Q and A for the topic: General

Two cards are drawn without replacement from an ordinary deck Find probability that the first is a face card, given that the second is not a face card

A sphere of radius 3 centered at (1,-1,a) where a>0, contains the point (0,0,1). Write the equation of the sphere

u=11i-11j b=8i-8j Find 10u - 4b

Prove the following identity tan^2(x)sin^2(x)=tan^2(x)-sin^2(x)

Óscar has a plot of land in which he has decided that 3/4 of the land will be used to plant vegetables. Of this part, 1/5 will be dedicated to planting lettuce. What total part of the plot's land will be used to grow lettuce?

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Use the substitution u=x^2+y^2 to solve 2yy’=x^2-2x

The cost of a fish dinner is $5.55. The fish dinner sold for $9.55. Determine the percent markup

199x(7782\25383)

Given the following utility function: 𝑈(𝑥) = 10𝑥2 + 2600𝑥 − 60000 where 𝑥 represents the number of items produced and sold. a) Determine the profit generated by producing and selling unit 101.

Dr ordered 15% strength solution to be prepared. How many grams of pure drug are needed to make 25 ml to make solution?

Nine grams of pure drug are in 100 ml of solution. What is the percent strength of solution?

Calculate the mass (in g) of 6.74x10^22 atoms of K.

Albert is preparing to tile his backsplash. The area is 25 1/2 inches by 10 3/4 feet. He is using 12 inches by 12 inches. How many tiles would he need to complete the backsplash?

Albert is preparing to tile the backsplash in his kitchen. The area is 24 1/2 inches by 10 3/4 feet. He is using 12 inches by 12 inches. How many tiles will Albert need to complete the backsplash?

If marks obtained by students in a class test is given as per below: 55 36 95 73 60 42 25 78 75 62 Then arrange the marks from lowest to highest

The Bauer family wants to build a house and needs to take out a loan of €120,000. They get offers for a possible loan agreement from two banks and receive the following information Bank A offers you to pay off the loan agreement in installments within 4 years at 3.4% per year Bank b offers to repay the loan amount within 3 years at 3.5% per year For each of the offers, calculate the annual remaining debt, repayments to be made, interest and annuity. Which offer is more attractive?

K(x)=0.02x^2+72 A. Set up the equation for the average costs B. Calculate the average costs C.set the marginal cost function to D. Calculate the marginal costs for 50 products E. At what quantity does one reach the operating optimum

1. Jarrid Medical, Inc., is developing a compact kidney dialysis machine, but the company's chief engineer, Mike Crowe, is having trouble controlling the variability in how fast the fluid moves through the kidney. the device. Medical standards require the flow per hour to be 4.25 liters, 98% of the time. Mr. Crowe performs tests on the prototype with the following results for each hourly flow test performed: 4.17 4.32 4.21 4.22 4.29 4.19 4.29 4.34 4.33 4.22 4.28 4.33 4.52 4.29 4.43 4.39 4.44 4.34 4.3 4.41 With the information obtained from the sample, it is necessary to find the confidence interval that reflects the expected flow per hour in 98% of the time of the developed compact machine and determine if it is satisfying the medical standards. Does the prototype satisfy medical standards? Present all the steps required to construct your confidence interval and an analysis that justifies your answer to the established question.

Convert 5679 mm to cm.