All Questions ⁺⁰230628 Questions

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Basic Probability with Combinations

Nine people sit down at random seats around a round table. Four of them are math majors, three others are physics majors, and the two remaining people are biology majors. What is the probability that all four math majors sit in consecutive seats? read more ..

TheMathCoder Apr 26, 2018

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990

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Distinguishability

Kim has 10 identical lamps and 3 identical tables. How many ways are there for her to put all the lamps on the tables?

TheMathCoder Apr 26, 2018

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2097

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Combinations with Restrictions

In how many ways can we choose 3 distinct letters of the alphabet, without regard to order, if we must choose 1 vowel (A, E, I, O, or U) and 2 consonants?

TheMathCoder Apr 26, 2018

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2263

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Constructive Counting

On the Saturday of a weekend softball tournament, Team A plays Team B and Team C plays Team D. Then on Sunday, the two Saturday winners play for first and second places while the two Saturday losers play for third and fourth places. There are no ties. One read more ..

TheMathCoder Apr 26, 2018

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Binomial Probability

The Cubs are playing the Red Sox in the World Series. To win the world series, a team must win 4 games before the other team does. If the Cubs win each game with probability and there are no ties, what is the probability that the Cubs will win read more ..

GingerAle ●●

TheMathCoder Apr 26, 2018

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544

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Functions

If f(x) is a function whose domain is [-1, 9] and g(x) = f(x^2), then the domain of g(x) is an interval of what width?

I think the answer is 81, but its wrong.

Guest Apr 26, 2018

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Counting and Probability

If % of four-digit numbers have a repeated digit (the repeated digits do not need to be adjacent), then what is ? Express your answer as a decimal to the nearest tenth.

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TheMathCoder Apr 26, 2018

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2298

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Binomial Probability

If the probability that a baby born in a certain hospital will speak in the next day is 1/4, what is the probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow?

TheMathCoder Apr 26, 2018

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1465

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+4609

help geometry

What is the sum of the lengths, in centimeters, of the two legs of a 30-60-90 right triangle, if the length of the hypotenuse is centimeters?

tertre Apr 26, 2018

0

2796

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+194

Help?

Two of the altitudes of an acute triangle divide the sides into segments of lengths 5,3,2 and x units, as shown. What is the value of x?

read more ..

Maplesnowy Apr 26, 2018

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3266

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Man, Casework Counting Really hates Me...

There are 8 sprinters in the Olympic 100-meter finals. Three of the sprinters are Americans. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded if at most one American gets a medal? read more ..

TheMathCoder Apr 26, 2018

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737

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Very hard question need help

The graph of the equation $y = \frac{x}{x^3 + Ax^2 + Bx + C}$, where $A,B,C$ are integers, is shown below. Find $A + B + C$.

Guest Apr 26, 2018

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886

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+273

W is the incenter XYZ

Would this also be 5?

read more ..

LaughingFace Apr 26, 2018

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983

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It won't let me type this in for some reason, I don't know how to insert the fractions!

Again, I wish I could type it to cut down on the picture questions, but any help is appreciated!! I believe the answer is 6, but I am not so sure.

read more ..

LaughingFace Apr 26, 2018

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1014

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Question For Cphill

Where is the button on the home page for permutatons? I need some help.

Donut Apr 26, 2018

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1489

4

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Write an equation of the parabola that has a focus at (4, 2) and a directrix at y 3.

Write an equation of the parabola that has a focus at (4, 2) and a directrix at y =-3

Does anybody know how to solve this?? I don't know how you would go about it.

LaughingFace Apr 26, 2018

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2348

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HELP PLEASE! GCD stufffs

If $a$, $b$, and $c$ are positive integers such that $\gcd(a,b) = 168$ and $\gcd(a,c) = 693$, then what is the smallest possible value of $\gcd(b,c)$?

Creeperhissboom Apr 26, 2018

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1057

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Analytical Geometry

If the area of is 27, what is the value of ?

TheMathCoder Apr 26, 2018

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2896

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Casework Counting...again

How many even, three-digit positive integers have the property that exactly two of the integer's digits are equal?

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TheMathCoder Apr 26, 2018

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I hate to display it in this way, but I'm in need of help with probability!

I really hate that it's these three questions, but they all go together, and they all stem from the one explanation!! Sorry again!

LaughingFace Apr 26, 2018

Apr 25, 2018

0

975

7

+273

I need help with understanding this!

I would type this out, but you need to see something I cannot type. :)

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LaughingFace Apr 25, 2018

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1009

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+1450

Circle Gamma is the incircle of triangle ABC and is also the circumcircle of triangle XYZ. The point X is on line BC, the point Y is on

Circle Gamma is the incircle of triangle ABC and is also the circumcircle of triangle XYZ. The point X is on line BC, the point Y is on line AB, and the point Z is on line AC. If angle A=40 degrees, angle B=60 degrees, and angle read more ..

AnonymousConfusedGuy Apr 25, 2018

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1259

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Please help asap

1. Let $f$ be defined by \[f(x) = \left\{ \begin{array}{cl} 3-x & \text{ if } x \leq 3, \\ -x^3+2x^2+3x & \text{ if } x>3. \end{array} \right.\]Calculate $f^{-1}(0)+f^{-1}(6)$.
2. For how many values of $x$ is the function $y=\frac{x-2}{x^2-7x+10}$ read more ..

Guest Apr 25, 2018

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647

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On any particular Saturday Evening the probability that Jenna will go to the movies

On any particular Saturday evening, the probability that Jenna will go to the movies and go for coffee is 1/3. The probability that she will go for a coffee, given that she has gone to the movies, is 4/7. What is the probability that Jenna will go read more ..

Guest Apr 25, 2018

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