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What is the value of C(15,4) is:
a) 1 365
b) 36 036
c) 3 003
d) 32 760
The number of combinations of 9 items taken 4 at a time is:
a) C(4,9)
b) C(9,4)
c) P(9,4)
d) C(9,3)
For a Data Management quiz, the teacher will choose 11 questions from the 15 in a set of review exercises. How many different sets of questions could the teacher choose?
a) 32 760
b) 165
d) 1 365
If all 14 people at a party shake hands with everyone else at the function, the total number of handshakes is:
a) 91
b) 28
c) 90
d) 16 384
In how many ways can a 12-member jury be chosen from a pool of 22 citizens?
a) 2 640
b) 646 646
c) 3 628 800
d) 479 001 600
Consider the function f(x, y) = 4√(x2 + y2). Find the gradient vector of the function at the point (1, 1). Find the equation of the tangent plane at the point (1, 1)
Simplify.2 8 8 (ab ) (a b ) =The 2 is above and to the right of the b. the 8 is above the right of the a. The other 8 is above the right of the b.
given a two-digit number make a three-digit number by putting a 6 as the right-most digit. then add 6 to the resulting
a in electron-volts how much work does an ideal battery with a 12.0 v emf do on an electron that passes through the
Why is it sufficient to define a quadratic function in terms of a, b, and c? f(x) = ax^2 +bx +c. Present at least two different ways of graphing quadratic functions. Please show detailed work.
The population of a city is 50,000 in 2008 and is growing at a continuous yearly rate of 4.5%. Give the population of the city as a function of the number of years since 2008. Sketch a graph of the population against time.
Some types of worms have a remarkable ability to live without moisture. The following table from one study shows the number of worms surviving after x days without moisture.
Does either player have a dominant strategy? Is there a Nash equilibrium in this game? Explain. Why is this game called a cooperative game?
Explain why vectors QR and RQ are not equivalent.
What is the average weekly change in your running time?
The programming team needs to understand the parameters for the game, in order to start coding it. Explain any restrictions to the domain and range of your sequences
What is the area of the square
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