All Questions ⁺⁰237644 Questions

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159

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Counting

Help how are you supposed to do this

Three adults and three children are to be seated at a circular table. In how many different ways can they be seated if each child must be next to at least one adult? (Two seatings read more ..

Guest Feb 5, 2023

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169

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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 Feb 5, 2023

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177

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Counting

Plz help with this I need it

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 read more ..

Guest Feb 5, 2023

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173

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Graphing question

The graph of y = f(x) is shown below.

For each point (a,b) that is on the graph of y = f(x), the point ((a - 7)/2, (3b + 1)/4) is plotted, forming the graph of another function y = g(x). As an example, the point read more ..

Guest Feb 5, 2023

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160

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Distributions

Help needed plz!

In how many ways can 4 balls be placed in 5 boxes if the balls and boxes are both distinguishable?

Guest Feb 5, 2023

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160

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Counting

I need help here plz

Three adults and three children are to be seated at a circular table. In how many different ways can they be seated if each child must be next to at least one adult? (Two seatings are considered read more ..

Guest Feb 5, 2023

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179

2

Expected Value

I draw a card from a standard 52-card deck. If I draw an Ace, I win 1 dollar. If I draw a 2 through 10, I win a number of dollars equal to the value of the card. If I draw a face card (Jack, Queen, or King), I win 20 dollars. If I draw a read more ..

Guest Feb 5, 2023

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163

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Geometry

Help plz with geometry

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.

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163

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Algebra

Help I need help plz

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

Guest Feb 5, 2023

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164

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Algebra

I need help with 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? <read more ..

Guest Feb 5, 2023

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166

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Algebra

Plz help with algebra

Let a and b be real numbers such that a + b = 4 and a^4 + b^4 = 16.
(a) Find all possible values of ab
(b) Find all possible values of a + b
(c) Find all possible values of a and b read more ..

Guest Feb 5, 2023

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199

6

Geometric Probability

Point (x, y) is randomly picked from the rectangular region with vertices at (0,0),(2008,0),(2008,2009), and (0,2009). What is the probability that x>2y?

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Guest Feb 5, 2023

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173

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2.55 X (3.5) X 300 / (400 X 1000) X ((3+6) / 2 x 6)

2.55 X (3.5) X 300 / (400 X 1000) X ((3+6) / 2 x 6)

how do you work it pls and what is the answer thanks

Guest Feb 5, 2023

+1

215

1

Expected value

Need help on this

In a series of coin flips, a run is a series of consecutive coin flips that are all the same. For example, in the sequence
the red letters form a run.
If a fair coin is flipped two times, read more ..

Guest Feb 5, 2023

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167

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Count

How to count the possibles

A coin is tossed 12 times. How many different sequences of tosses could there have been, if the number of heads was at least ?

Guest Feb 5, 2023

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161

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Geometry

I need help with angles

In the diagram below, D is a point on segment CE such that segments AD and BE are parellel and point A is not on segment BC. Line segments AD and BC intersect at point P.
read more ..

Guest Feb 5, 2023

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178

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counting

Need help with this

A baking club wants to form an executive committee. There are people in the baking club, including mark. In how many ways can the baking club form an executive committee with people? read more ..

Guest Feb 5, 2023

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165

0

Probability

I need to compute 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 read more ..

Guest Feb 5, 2023

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193

1

Probability

Need help 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? read more ..

Guest Feb 5, 2023

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173

0

Binomial

Help with binomial theorem

For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are read more ..

Guest Feb 5, 2023

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166

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Geometry

Help how do I do area

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 5, 2023

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167

0

Probability

Plz help with probability

We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other. An example of a bow-tie quadrilatera is shown below. distinct points are chosen on a circle. We read more ..

Guest Feb 5, 2023

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163

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Counting

I need to count this

In the array below, in how many different ways can we start with the letter and move from letter to letter (horizontally, vertically, or diagonally), to spell the word "ARCH"?

Guest Feb 5, 2023

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164

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System

Help how do I solve this

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 5, 2023

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