All Questions ⁺⁰231357 Questions

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Distributions

Need help help soon

Find the number of ways of placing 4 balls in 7 boxes if the balls are indistinguishable and the boxes are indistinguishable. read more ..

Guest Mar 14, 2023

Mar 13, 2023

+1

93

7

+185

interesting circles question

Ari draws twelve circles of diameter 2 inches that all pass through the same point, so that the angles formed by the diameters of any two consecutive circles are congruent, as in the image shown. What is the distance between point A and point B in inches? read more ..

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idontknowhowtodivide Mar 13, 2023

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counting

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

Guest Mar 13, 2023

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Math hard

Angelina creates a custom six-sided die by randomly choosing six different integers between 1 and 7, inclusive, to paint on the sides of a blank cube. What is the probability that the faces of her die sum to 24? Express your answer as a common fraction. read more ..

Guest Mar 13, 2023

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Probability

A bag contains five white balls and three black balls. Your goal is to draw two white balls.

(a) You simultaneously draw two balls at random. What is the probability that they are both white?
(b) You simultaneously draw two balls read more ..

Guest Mar 13, 2023

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Probability

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 Mar 13, 2023

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who has more

Andre and elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week? After 4 weeks, who has more money in their savings account?

Guest Mar 13, 2023

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84

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Probability

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?

Guest Mar 13, 2023

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82

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Probability

In Ms. Q's deck of cards, every card is one of four colors (red, green, blue, and yellow), and is labeled with one of seven numbers (1, 2, 3, 4, 5, 6, and 7). Among all the cards of each color, there is exactly one card labeled with each number. The read more ..

Guest Mar 13, 2023

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Probability

Two points on a circle of radius 1 are chosen at random. Find the probability that the distance between the two points is at most 1.5.

Guest Mar 13, 2023

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94

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help please

Part a)

For positive real numbers x, y, z and what is the maximum possible value for
read more ..

Guest Mar 13, 2023

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73

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Counting

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

Guest Mar 13, 2023

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75

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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 Mar 13, 2023

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94

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In a right triangle, the longer leg and the hypotenuse have consecutive integer lengths whose sum is $121$ inches. In inches, what is the pe

In a right triangle, the longer leg and the hypotenuse have consecutive integer lengths whose sum is $121$ inches. In inches, what is the perimeter of the triangle?

Guest Mar 13, 2023

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75

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Counting

The grid below is made up of line segments, like the line segment in red.
There are a number of paths that go from A to B in the grid, where every step goes to the right or up. If we choose a line segment at random, then what is the expected number of read more ..

Guest Mar 13, 2023

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Functions

The functions f and h are defined as follows:
f(x) = (x + 5)/(x - 7) and h(x) = (x + 5)(x - 7).

Explain why the functions f and h are not the same function. read more ..

Guest Mar 13, 2023

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Probability

In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from 1 to 12, and one SuperBall is drawn (at random) from red balls numbered from 13 to 20. When you buy a ticket, you choose three numbers from 1 to 12, read more ..

Guest Mar 13, 2023

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70

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Inequality

Let a, b, and c be nonnegative real numbers. Prove that for all x >= 0,
(x + abc)^3 >= abc(x + a)(x + b)(x + c) >= (x + a + b + c)^3.

Guest Mar 13, 2023

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80

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Expected value

I need help with these

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 paper?
(b) read more ..

Guest Mar 13, 2023

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92

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Number theory

Let and .
What is gcd (m,n)?

Guest Mar 13, 2023

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65

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Counting

Help I need to count this

Catherine rolls a standard 6-sided die five times, and the product of her rolls is . How many different sequences of rolls could there have been? (The order of the rolls matters.)

Guest Mar 13, 2023

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78

1

Write 1 1/6 feet as a single fraction greater than one.

Write 1 1/6 feet as a single fraction greater than one.

Guest Mar 13, 2023

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99

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Let e and d denote the solutions of 2x^2 + 3x - 5=0. What is the value of (d-1)(e-1)?

Let e and d denote the solutions of 2x^2 + 3x - 5=0. What is the value of (d-1)(e-1)?

Guest Mar 13, 2023

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