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austin robles

austin r.

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A child education specialist wanted to study the number of correct words a child selected during an exercise, where the random variable X measures the number of correct words. The average number of correct words was found to be 7.92, compute the standard deviation. Number of Words (x) p(x) 6 0.02 7 0.36 8 0.32 9 0.28 10 0.02

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In this experiment, a mixture of three component will be used. We will separate the components using acid/base extraction, that is, a type of solvent extraction. Oa. False Ob. True

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Bill’s monthly income is $6,000. To meet the lender’s underwriting standards and qualify for the type of loan he wants, Bill’s housing expense to income ratio can’t exceed 28%. He can expect 15% of his monthly payment to go to property taxes and insurance. He’s planning to get a 30-year fixed-rate loan at the current market interest rate of 6%, and he’d like a loan with an 80% LTV. What is the maximum price he can pay for a house? Note: LTV means the loan to value ratio = loan amount $ / property values $. Also, assume that in the initial year (i.e., Year 1), a 100% loan payment is applied to the interest payment.

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A gas made up of homonuclear diatomic molecules escapes through a pinhole 1.59 times as fast as Clâ‚‚ gas. Write the chemical formula of the gas.

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Q.1 Fanta Company has budgeted overhead costs of $1,040,000. It has allocated overhead on a plantwide basis to its two products (wool and cotton) using direct labor hours which are estimated to be 520,000 for the current year. The company has decided to experiment with activity-based costing and has created two activity cost pools and related activity cost drivers. These two cost pools are: Cutting (cost driver is machine hours) and Design (cost driver is number of setups). Overhead allocated to the Cutting cost pool is $500,000 and $540,000 is allocated to the Design cost pool. Additional information related to these pools is as follows. Wool Cotton Total Machine hours 100,000 100,000 200,000 Number of setups 1,000 500 1,500 <Required> 1. Determine the amount of overhead allocated to the wool product line and the cotton product line using activity-based costing. 2. What is the difference between the allocation of overhead to the wool and cotton product lines using activity-based costing versus the traditional approach, assuming direct labor hours were incurred evenly between the wool and cotton?

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5. Apply a Prewitt operator to capture vertical change, only one direction, Gy, gradient is computed, to the following image with zero padding. Write out the Prewitt kernel 3x3 matrix, and fill in the values in the two spaces indicated in *. The output image is saved in 3-bit per pixel integer. Filter Image: 3 7 3 3 1 3 3 2 0 6 6 1 Output image * *

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A physics laboratory situated at an elevation of 1500 m wishes to shield against cosmic rays. What thickness of concrete (density = 1700 kg/m3) is required on the roof to give the same weight per square meter as 1500 m of air? Ignore any change in air density with altitude.

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A 0.49 kg hoop of radius 1.0 meter is pivoted on its rim so that it oscillates in its plane. Find the period of small amplitude oscillations of the hoop.

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(Q4) The number of punctures on a road near major building site is shown in the table Q4, where T is the time in months, elapsed since the beginning of the building work and P is the number of punctures on the road outside the site Table Q4: Puncture variation data Time, T (m) Puncture, P 2 72 3 86 5 125 7 179 8 214 9 257 a) Take natural logs and plot graphs in order to determine if the best fit model is of the form $P = ae^{kx}$ (exponential) or $P = ax^k$ (power curve), where P is the increase in the number of punctures and x is time (months). State reasons for your choice of model. (10 marks) b) Determine the equation of your best fit model and test that 2 values of time in the table above compare well with puncture increase. (10 marks) 20 marks total (Q5) Using Table Q4, determine an improved best fit equation using the least squares regression method and hence, determine the $R^2$ value. Comment on this value as a closeness of fit to the data. 15 marks total (Q6) Use MS Excel spreadsheet to produce the graph of the data in Table Q4. Check the equation and $R^2$ value given in your MS Excel agrees with your answers in question 'Q5' and explain the discrepancies (if any) 15 marks total

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A Carnot power cycle employing 1 lb of air as a working substance is presumed to operate between temperature limits of 600°F and 70°F. The pressure at the beginning and end of the isothermal expansion process are 510 psia and 170 psia, respectively. Determine the change of volume between the end of isentropic expansion and the end of isentropic compression

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