Find the value of x for which \(\frac{x - 5}{x(x - 1)}\) is defined
0 or 5
-5 or 5
-11 or 5
0 or 1
Correct answer is A
The expression \(\frac{x - 5}{x(x - 1)}\) is defined whten
x(x - 5) = 0.38
either x = 0 or x - 5 = 0
Hence, x = 0 or x = 5
The total surface area of a hemispher is 75\(\pi cm^2\). Find the radius.
5.0 cm
7.0 cm
8.5 cm
12.0 cm
Correct answer is A
Total surface area of hemisphere is
3\(\pi r^2\) = 75\(\pi cm^2\)
\(r^2\) = \(\frac{75 \pi}{3 \pi}\)
\(r^2\) = 25
r = \(\sqrt{25}\)
r = 5cm
\(\frac{3}{25}\)
\(\frac{1}{5}\)
\(\frac{6}{25}\)
\(\frac{2}{5}\)
Correct answer is D
No. of teams that scored at most 3 goals = 3 + 1 + 6 = 10
Hence, probability that a team selected at random scored at most 3 goals
= \(\frac{10}{25}\) = \(\frac{2}{5}\)
\(\frac{9}{25}\)
\(\frac{1}{5}\)
\(\frac{6}{25}\)
\(\frac{2}{5}\)
Correct answer is A
Prob. (team scored 4 goals) = Prob. (team scored 7 goals) = \(\frac{3}{25}\)
Hence, probability that a team selected at random scored either 4 or 7 goals;
= \(\frac{6}{25} + \frac{3}{25}\)
= \(\frac{9}{25}\)
The mean of 1, 3, 5, 7 and x is 4. Find the value of x
2
4
6
8
Correct answer is B
Mean = \(\frac{\sum x}{n}\)
4 = \(\frac{1 + 3 + 5 + 7 + x}{5}\)
4 x 5 = 16 + x
20 - 16 = x
4 = x
x = 4