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Counting

You are given the 4 x 4 grid below.
(a) Find the number of ways of placing 8 counters in the squares (at most one counter per square), so that each row contains exactly two counters.
(b) Find the number of ways read more ..

Guest Apr 4, 2023

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180

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Probability

What do I do
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 Apr 4, 2023

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Please Help!! Algebra Problem.

Let and be real numbers such that and
(a) Find all possible values of
(b) Find all possible values of
(c) Find all possible values of and

Guest Apr 4, 2023

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145

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Probability

I have questions on this
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 Apr 4, 2023

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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 Apr 4, 2023

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probability

The board game Scrabble® contains 100 tiles, 98 of which are labeled with a letter and a point value, and 2 blank tiles. The distribution of tiles and point values is shown in the table. A tile is drawn at random. Find the probability of each event. read more ..

hlively Apr 4, 2023

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137

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counting

I need help plz
At a meeting, five scientists, two mathematicians, five journalists, two biologists, and three politicians are to be seated around a circular table. How many different arrangements are possible if the read more ..

Guest Apr 4, 2023

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geometry

In square ABCD, M is the midpoint of AB, and N is the midpoint of CD. If the side length of the square is 1, then find the area of the shaded region.

Guest Apr 4, 2023

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counting

Joanna has six beads that she wants to assemble into a bracelet. Two of the beads have the same color, and the other four all have the same color. How many different ways can Joanna assemble her bracelet? (Two bracelets are considered identical if one can read more ..

Guest Apr 4, 2023

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Algebra

Plz help with this
Select all the correct statements. (For this problem, we assume that an exponential function is of the form ka^x where a > 0)
(A) The following function is exponential: y = 2^x
(B) read more ..

Guest Apr 4, 2023

Apr 3, 2023

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Algebra

Suppose r and s are the solutions of x^2 - 12x + 22 = 2x^2 + 22. Find r^2 + s^2.

Guest Apr 3, 2023

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147

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Geometry

Triangle ABC has altitudes AD, BE, and CF. If AD = 12, BE = , and CF is a positive integer, then find the largest possible value of CF.

Guest Apr 3, 2023

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144

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counting

In how many ways can three points be selected from the grid below so that they form a right isosceles triangle?
read more ..

Guest Apr 3, 2023

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142

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counting

Plz help
A standard six-sided die is rolled 7 times. You are told that among the rolls, there was one 1, two 2's, and three 4's. How many possible sequences of rolls could there have been? (For example, 5, 1, 2, 2, read more ..

Guest Apr 3, 2023

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142

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sequences

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 Apr 3, 2023

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stats

A list of ten distinct, positive integers has a median of 5.5. What is the smallest possible average of the ten positive integers? Explain your ansswer in complete sentences.

Guest Apr 3, 2023

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help now plz

Catherine rolls a standard 6-sided die five times, and the product of her rolls is 900 How many different sequences of rolls could there have been? (The order of the rolls matters.)

Guest Apr 3, 2023

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Guest Apr 3, 2023

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Hello i need help NOW!!

Catherine rolls a standard -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 Apr 3, 2023

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