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Let h(sub n) denote the number of ways to perfectly cover a 1 by n board with monominoes and dominoes in such a way that no two dominoes are consecutive. Find, but do not solve, a recurrence relation and initial conditions satisfied by h(sub n)
Solve the problem on percentages
Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed.
A new drug cures 80% of the patients to whom it is administered. It is given to 25 patients. Find the probabilities that among these patients, the following results occur.
A line passes through the point (6, -6) and has a slope of -3. Write an equation for this line in (x, y) coordinates. Write equations for the vertical and the horizontal lines passing through the point (6, 1) in (x,y) coordinates.
A coin is flipped eight times where each flip comes up with either heads or tails how many possible outcomes?a) contain exactly 3 heads
What technique would be used to solve the differential equation: You do not have to solve the differential equations, just write what technique that you would use to solve them.
Probability- Considering Failure Rates, The records of Midwestern University show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics
Let p be a prime. Show that in the ring Z-p (set of integers modulo p) we have (a+b)^p = a^p+b^p for all a, b in Z-p. The following hint was given:
The inflection points and global extrema.
Probability problems based on normal distribution
The truth table and previously proven logical equivalencies
Correctly match each of the following descriptions to a graph below by inserting the letter of the description that correctly describes the graph in the open box under the graph. The graph has both an Euler circuit and a Hamilton circuit.
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