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Vera_Pavlovna [14]
2 years ago
7

In August, the digits to the code number are I the prime factors of 150. What is the code number for the office door in August

Mathematics
1 answer:
lbvjy [14]2 years ago
4 0

150 = 2 * 3 * 5 * 5. So the code for the door is 2355 in some order.

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The two events are independent of each other.

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Please help me with Questions 1 and 3 thank you
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3 years ago
Is the square root of 1.69 rational or irrational?
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A standard number cube has 6 sides labeled 1 to 6. apu rolls a standard number cube 30 times. How many times can
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Answer:

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Step-by-step explanation:

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The cube is standard, this implies that each side has an equal probability of landing face-up.

So, the probability of all the six outcomes is same, i.e. \frac{1}{6}.

Now it is provided that Apu rolls the cube <em>n</em> = 30 times.

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The event of rolling a 5 and rolling a 6 are mutually exclusive, i.e. they cannot occur together.

So, P (X = 5 and X = 6) = 0.

Compute the probability of getting a 5 or 6 as follows:

P (X = 5 or X = 6) = P (X = 5) + P (X = 6) - P (X = 5 and X = 6)

                            = P (X = 5) + P (X = 6)

                            =\frac{1}{6}+\frac{1}{6}\\\\=\frac{2}{6}\\\\=\frac{1}{3}

Compute the expected value of rolling a 5 or 6 as follows:

E(X = 5\ \text{or}\ X = 6)=n\times P(X = 5\ \text{or}\ X = 6)

                               =30\times \frac{1}{3}\\\\=10

Thus, the expected value of rolling a 5 or 6 is 10.

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Answer: 1.25 lawns/per hour

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