Two fair coins are tossed at the same time. what is the probability of getting a head?
1
\(\frac{3}{4}\)
\(\frac{1}{2}\)
\(\frac{1}{3}\)
\(\frac{1}{4}\)
Correct answer is E
No explanation has been provided for this answer.
If t varies inversely as the cube of s, and t = 24, when s = 3, find t when s = 2
8
24
27
81
648
Correct answer is D
No explanation has been provided for this answer.
85.7°
47.5°
41.4°
38.2°
Correct answer is B
using cosine rule,
\(cos\theta\) = \(\frac{28^2 + 15^2 - 21^2}{2\times28\times15}\)
= \(\frac{568}{840}\)
\(\theta = cos^{-1}\)
= 47.5°
If sin θ = 4/5 where 0° ∠ θ ∠ 900, what is the value of cos θ + tan θ?
\(\frac{14}{15}\)
\(\frac{29}{15}\)
\(\frac{13}{8}\)
\(\frac{144}{15}\)
\(\frac{24}{5}\)
Correct answer is B
No explanation has been provided for this answer.
-\(\frac{17}{36}\)
-\(\frac{3}{28}\)
\(\frac{31}{28}\)
\(\frac{17}{36}\)
\(\frac{1}{4}\)
Correct answer is C
(\(\frac{1}{343}\))\(^{\frac{1}{3}}\) + (64)\(^{-\frac{1}{3}}\) - \(\frac{4}{9}\)\(^{-\frac{1}{2}}\)
where \(343 = 7^3, 64 = 2^6, 4 = 2^2, 9 = 3^2\)
\(7^{-3}\) \(^{\frac{1}{3}}\) + \(2^6\) \(^{\frac{-1}{3}}\) - \(\frac{2^2}{3^2}\) \(^{\frac{-1}{2}}\)
\(7^{-1} + 2^{-2} - (\frac{2}{3})^{-1}\)
\(\frac{1}{7} + \frac{1}{4} - \frac{3}{2}\)
\(\frac{4+7-42}{28}\)
\(\frac{31}{28}\)