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237643 Questions
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143
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need help
A stick is broken at two points, at random. If the length of the stick is 6, then what is the probability that all three resulting pieces are shorter than 3 units?f
Guest
Jan 14, 2023
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166
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Binomials
For nonnnegative integers a and b, where a >= 2 and b >= 2, simplify
binom{a + b}{2} + binom{2a + b}{2} + binom{a + 2b}{2} - binom{a - b}{2}
Guest
Jan 14, 2023
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161
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plz help
A median of a triangle is a line segment joining a vertex of a triangle to the midpoint of the opposite side. The three medians of a triangle are drawn below.
Note that the three medians appear to intersect at the same point! Let's
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Guest
Jan 14, 2023
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169
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Counting question
Each unit square of the 4 x 4 grid below is to be filled in with the number 1, 2, 3 or 4 so that
* each row contains the numbers 1, 2, 3, and 4 in some order
* each column contains the numbers 1, 2, 3 and 4 in some order
* each 2
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Guest
Jan 14, 2023
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158
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arrangements
In how many ways can the numbers 1 through 5 be entered once each into the five boxes below so that all the given inequalities are true?
Guest
Jan 14, 2023
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162
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Expected value
Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have a 5 on them.
(a) What is the expected value of the number shown when we draw a single slip of
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Guest
Jan 14, 2023
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152
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help counting
There is a group of five children, where two of the children are twins. How many ways can I distribute 10 identical pieces of candy to the children, if the twins must get an equal amount of candy?
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Jan 14, 2023
Jan 13, 2023
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163
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Probability
We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other. An example of a bow-tie quadrilatera is shown below. distinct points are chosen on a circle. We draw all chords that connect two of these
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Jan 13, 2023
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168
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Probability
Let PQR be an equilateral triangle, centered at O. A point X is chosen at random inside the triangle. Find the probability that X is closer to O than to any of the sides. (In other words, find the probability that XO is
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Guest
Jan 13, 2023
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159
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help probability
Four points W, X, Y, and Z are chosen at random on a circle. Find the probabiity that WX > YZ.
Guest
Jan 13, 2023
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175
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Sequence
Cai writes down the list of positive integers, excluding squares and cubes and all perfect powers. His sequence starts
2, 3, 5, 6, 7, 10, 11, ...
What is the 100th term in Cai's list?
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Guest
Jan 13, 2023
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155
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Conic Sections
The end points of a diameter of a circle are (6,2) and (-2,5).
What is the standard form of the equation of this circle?
Enter any fractions as simplifies fractions.
Guest
Jan 13, 2023
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157
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Probability
A member of the junior varsity swim team will be elected as President. Each member is equally likely to be elected. The probability that a sophomore is elected is the probability that a freshman is elected. Everyone on the junior varsity
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Guest
Jan 13, 2023
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165
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Binomials
Find the positive integer n such that the expansion of (4x - 7y)^n contains a term of the form cx^2*y.
Guest
Jan 13, 2023
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193
1
Alex is a writer who writes
Alex is a writer who writes poems and short stories. For an upcoming writer's workshop Alex is getting paid to write some new works. He earns $100 for each poem and $250 for each short story he writes for the workshop. Alex figures that each poem will
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Guest
Jan 13, 2023
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162
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Binomials
For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are
1 + 10x + 150 x^2 + cx^3 + ...
Find c.
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Jan 13, 2023
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208
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Counting question
We want to divide 10 dogs (including Fluffy and Nipper) into three groups, one with 3 dogs, one with 5 dogs, and one with 2 dogs. How many ways can we form the groups such that Fluffy is in the 2-dog group and Nipper is in the
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Jan 13, 2023
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226
5
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must be a percentage(%)
During bowling practice, Marley rolled 14 strikes out of 70 attempts.
What percent of Marley’s attempts were strikes? must be a percentage(%)
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LIzzie6348
Jan 13, 2023
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200
1
During bowling practice, Marley rolled 14 strikes out of 70 attempts. What percent of Marley’s attempts were strikes?
During bowling practice, Marley rolled 14 strikes out of 70 attempts.
What percent of Marley’s attempts were strikes?
( the answer has to be a percentage)
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Guest
Jan 13, 2023
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165
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what is 2+2 and 2+2=2
what is 2+2 and 2+2=2
Guest
Jan 13, 2023
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170
1
Regular hexagon $ABCDEF$ is divided into six smaller equilateral triangles, such as $\triangle ABG$, shown in boldface in the diagram. By co
Regular hexagon is divided into six smaller equilateral triangles, such as , shown in boldface in the diagram. By connecting every other vertex, we obtain a larger equilateral triangle , also shown in boldface. Compute the
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Guest
Jan 13, 2023
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