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Question: An ice cream parlor has 28 different flavors, 8 different kinds of sauce, and 12 toppings.
a) In how many different ways can a dish of three scoops of ice cream be made where each flavor can be used more than once and the order of the scoops does not matter?
b) How many different kinds of small sundaes are there if a small sundae contains one scoop of ice cream, a sauce, and a topping?
c) How many different kinds of large sundaes are there if a large sundae contains three scoops of ice cream, where each flavor can be used more than once and the order of the scoops does not matter; two kinds of sauce, where each sauce can be used only once and the order of the sauces does not matter; and three toppings, where each topping can be used only once and the order of the toppings does not matter?
A rancher has 400 feet of fencing and wants to build a corral that's divided into three equal rectangles. What length and width will maximize the area?
Let f be a non-negative monotone continuous function defined on the interval (0
Voltmeter is accurate 98% of its full scale reading. If the voltmeter reads 200V on 500V range, what is the absolute error? What is the percentage error of the reading in (i)
An ad for a computer printer stated that you could buy the printer for only $280.00, or 80 % of the original price . What was the original price of the printer?
Let A be the set of all ordered pairs of positive integers and R be the relation defined on A where (a, b) R (c, d) means that b - a = d - c. Then [(2, 4)] = ?
For each of the eight DES S-boxes, compute the bias of the random variable X2 ⊕ Y1 ⊕ Y2 ⊕ Y3 ⊕ Y4. (Note that the DES S-boxes map 6-bit input to 4-bit output and are therefore not invertible. But this should not concern you here.)
The 8.5 percent annual coupon bonds of the ABC Co. are selling for $1,179. The bonds mature in 12 years. The bonds have a par value of $1,000. If the tax rate is 30%, what is the after-tax cost of debt?
Larry and Michael scored a total of 48 points in the basketball game. If Michael scored twice the number of points Larry did, how many points did Larry score
What are the domain and range of f-1? What is the value of f-1(2)? Estimate the value of f-1(1) to the nearest tenth.
Carefully indicate the y and x-intercepts (if any). Also, the graph should clearly indicate for which values of x the graph of f is higher than the graph of g; for which values is the value of f higher than the value of h; etc.
A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by:f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0
A total of 255 tickets were sold for the school play. They were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
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