TIQ: A plane flies from point a to point b, then immediately flies back in the opposite direction. In which case will the total flight time be longer: when there is a constant wind (for example, blowing from point b to point a) or when there is no wind? Additional Question: What happens if the wind speed is equal to the speed of the plane?
MTQ: Two dice are rolled. Find the probability that the same numbers will appear on both dice. Answers: (0.1235; 0.028; 0.0277; 0.1667; 0.16)
MTQ: A random number generator generates a 5-digit number consisting of 0 and 1. Find the probability that the number generated is 10010. Answers: ( 0.0417; 0.0083; 0.0313; 0.0625; 0.0312)
MTQ: A linear transformation is defined in some basis as Ф = {{2, -1}, {-3, 5}} Find the sum of the components (sum of coordinates) of the point K (2; -6) after linear transformation Ф. Answers: (-11; 5; 10; -26; -18)
MTQ: The area under the graph of the function (between the x-axis and the graph of the function) on the interval from [-a, a] is 24. Find the value of the parameter a. Answers: (2.7774; 2; 1.5; 0.2; 1.7788)
MTQ: Find the value of the fastest increasing function in the point K (-1;1;0). f(x,y,z) = (3x + z^3)^2 + xy + yz + xz + (xy) ^2 / 2. Possible answers: (14; 18; 7; 19; 10)
MTQ: In the tournament in figure skating participate 2 participants from France, 3 participants from South Korea and 4 participants from Germany. Three competitors in the tournament have advanced to the finals. Find the probability that at least two of the finalists are from different countries. ( 0.7714; 0.9524; 0.4286; 0.9405; 0.7143)
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