\(111101_{two}\)
\(11111101_{two}\)
\(1111101_{two}\)
\(11001_{two}\)
Correct answer is C
\((101_{two})^3\) = \((5_{ten})^3\)
5\(^3\) = 125
And 125 = \(1111101_{two}\)
For what value of x is \(\frac{4 - 2x}{x + 1}\) undefined.
2
-1
1
-2
Correct answer is B
A rational expression is undefined when the denominator is equal to zero.
when x = -1
The denominator in this equation : x + 1
--> -1 + 1 = 0
This expression is undefined when x = -1
The equation of a line is given as 3 x - 5y = 7. Find its gradient (slope)
\(\frac{5}{3}\).
\(\frac{3}{5}\).
\(\frac{-3}{5}\).
\(\frac{-5}{3}\).
Correct answer is B
the form y=mx+c
where m is the gradient and c is the y-intercept.
the equation to gives 5y=3x - 7.
divide both side by 5 the coefficient of y → \(\frac{3}{5}\)x - \(\frac{7}{5}\)
comparing this with the general equation y=mx+c,
you can see that m= the gradient= \(\frac{3}{5}\).
A man will be (x+10)years old in 8years time. If 2years ago he was 63 years., find the value of x
55
63
57
67
Correct answer is B
A man will be (x+10) years old in 8years time.
As at today, he is x + 2 years of age.
The man was 63 years old 2 years ago, so he is 63+2=65 now.
8 years from now, he will be 65+8=73.
He will be (x+10) years old when he is 73. So
x+10=73
x=73-10=63
A fair die is tossed twice what is the probability of get a sum of at least 10.
\(\frac{5}{36}\)
\(\frac{2}{3}\)
\(\frac{5}{18}\)
\(\frac{1}{6}\)
Correct answer is D
\(\begin{array}{c|c}
& 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
1 & 1,1 & 1,2 & 1,3 & 1,4 & 1,5 & 1,6 \\ \hline 2 & 2,1 & 2,2 & 2,3 & 2,4 & 2,5 & 2,6 \\ \hline 3 & 3,1 & 3,2 & 3,3 & 3,4 & 3,5 & 3,6 \\ \hline 4 & 4,1 & 4,2 & 4,3 & 4,4 & 4,5 & 4,6 \\ 5 & 5,1 & 5,2 & 5,3 & 5,4 & 5,5 & 5,6 \\ \hline 6 & 6,1 & 6,2 & 6,3 & 6,4 & 6,5 & 6,6\end{array}\)
From the table above, event space, n(E) = 6
sample space, n(S) = 36
Hence, probability sum of scores is at least 10, is;
\(\frac{n(E)}{n(S)}\)
= \(\frac{6}{36}\)
= \(\frac{1}{6}\)