All Questions ⁺⁰238007 Questions

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201

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Probability

Help meee!

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 18, 2023

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187

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Counting

I'm not getting anywhere with these:

Let n be a positive integer. Let k be a positive integer.
read more ..

Guest Jan 18, 2023

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188

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Distance

I can't the answer on this one.

What is the smallest distance between the origin and a point on the graph of y = 1/2*(x^2 - 8)?

Guest Jan 18, 2023

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178

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Binomials

Can anyone help?

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 18, 2023

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216

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Distributions

This is a problem from class.

Miyu is giving out 9 identical chocolates to her 7 friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets exactly 2 chocolates? read more ..

Guest Jan 18, 2023

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170

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Probability

Please help with this

Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?

Guest Jan 18, 2023

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212

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Probability

Help, I am stuck on this problem:

The following cards are dealt to three people at random, so that everyone gets the same number of cards. What is the probability that everyone gets a red card? There are three red cards and read more ..

Guest Jan 18, 2023

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191

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Differences

what is the difference between area and perimiter?

Guest Jan 18, 2023

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187

1

¿how can I divide 10 by 3 without get decimal?

¿how can I divide 10 by 3 without get decimal?

Guest Jan 18, 2023

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181

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Probability

A standard six-sided die is rolled twice. What is the probability that the product of the rolls is 3 or 12?

Guest Jan 18, 2023

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204

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+180

Composed Functions

Create two functions h(x) and j(x) so that the composed function (h ∘ j)(x) does not exist. Explain your answer.

DumbDude05 Jan 18, 2023

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231

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+180

If f(x) = log x – 4 and g(x) = 1/(x+4), for what value(s) of x is g(f(x)) undefined? Explain by making reference to the

If f(x) = log x – 4 and g(x) = 1/(x+4), for what value(s) of x is g(f(x)) undefined? Explain by making reference to the algebraic properties (do not graph).

DumbDude05 Jan 18, 2023

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196

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Counting question

In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color, and at lest three of the squares are red. How many ways are there to color the five squares?

Guest Jan 18, 2023

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182

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Binomial Theorem

(a) Simplify (n/k)/(n/(k - 1))

(b) For some positive integer n, the expansion of (1 + x)^n has three consecutive coefficients a, b, c that satisfy 1:8:28. What must n be?
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Guest Jan 18, 2023

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196

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Digits

Find the number of positive integers that satisfy the following conditions:
* Each digit is a 1 or a 2 or a 3
* The sum of the digits is 10

Guest Jan 18, 2023

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176

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Inequality

(a) Show that if a, b, c, d, e, f are nonnegative real numbers, then (a^2 + b^2)^2 (c^4 + d^4)(e^4 + f^4) >= 32abcdef.
(b) Show that if a, b, c, d, e, f are nonnegative real numbers, then (a^2 + b^2)(c^2 + d^2)(e^2 + read more ..

Guest Jan 18, 2023

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182

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Algebra

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and a^3 - 3ab^2 = 673. Find a - b.

Guest Jan 18, 2023

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176

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help with counting

(a) In how many ways can you distribute 4 distinguishable balls among 6 indistinguishable boxes?

(b) In how many ways can you distribute 4 indistinguishable balls among 5 distinguishable boxes?

Guest Jan 18, 2023

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188

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Probability

Triangle XYZ is equilateral, with O as its center. A point P is chosen at random. Find the probability that P is closer to point O than to any of the side lengths.

Guest Jan 18, 2023

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180

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help with system

Let a and b be real numbers such that a + b = 4 and a^4 + b^4 = 16.
(a) Find all possible values of ab
(b) Find all possible values of a + b
(c) Find all possible values of a and b

Guest Jan 18, 2023

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176

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Constant term

Find the constant term in the expansion of (2z - 1/(z*sqrt(z)) + 1)^4.

Guest Jan 18, 2023

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189

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Factoring

We are looking to factor 23x^2 + kx - 5 + x^2 - 3. Some values of k allow us to factor it as a product of linear binomials with integer coefficients. what are all such values of k?

Guest Jan 18, 2023

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