2000004308
Level:
C
The function \(f\) is graphed in the picture. Which of the following is its equation?
\( f(x) = \left|x^2-4x\right|\)
\( f(x) = \left|x^2+4x\right|\)
\( f(x) = \left|x^2\right|-4x\)
\( f(x) = \left|x^2\right|+4x\)
C
2000004307
Level:
C
The function \(f\) is graphed in the picture. Which of the following is its equation?
\(f(x) = \left|x^2-4\right|\)
\(f(x) = \left|x^2+4\right|\)
\(f(x) = \left|x^2-2\right|\)
\(f(x) = \left|x^2\right|+4\)
2000004204
Level:
C
Choose the function that has its graph shown in the picture.
\( f(x)=2-|\sin x|\)
\( f(x)=2+|\sin x|\)
\( f(x)=|\sin x|-2\)
\( f(x)=|\sin 2x|\)
2100004203
Level:
C
Which of the graphs is the graph of the function \(f(x)=|1+\cos x|\)?
2000004202
Level:
C
On the interval \( (-\frac{\pi}{2};\frac{\pi}{2})\), simplify the expression \(\frac{\sin 2x}{1 -\sin^2 x}\).
\( 2\ \mathrm{tg}\,x\)
\(\mathrm{tg}\,x\)
\( \mathrm{tg}^2\,x\)
\( 1-\mathrm{tg}\,x\)
2000004201
Level:
C
On the interval \( (0;\pi)\), simplify the expression \(\frac{2\sin x + \sin 2x}{2\sin x -\sin 2x}\).
\(\frac{1+\cos x}{1-\cos x}\)
\(\frac{1-\cos x}{1+\cos x}\)
\( 1+\cos x\)
\( 1-\cos x\)
2000003411
Level:
C
Two dice are thrown, white and red. What is the probability that the white dice shows three, if the sum on both dice is four?
\( \frac{1}{3}\)
\( \frac{1}{6}\)
\( \frac{1}{4}\)
\( \frac{1}{9}\)
2000003410
Level:
C
Today, there are \(11\) boys and \(9\) girls in the class, including Caroline. What is the probability of Caroline being examined if the teacher selects a girl?
\( \frac{1}{9}\)
\( \frac{1}{20}\)
\( \frac{9}{20}\)
\( \frac{9}{11}\)
2000003405
Level:
C
Statistics show that \(80\%\) of working women use a computer at work. Let’s randomly select two women from the group of working women. What is the probability that both women use a computer at work?
\( 0.64\)
\( 0.8 \)
\( 0.16 \)
\( 0.32\)
2010001406
Level:
C
All \(96\) children in the summer camp were to choose the chocolate champion - between milk chocolate and dark chocolate. At the end milk chocolate got \(30\) more votes than dark chocolate. \(26\) children couldn’t decide though and gave their votes to both chocolates. How many votes did dark chocolate get?
\(46\)
\( 76\)
\( 26\)
\( 82\)