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Gre4nikov [31]
3 years ago
9

The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units:

Mathematics
1 answer:
ddd [48]3 years ago
4 0
V=4*2,5^3=4*15,625=62,5 cubic units
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2 years ago
Can you help me with number 6? <br> Confused abit <br> Please
Sunny_sXe [5.5K]

You can see the three diagram attached. Each link is labeled with the probability: you have probability 1/6 that a six is rolled, and 5/6 that it is not rolled.


To answer the questions, find the path that brings you to the desired outcome, and multiply all the labels you meet.


First question:

To get three sixes, you have to choose the left path at each roll. The probability is always 1/6, so the answer is


\frac{1}{6} \times \frac{1}{6} \times \frac{1}{6} = \frac{1}{6^3}


Second question:

To get no sixes, you have to choose the right path at each roll. The probability is always 5/6, so the answer is


\frac{5}{6} \times \frac{5}{6} \times \frac{5}{6} = \frac{5^3}{6^3}


Third question:

To get exactly one six, it can either be the first, second or third roll.


In all cases, you have to choose the left path once and the right path twice: left-right-right mean that you get the six in the first roll, right-left-right means that you get the six in the second roll, right-right-left means that you get the six in the third roll.


In every case, the left turn has probability 1/6, and the right turn has probability 5/6. The probability of each combination is thus


\frac{1}{6} \times \frac{5}{6} \times \frac{5}{6} = \frac{5^2}{6^3}


And since there are three of these combinations, The answer is


3\frac{5^2}{6^3}


Fourth question:

Since the question suggests to use what we already achieved, let's do it: having at least one six is the complementary event of having no sixes at all. If an event has probability p, its complementary has probability 1-p. So, since the probability of no sixes is known, the probability of at least one six is


1 - \frac{5^3}{6^3}

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2 years ago
Read 2 more answers
PLEASE HELP
zhuklara [117]
Look at the picture.

Use the Pythagorean Teorem:
l^2+(5l)^2=d^2\\l^2+5^2l^2=d^2\\d^2=l^2+25l^2\\d^2=26l^2\\d=\sqrt{26}^2\\d=\sqrt{26}\cdot\sqrt{l^2}\\\boxed{d=l\sqrt{26}}

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