If the discriminant, b^2 — 4ac is positive (or > 0), then the solution will be two (2) distinct real solutions.
If the discriminant is positive ( > 0), there are 2 real solutions.
If the discriminant is = 0, there is 1 real repeated solution.
If the discriminant is negative (< 0), there are 2 complex solutions (but no real solutions).
First you have to find the area of the rectangular grid. The area of a rectangle is length•width.
So:
A= 20•12
A= 240cm
Then you need to convert 240cm into mm.
240cm is 2400mm.
Then you need to figure out how many triangles can fit into the rectangle if all the triangles have an area of 25mm. So you divide 2400 by 25.
2400:25= 96
So Alex can fit 96 triangles into the grid.
Answer:
13 < √181 < 14.
Step-by-step explanation:
The 2 square numbers either side of 181 is 169 ( = 13^2) and 14^2.
So the answer is
13 < √181 < 14
Answer: Expected number of tests = 5.013
Step-by-step explanation:
Define random variable X that marks the number of tests required for some certain
group. Observe that if the test is negative for all the people (which has probability 0.95), we make one and only one test. If some of the people is tested positive, we make ten additional tests for every person in that group separately. Hence, the expected number of tests will be for if they are all negative (1 test) and the case of at least one person testing positive (11 tests).
That Is,
E(X) = 1(0.95^10) + 11(1 - (0.95^10))
E(X) = 0.5987 + 4.414 = 5.013