All Questions ⁺⁰231343 Questions

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103

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Probability

Plz help with 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 read more ..

Guest Feb 4, 2023

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93

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Geometry

Need help with triangles

In triangle ABC, the angle bisector of angle BAC meets AC at D. If angle BAC = 60, angle ABC = 60, and AD = 24, then find the area of triangle ABC.

Guest Feb 4, 2023

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77

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Counting

I have counting problem

In a regular decagon, the sides are to be colored with five different colors, so that sides are diametrically opposite have the same color. (Not all five colors need to be used.) One possible coloring read more ..

Guest Feb 4, 2023

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80

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Counting

Help need help

There are 18 padded chairs around a circular table, and the chairs are numbered from 1 through 18 . How many ways can five people take their seats, so that no two people are adjacent?

Guest Feb 4, 2023

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96

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Geometry

Need help with geo

Let ABC be a right triangle, and let H be the point on side AB so that CH is perpendicular to AB. Prove that (x + h)^2*(y + h)^2 = (a + b)^4.
read more ..

Guest Feb 4, 2023

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84

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Algebra

Help I need help

Let S be the set of all real numbers of the form read more ..

Guest Feb 4, 2023

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95

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Counting

How do you get this

In how many ways can you distribute 10 indistinguishable balls among 8 distinguishable boxes, if at least one of the boxes must be empty?

Guest Feb 4, 2023

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87

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System

I need help with system

For a certain value of k, the system
x + y + 3z = 10 read more ..

Guest Feb 4, 2023

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96

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Probability

Help I need the answer quick

My sock drawer contains two red socks, two white socks, and two blue socks. For three days in a row, I pull out two socks out of my sock drawer at random. What is the probability that I get read more ..

Guest Feb 4, 2023

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79

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Constant term

Need help finding the constant term

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

Guest Feb 4, 2023

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111

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Counting

I need help here

Six children are each offered a single scoop of any of 3 flavors of ice cream from the Combinatorial Creamery. In how many ways can each child choose a flavor for their scoop of ice cream so that each flavor of ice read more ..

Guest Feb 4, 2023

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88

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Probability

Help with this needed

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 Feb 4, 2023

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88

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Counting

Help plz for this

There are 97 students in South High School. South High School offers only Chinese and Spanish. There are more students in Chinese than in Spanish, and every student takes at least one language. If students read more ..

Guest Feb 4, 2023

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85

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Counting

Plzz help mee

A debate team consists of 5 freshmen and 4 sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so at least two of the sophomores are standing next to each other, and at least read more ..

Guest Feb 4, 2023

Feb 3, 2023

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89

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Triangles

Help with triangles plz

Triangle ABC is a right triangle with angle BAC= 90 degrees and angle B > angle . Suppose AP is an altitude of the triangle, AQ is an angle bisector of the triangle, and AR is a median of read more ..

Guest Feb 3, 2023

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85

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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 Feb 3, 2023

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