All Questions ⁺⁰237827 Questions

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265

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help quick please

Find the number of positive integers that satisfy both the following conditions:
Each digit is a 1 or a 2
The sum of the digits is 10

Guest Feb 12, 2023

-1

197

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Expected value

Help with this plz

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 paths that read more ..

Guest Feb 12, 2023

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185

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Counting

I need help with counting

read more ..

Guest Feb 12, 2023

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205

3

Sorry the LaTeX is weird but I need help ASAP!

Let $a_1, a_2, a_3,\dots$ be an arithmetic sequence. If $a_1 + a_3 + a_5 = -12$ and $a_1a_3a_5 = 80$, find all possible values of $a_{10}$.

I know 17 is a solution but there are apparently multiple solutions to this.

Guest Feb 12, 2023

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179

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Counting

How to count this

There are 97 students in South High School. South High School offers only Chinese and Spanish. There are more students in Chinese than in Spanish, and every student takes at least one language. If students read more ..

Guest Feb 12, 2023

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172

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Counting

Need help lots

There is a group of five children, where two of the children are twins. How many ways can I distribute 10 identical pieces of candy to the children, if the twins must get an equal amount of candy?
<read more ..

Guest Feb 12, 2023

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203

1

Counting

I need to count paths here

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) read more ..

Guest Feb 12, 2023

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201

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Algebra

Need to solve for x

Let x be a real number such that 625*x = 64. Then 125*x = ___ sqrt(____) read more ..

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171

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Algebra

Need to solve for c

Find all values of c such that 3*(2c + 1) = 28*(3*c) - 9. If you find more than one value of c, then list your values in increasing order, separated by commas. read more ..

Guest Feb 12, 2023

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130

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Exponential Functions

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)
read more ..

Guest Feb 12, 2023

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176

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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 12, 2023

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162

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 12, 2023

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175

0

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.

Guest Feb 12, 2023

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164

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Graphing

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 12, 2023

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210

3

Help pls

In triangle $PQR,$ $M$ is the midpoint of $\overline{PQ}.$ Let $X$ be the point on $\overline{QR}$ such that $\overline{PX}$ bisects $\angle QPR,$ and let the perpendicular bisector of $\overline{PQ}$ intersect $\overline{PX}$ at $Y.$ If $PQ = 36,$ $PR read more ..

Guest Feb 12, 2023

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202

1

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 12, 2023

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171

0

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 12, 2023

0

195

1

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 Feb 12, 2023

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193

1

plz help

please help soon

Guest Feb 12, 2023

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162

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Counting

In how many ways can the numbers 1 through 5 be entered once each into the five boxes below so that all the given inequalities are true?

Guest Feb 12, 2023

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165

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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 12, 2023

0

163

0

Binomials

(a) Simplify (n/k)/(n/(k - 1))

(b) For some positive integer n, the expansion of (1 + x)^n has three consecutive coefficients a, b, c that satisfy 1:8:28. What must n be?

Guest Feb 12, 2023

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199

1

Geometry

Plz help with geometry problem

In the diagram below, PQRS is a parallelogram with a perimeter of 26 and an area of 28. What is the perimeter of rectangle OSTQ? Include an explanation of how you solved the problem. read more ..

Guest Feb 12, 2023

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156

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Counting

Plz anyone help with counting

(a) Find the number of ways that Magnus can give out 20 identical stickers to 5 of his friends. (Not everyone has to get a sticker.)
read more ..

Guest Feb 12, 2023

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