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An equilateral triangle with sides 10 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
You have to perform a reliability analysis of the downtime data.
A random sample of 30 households was selected from a particular neighborhood. The number of cars for each household is shown below. Estimate the mean number of cars per household for the population of households in the neighborhood. Give the 95% c..
Assuming that the breaking strengths are normally distributed, what is the probability that one randomly selected steel bar will have a breaking strength in the range from 241 to 252 pounds per square inch?
What does the final row of the augmented matrix in echelon form (the above description) tell you about the solution to the system of 5 linear equations?
Explain why a decision maker might feel uncomfortable with the expected value approach, and decide to use a non-probabilistic approach even when probabilities are available.
Imagine that a line on a Cartesian graph is approximately the distance y in feet a person walks in x hours. What does the slope of this line represent? How is this graph useful? Provide another example for your colleagues to explain.
Prove that any two universal (initial) objects in a category C are equivalent. Prove that any two couniversal (terminal) objects in a category C are equivalent.
calculate the variable costs of hand- made rocking chairs using the following information.
By a line, a great circle on the sphere is referenced. Is it still true that two points determine a unique line? Is it still true that two distinct lines either meet in a single point or do not meet at all?
An orange was measured and found to have a diameter of 9.8 cm. When peeled the average thickness of the peeling, t was 6.5 mm and the mass of the peelings was 110g.
For the following curve, find the vector equation of the tangent line at t0, and state the slope of the tangent line at t0. [Note that the slope of a vector v=(v1,v2) is v2/v1].
The equivalent impedance Z of two impedances Z1 and Z2 in parallel is given by the formula 1/Z = 1/Z1 + 1/Z2.
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