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An over temperature warning system has five temperature sensors. To prevent false alarms, the system is designed so that three or more of the sensors must sense over temperature before a warning signal is given. Assume that the probability of any single sensor failing is equal likely and that three sensors are in a failed state. However, as the inspector, you are not aware of the failed sensors.
If three sensors are selected at random for inspection, what is the probability that the system will be found in a failed state? Please explain equation used and steps to solve the problem.
The amounts on the arcs represent the maximum daily amount sofwater that can flow across the network in thousand sofgallons. Determine the maximum amount of water that can flow through the system.
Paying off School Bonds. A school board issues bonds in the amount of $20,000,000 to be retired in 25 years. How much must be paid into a sinking fund at 6% compounded annually to pay off the total amount due?
Calculate the amount
What is the probability of picking 6 numbers out of 53 numbers and getting 4 out of 6 numbers correct?
Describe the span of the given vectors in terms of the coefficients x, y, z of a general vector b = (x,y,z) in the span. Write b as a linear combination of the given vectors.a1=(2,2,-2), a2=(4,6,-3), a3=(4,2,-5)
Find real numbers a and b such that a is not equal b but a^4 = b^4. Explain why this does not violate the third exponential function property in Theorem 2?
Calculate the rate, distance and time.
an insurance agent receives a base pay of 700. in addition she makes a commission of 8 of the polices she sells. how
the equation describes the value of an investment after years. for the investment give the initial value the continuous
Find a power series representation for f(x) = ln(1+x). What is the radius of convergence? Use part (a) to find a power series for f(x) = x ln(1+x).
Find the missing number
The table below is based on surveys of double-income families and the percent of men and women in these families who said they had the greater responsibility for various areas of the housework.
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