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a) Find a formula for the sum of the any (n+1) consecutive entries in a geometric sequence.
b) Use Mathematical Induction to prove your formula is correct.
Two standarddice are rolled and the resulting numbers are multiplied together. What percent of the time will the product be an odd number?
Write a formula for the general term (the nth term) of each geometric sequence. Then use the formula for an find a7, the seventh term of the sequence
Out of these families, one is chosen at random. What is the probability that the chosen family has 1 girl?
a 34% solution is mixed with a 66% solution to produce 216 liters of a 42% solution. How many liters of each solution were mixed?
A balanced coin is tossed 12 times and heads appears each time. What is the probability that tails will appear on the next toss?
Given an LP problem in standard form, show that the set of all optimal feasible solutions to the LP forms a convex set detailed solution
An ant weighs 1 over 10 the weight of a crumb that it is carrying. Suppose the crumb weighs 3 over 100 Write an open number sentence to show the weight of the ant in grams How much does the ant way
Suppose I had a lemonade stand. When I charge $1, I sold 50 cups, when I raised the price to $2, I only sold 25 cups. Write an equation for the number of cups I sold as a function of the price i charged.
The diameter of a mason jar is 3 inches but can be as large as 3.03 inches and as small as 2.97 inches. Twenty five samples of mason jars are taken and it is discovered that these components have a grand mean of 3.01 inches and a standard deviatio..
Explain how you define the nodes xk that represent the dates above - Define a global interpolating polynomial Pr that passes through all data points given for the time of sunrise.
Sketch both graphs. Find and label the intersection points. Find the area between the graphs using integration. Give the full integral, including limits, in proper notation.
Graph the linear equation for the indicated values of the independent variable.Show this on a Graph as well as the formula
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