Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24.
23.00
17.29
16.50
16.33
Correct answer is B
Mean \(= \frac{sum\hspace{1mm}of\hspace{1mm}all\hspace{1mm}the\hspace{1mm}numbers}{Total\hspace{1mm}Number}\\
\frac{9+13+16+17+19+23+24}{7}\\
\frac{121}{7}=17.2857=17.29\)
Solve the equation 10-3x-x2 = 0
x=2 or-5
x= -2 or 5
x = 1 or 10
x = 2 or 5
Correct answer is A
10 – 3x - x2 = 0; 10 – 5x + 2x - x2 = 0
5(2 – x) + x(2 – x) = 0; (2 – x)(5 + x) = 0
2 – x = 0 or 5 + x = 0; x = 2 or x = -5
Each interior angle of a regular polygon is 108°. How many sides has it?
5
7
9
14
Correct answer is A
The exterior angle of the polygon = 180 – 108 = 72°. The sum of exterior angle of the regular polygon = 360°
The number of sides \(=\frac{360}{72}=5\)
Find the next two terms of the sequence 1, 5, 14, 30, 55, ...
61,110
67,116
81,140
91,140
Correct answer is D
\(1 + 2^2 = 5 + 3^2 = 14 + 4^2 = 30 + 5^2 = 55\)
\(55 + 6^2 = 91 + 7^2 = 140\).
91, 140 are the next two terms.
lf \(log_q p= r\), express p in terms of q and r
p =qr
p =rq
\(p = \frac{r}{q}\)
p=qr
Correct answer is D
If \(log_q p\) = r convert from logarithm to indices
P = q\(^r\)