Which of the following is not a probability of Mary scoring 85% in a mathematics test?
0.15
0.57
0.94
1.01
Correct answer is D
The probability not scoring 85% is = 1 - pro(scoring 85%)
= 1 - \(\frac{85}{100}\) = 1 - 0.85
= 0.15
not scoring would be less than 1
The bearing of Y from X is 060o and the bearing of Z from Y = 060o. Find the bearing of X from Z
300o
240o
180o
120o
Correct answer is B
No explanation has been provided for this answer.
8.60m
7.51m
7.15m
1.19m
Correct answer is C
Tan 50o = \(\frac{h}{6}\)
h = 6 tan 50
= 6 x 1.1917
= 7.1505
= 7.15
If sin x = \(\frac{5}{13}\) and 0o \(\leq\) x \(\leq\) 90o, find the value of (cos x - tan x)
\(\frac{7}{13}\)
\(\frac{12}{13}\)
\(\frac{79}{156}\)
\(\frac{209}{156}\)
Correct answer is C
Sin x = \(\frac{5}{13}\)
0o \(\leq\) x \(\leq\) 90o, (cos x - tan x)
AC2 = AB2 + BC2
132 = 52 + BC2
169 - 25 + BC2
169 - 25 = BC2
144 = BC2
Cos x = \(\frac{Adj}{Hyp}\) = \(\frac{12}{13}\)
BC = \(\sqrt{144}\)
BC = 12
tan x = \(\frac{opp}{adj} = \frac{5}{12}\)
BC = 12
cos x - tan x = \(\frac{12}{13} - \frac{5}{12}\)
\(\frac{144 - 65}{156} = \frac{79}{156}\)
1cm
3cm
5cm
6cm
Correct answer is C
Volume of a cube with side a cm = a\(^3\)
a\(^3\) = 64 \(\implies\) a = 4cm
Base area of a cube = a\(^2\)
= 4\(^2\)
= 16 cm\(^2\)
\(\implies\) Base area of the cuboid = 16 cm\(^2\)
Volume of cuboid = Base area x height
80 = 16 x h
h = \(\frac{80}{16}\)
= 5 cm