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Simplify: \(\frac{1}{4}(2^n - 2^{n + 2}\))
Simplify \((\frac{3}{x} - \frac{15}{2y}) \div \frac{6}{xy}\)
Solve the equation: 3a + 10 = a\(^2\)
Factorize 3a\(^2\) - 11a + 6
For what value of y is the expression \(\frac{y + 2}{y^{2} - 3y - 10}\) undefined?
Simplify: \((\frac{1}{4})^{-1\frac{1}{2}}\)
Find the number whose logarithm to base 10 is 2.6025
Simplify: log6 + log2 - log12
The population of a village is 5846. Express this number to three significant figures
Find the volume of the figure
In the figure, PQRS is a square of sides 8cm. What is the area of \(\bigtriangleup\)UVW?
In the figure above, Find the value of x
A crate of soft drinks contains 10 bottles of Coca-cola, 8 of Fanta and 6 of sprite. If one bottle is selected at random, what is the probability that it is NOT a Cocacola bottle?
| No. defective per box | 4 | 5 | 6 | 7 | 8 | 9 |
| No. of boxes | 2 | 7 | 17 | 10 | 8 | 6 |
Find the percentage of boxes containing at least 5 defective bolts each
Fifty boxes each of 50 bolts, were inspected for the number which were defective. The following was the result
| No of defective per box | 4 | 5 | 6 | 7 | 8 | 9 |
| No. of boxes | 2 | 7 | 17 | 10 | 8 | 6 |
The mean and the median of the distribution are, respectively