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A rectangular field Is 35m longer than it's width. The length of the perimeter is 290m. Create a linear system to model the situation?
a small purse is full of coins. if you count them by twos, threes, or fives, there is one left. if you count them by sevens there will be none left. how many coins are in the purse?
Water is flowing at the rate w of into a tank in the form of a cone of altitude h and base radius and with its vertex in the downward direction. How fast is the water level rising when the water is a certain depth x ?
Provide one example to show how you can use the Expected Value computation to assess the fairness of a situation (probability experiment). Provide the detailed steps and calculations.
Estimate the mean fill amount of a certain bottle-filling machine to within 0.05 liter. Assume that the population standard deviation is 0.17 liters. How large of a sample is needed to estimate the mean with 95% confidence?
Determine if the following chemical equation is a kinetically paced reaction: 4NO + 4NH3 + O2 = N2 + 6H2O In other words, is there a kinetic rate equation that can be presented simply that defines the pace of the above reaction
Suppose that the monthly mortgage payments of all homeowners have a normal distribution. What is the mean monthly mortgage paid by all homeowners?
What are the four categories of financial ratios? Choose one category (excluding liquidity ratios) and list and describe the various ratios in that category. What do the calculated numbers mean for these ratios?
A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.)
Consider replacing the switch in (a) with a 3×3 output-buffered switch as shown in Figure 2, where each output buffer can store up to 4 packets. Design a Markov chain to find the throughput and packet loss rate of this switch for offered load r0= ..
An initial population of 655 quail increases at an annual rate of 18%. Write an exponential function to model the quail population.
Verify that the sine curve has equation y=sin(πx/7) and find the width w of a flat metal sheet that is needed to make a 28 in panel.
If a one person household spends an average USD 730 per week on groceries, calculate the minimum dollar amount spent per week for the middle 40 percent of one person households. Suppose that the standard deviation is USD 104 and the variable is norma..
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