B

1003029401

Level: 
B
Wooden boards were expected to be cut to the same length. After their cutting the resulting measured lengths are: \( 2{.}00;\ 2{.}02;\ 2{.}05;\ 2{.}02;\ 2{.}08;\ 2{.}11 \) (in meters). We use the standard deviation of board lengths to describe (quantify) the accuracy of cutting. Find the standard deviation of board lengths rounded to four decimal places.
\( 0{.}0382\,\mathrm{m} \)
\( 0{.}0381\,\mathrm{m} \)
\( 0{.}0014\,\mathrm{m} \)
\( 0{.}0015\,\mathrm{m} \)

1103040105

Level: 
B
A parabola is given by the picture. What is the parameter of this parabola?
The distance of the point \( F \) from the line \( d \)
The distance of points \( V \) and \( F \)
A half of the segment \( DV \)
Two times the distance of the point \( F \) from the line \( d \)

1103040104

Level: 
B
The picture shows a hyperbola drawn in the rectangular coordinate system. What is the eccentricity of this hyperbola?
The distance of points \( S \) and \( F \)
The distance of points \( S \) and \( A \)
The distance of points \( A \) and \( B \)
The distance of points \( E \) and \( F \)

1003024101

Level: 
B
The equation of a hyperbola with the center \( S=[-1;3] \), the focus \( F=[4;3] \), and the vertex \( A=[2;3] \) is given by:
\( \frac{(x+1)^2}{9}-\frac{(y-3)^2}{16} =1 \)
\( \frac{(x-1)^2}{9}-\frac{(y+3)^2}{16} =1 \)
\( \frac{(x+1)^2}{9}+\frac{(y-3)^2}{16} =1 \)
\( \frac{(x-1)^2}{16}-\frac{(y+3)^2}{9} =1 \)
\( \frac{(y-3)^2}{16}-\frac{(x+1)^2}{9} =1 \)