1/a)3 +3(a-1/a) is:
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