12.00%
11.00%
10.71%
0.12%
Correct answer is A
Error = (16.8cm - 15cm = 1.8cm\)
\(\text{% error} = \frac{1.8}{15} \times 100% = \frac{180}{15}\)
= \(12.00%\)
Convert 3.1415926 to 5 decimal places
3.14160
3.14159
0.31415
3.14200
Correct answer is B
3.1415926 \(\approxeq\) 3.14159 (to 5 d.p)
13135
21315
43025
11035
Correct answer is A
\(3310_{5} - 1442_{5} = 1313_{5}\)
You can either do a direct subtraction (which is easier), or convert both numbers in base 10, subtract and convert back to base 5 (if you're not sure).
Find the standard deviation of the following data -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
2
3
\(\sqrt{10}\)
\(\sqrt{11}\)
Correct answer is C
x = \(\frac{\sum x}{N}\)
= \(\frac{0}{11}\)
= 0
\(\begin{array}{c|c} x & (x - x) & (x - x)^2 \\\hline -5 & -5 & 25 \\ -4 & -4 & 16 \\-3 & -3 & 9 \\ -2 & -2 & 4 \\ -1 & -1 & 1\\ 0 & 0 & 0\\ 1 & 1 & 1\\ 2 & 2 & 4\\ 3 & 3 & 9\\ 4 & 4 & 16 \\5 & 5 & 25\\ \hline & & 110\end{array}\)
S.D = \(\sqrt{\frac{\sum(x - x)^2}{\sum f}}\)
= \(\sqrt{\frac{110}{11}}\)
= \(\sqrt{10}\)
\(\frac{5}{11}\)
\(\frac{1}{2}\)
\(\frac{6}{11}\)
\(\frac{7}{10}\)
Correct answer is C
n(even numbers between 10 and 20 inclusive) = 6
n(numbers between 10 and 20) = 11
P(even) = \(\frac{6}{11}\)