All Questions ⁺⁰237827 Questions

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The circumference of a circle is C inches. The diameter of the circle is 19 inches. Which expression best represents the value of ?

The circumference of a circle is C inches. The diameter of the circle is 19 inches. Which expression best represents the value of π ?

Guest Feb 9, 2023

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165

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Counting

Help I need this

Find the number of ways of arranging the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 in a row so that the product of any two adjacent numbers is even or a mutliple of 3

Guest Feb 9, 2023

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183

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Probability

Help meee hard problems

Valeria has three coins, each of which has a probability of 1/2 of coming up heads. On her first turn, she flips all three coins. If all three come up heads, then she stops. Otherwise, for her second turn, read more ..

Guest Feb 9, 2023

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164

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Counting

help how do you do this thing

In the olympic women's skating competition, the gold medal goes to first place, silver to second, and bronze to third. If there are skaters, including Americans, in how many ways can the medals read more ..

Guest Feb 9, 2023

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224

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Counting

How do I solve this

Find the number of paths from A to I, if each step must be in a right-ward direction. (For example, one possible path is A C D E F G H I)

Guest Feb 9, 2023

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169

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Counting

help how do I do this

I run a book club with n people, not including myself. Every day, for 100 days, I invite members in the club to review a book. What is the smallest positive integer n so that I can avoid ever having the exact read more ..

Guest Feb 9, 2023

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186

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Probability

A box contains 24 tiles. Each tile has certain properties:
Each tile is made of wood or plastic.
Each tile is red, yellow, or blue.
Each tile is a triangle, square, pentagon, or circle.
There is exactly one tile for each combination read more ..

Guest Feb 9, 2023

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170

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Probability

Help meee with this

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?

Guest Feb 9, 2023

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165

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Binomial Theorem

Help how to use 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 + ... read more ..

Guest Feb 9, 2023

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191

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Probability

Can anyone help with this?

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 read more ..

Guest Feb 9, 2023

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175

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Counting

This is a counting problem plz help

Syd chooses two different primes, both of which are greater than 10 and multiplies them. The resulting product is less than How many different products could Syd have ended read more ..

Guest Feb 9, 2023

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178

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Counting

I don't know how

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 read more ..

Guest Feb 9, 2023

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193

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System

Plz help with system question

Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a + 2b + 3c + 4d + 5e = 41 read more ..

Guest Feb 9, 2023

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173

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Counting

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 is shown below.

In read more ..

Guest Feb 9, 2023

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172

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Counting

Plz help I need

(a) In how many ways can you distribute 4 distinguishable balls among 3 indistinguishable boxes?
read more ..

Guest Feb 9, 2023

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173

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Function

I don't get this

Let F(x) be the real-valued function defined for all real x except for x = 1 and x = 2 and satisfying the functional equation
F(x) + F((2x - 3)/x) = x.
Find the function F(x) satisfying these read more ..

Guest Feb 9, 2023

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211

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Maths problems

Use the following formula to calculate a, if c = 20, d = 10 and e = 2.

a = (c – d)/2e read more ..

Guest Feb 9, 2023

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232

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A+MEAN+MEAN+MAN+A=CHEAT

A+MEAN+MEAN+MAN+A=CHEAT

Each distinct letter in this addition alphametic stands for a different digit. Find the value of CHEAT.

Guest Feb 9, 2023

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215

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Functions

For each of the following, determine if the function is increasing, decreasing, even, odd, and/or invertible on its natural domain:

1).
2).
3). read more ..

Guest Feb 9, 2023

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175

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Fractions

Help this is hard

Levans writes a positive fraction in which the numerator and denominator are integers, and the numerator is 1 greater than the denominator. He then writes several more fractions. To make each new fraction, he read more ..

Guest Feb 9, 2023

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176

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Geometry

Can someone draw the diagram?

Let ABC be a triangle, and let its angle bisectors be AD, BE, and CF, which intersect at I. If DI = 3, BD = 4, and BI = 8, then find the area of triangle ABC.

Guest Feb 9, 2023

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180

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Probability

How to use geometric 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 Feb 9, 2023

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175

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Sequence

Help how to do this

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?

Guest Feb 9, 2023

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