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Solve \(5^{2(x - 1)} \times 5^{x + 1} = 0.04\)
Subtract 16418\(_9\) from 18630\(_9\).
The cumulative frequency curve above shows the distribution of the scores of 50 students in an examination. Find the 36th percentile scores?
The histogram above represents the number of candidates that sat for Mathematics examination in a school. How many candidate scored more than 50 marks?
What value of x will make the function x(4 - x) a maximum?
| Marks | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| No. of students | 3 | 4 | 1 | 0 | 4 | 5 | 2 | 1 |
The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pass mark is 5?
In how many ways can 9 people be seated if 3 chairs are available?
In how many ways can a delegation of 3 be chosen from 5 men and 3 women. If at least 1 man and 1 woman must be included?
What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2?
5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k?
The probability of a student passing any examination is 2/3. If the students takes three examination, what is the probability that he will not pass any of them?
The pie chart above represents 400 fruits on display in a grocery store. How many apples are in the store?
| No. of Days | 1 | 2 | 3 | 4 | 5 | 6 |
| No. of students | 20 | 2x | 60 | 40 | x | 50 |
The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the term?
Evaluate ∫sec\(^2\)θ dθ?
The distance traveled by a particle from a fixed point is given as s = (t\(^3\) - t\(^2\) - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point?
If s = (2 + 3t)(5t - 4), find ds/dt when t = \(\frac{4}{5}\) secs
A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60º, find the width of the river?
Find the value of sin 45° - cos 30°
If y = 3 cos 4x, dy/dx equals?
What is the value of r if the distance between the point (4,2) and (1,r) is 3 units?