All Questions ⁺⁰235702 Questions

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Cylinders

A cylindrical can has a 1-inch radius and a height of 5 inches. If the cans must be stored in an upright position, what is the maximum number of cans that will fit on a shelf that is 4 feet long, 4 feet wide and 15 inches high?
Assume read more ..

kittykat Dec 22, 2023

Dec 21, 2023

+1

42

0

+1439

Pyramid

The right pyramid shown has a square base and all eight of its edges are the same length. If all the edges have length 1, what is the distance from C to face ABE?
<read more ..

kittykat Dec 21, 2023

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40

1

+180

Find AC

itsash Dec 21, 2023

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44

1

+180

Find sin BAC

itsash Dec 21, 2023

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24

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+1364

strip

A rectangle contains a strip of width $1,$ as shown below. Find the area of the strip.

sandwich Dec 21, 2023

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30

1

+1533

Probability

A box contains $24$ tiles. Each tile has certain properties:
* Each tile is made of wood or plastic.
* Each tile is red, yellow, or blue.
* Each tile is a triangle, square, pentagon, or circle.
There is exactly read more ..

parmen Dec 21, 2023

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48

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+1533

Probability

Raina places the following balls into a bag. She draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
There are 4 orange balls and 4 purple read more ..

parmen Dec 21, 2023

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23

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+1533

Paths

Marvin the fly starts at $(0,0).$ Each step, Marvin moves one unit right or one unit up. He is trying to get to the point $(2,2)$. However, at $(1,1)$ there is a frog that will eat him if he goes through that point. In how many ways read more ..

parmen Dec 21, 2023

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26

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+1533

Counting

Each square below is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the squares? read more ..

parmen Dec 21, 2023

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24

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+1533

Expected Value

Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have an $8$ on them.
How many $8$'s do we have to add to make the expected value equal to $4$?

parmen Dec 21, 2023

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43

1

+1533

Expected Value

Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have an $8$ on them.
If we add another 7 slips with a 8 on them, what is the expected value of the number shown read more ..

parmen Dec 21, 2023

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47

0

+1533

Expected value

Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have an $8$ on them.
If we add another 5 slips with a 3 on them, what is the expected value of the number shown when read more ..

parmen Dec 21, 2023

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43

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+17

Modular systems of equation problem

I would appreciate it if someone helped solve for x.
x is congruent to 2 (mod 5)
x is also congruent to 1 (mod 7)

sussusus Dec 21, 2023

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