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Of the 25 animals at animal shelter, 15 are dogs. Two animals are selected at random. Determine exact odds that both are dogs?
One thousand raffle tickets are sold for $2.00 each. One grand prize of $700 and two prizes of $100 each will be awarded. Tim buys one ticket. Determine the expected value.
Determine and equation of form y = asinwt which provides distance of the mass from its rest position as the function of time.
Every day adding $1000 to amount on previous day, that offer must they take? How much would they make under every arrangement? You should verify the conclusions mathematically.
When the circular plate of metal is heated in the oven, its radius increases at the rate of 0.04 cm/ min. At what rate is plate's area increasing if radius is 48 cm?
Consider S be triangle with vertices A=(1,2), B=(4,1), and C=(2,4). Utilize vectors to determine the following length of the shortest side of S.
Utilize the following vectors to reply the question. A= (-√3,1), B=(√3,1), C=(3,√3) D=(1,-√3). Determine A x B. Determine (2A x D)C.
In how many different methods can top seven new indie bands ranked on top seven list? Top hit song for each of seven bands will compete to get monetary awards of $50, $100, $250, $500, and $1000.
Cesium 137 has the half life of 30 years. Originally we have ten gms. Find how long will it take for there to be 0.001 gm remaining?
Demand function for the office supply company's line of plastic rulers is : p= 0.42-0.0021q, where "p" is price in dollar when "q" units are demanded per day by customers.
Total interest at end of one year was equivalent to 4.5% rate on entire $120,000. How much was invested at each rate?
You hear the crack of thunder and eight seconds later the friend hears crack. Determine the equation which provides possible places where lightning could have happened.
Find maximum height that weight rises above equilibrium position When weight first reaches its maximum height compute and interpret s(1.3).
The speedometer of the Honda CR-V is developed to be accurate with tires of radius 14 in. Determine number of rotations of the tire in 1 hr if car is driven at 55 mph.
Reduce coefficient matrix of system to row echelon form. Utilizing r.e. form attained determine, all values of the such that the provided system has nontrivial solutions.
Find number of hamburgers and chicken sandwiches can be made with 35 minutes is spent on cooking and 25 minutes on preparing the sandwiches?
how much of drug will be in bloodstream after second dose is administered? eight hours after first dose? 10 hours after first dose? Before third dose is administered?
Write tangent of the base angle of the triangle. If this helps, base angle is one of two angles, so angles that is equal to each other.
Draw the set of coordinate axes, using same scale for both axes. Plot R and sketch graph of T. Clearly label with the coordinates points A and B at which T crosses x axis and y axis respectively.
The box weighing 67 lb is hanging from end of the rope. Box is pulled sideways by the horizontal rope with the force of 29 lb. What angle, to nearest degree, does first rope make with vertical?
The random sample of 26 listings in Baltimore resulted in the sample mean price of $184,500 with the sample standard deviation of $1,750. At the 5% level of significance, test to find if there is an
The person is going to pay off the loan of $20,000 over five years in equal monthly payments. Interest rate is 9% per year compounded monthly. How much interest will person have paid during 1st year?
The person plans to put $500 per quarter into the retirement account paying interest at nominal annal rate of 4% compounded quarterly.
The ball is selected at random. Find probability that it is even or less than 10. 5 balls are selected at random without replacement. Find probability that sum of the numbers on balls will be even.
From one point angle of elevation of top of rock is 16.7°. From the point 168 m closer to rock, angle of elevation is 24.1°. Determine the height of inception rock?