If \(K\sqrt{28}+\sqrt{63}-\sqrt{7}=0\), find K.
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92 questionsSimplify log\(_7\) 8 - log\(_7\) 2 + log\(_7\) 4.
The side of a rhombus is 10cm long, correct to the nearest whole number. Between what limits should the perimeter P lie?
A number is selected at random from 0 to 20. What is the probability that the number is odd prime?
The mean of four numbers is 5, and the mean deviation is 3. Find the fourth number if the mean deviation of the first three numbers is 2
If \(\frac{^6C_r}{^6P_r}\) = \(\frac{1}{6}\), find the value of r.
A student calculated the mean of 5 numbers as 45.3. While rechecking his working, he discovered that his total was short by 20.5. What is the correct mean of the 5 numbers?
The grades of 36 students in a class test are as shown in the pie chart. How many student has excellent?
The sectoral allocations to various ministries in a state budget are as follows:
Agriculture - N25,000,000.00
Education - N20,000,000.00
Women affairs - N35,000,000.00
Commercial and Industries - N20,000,000.00
Use a pie chart to represent this information. The corresponding angle to Agriculture is
In the diagram, EFGH is a cyclic quadrilateral in which EH || FG, EG, and FH are chords. If < FHG = 42º and < EFH = 34º, calculate < HEG.
The table above shows the frequency distribution of the ages (in years) of pupils in a certain secondary school. What percentage of the total number of pupils is over 15 years but less than 21 years?
If y = 3x\(^2\)(x\(^3\) + 1)\(^{\frac{1}{2}}\). Find \(\frac{\text{dy}}{\text{dx}}\)
Find the value of l in the frustrum above
If the standard deviation of the set of numbers 3, 6, x, 7, 5 is 2, find the least possible value of x.
Given that Q = \(\begin{pmatrix} 6 & 0 \\ 4 & 5 \end{pmatrix}\) and Q + P = \(\begin{pmatrix} 7 & -2 \\ 6 & 8 \end{pmatrix}\). Evaluate | Q + 2P|.
Three boys play a game of luck in which their respective chances of winning are \(\frac{1}{2}\), \(\frac{1}{3}\), and \(\frac{1}{4}\). What is the probability that one and only one of the boys wins the game?