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maria [59]
3 years ago
5

1. You are rolling a pair of dice. What's the probability of getting different numbers on both dice?

Mathematics
1 answer:
GaryK [48]3 years ago
7 0

Answer:

  • 5/6

Step-by-step explanation:

<u>Total outcomes:</u>

  • 6*6 = 36

<u>Outcomes with same numbers on both dice:</u>

  • 6

<u>Outcomes with different numbers on both dice:</u>

  • 36 - 6 = 30

<u>Probability of different numbers on both dice:</u>

  • 30/36 = 5/6
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Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po
jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

Step-by-step explanation:

The given equation is

x^3-21x=-20

It can be written as

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Splitting the middle terms, we get

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Splitting the middle terms, we get

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Using zero product property, we get

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x+5=0\Rightarrow x=-5

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

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3 years ago
The eatery restaurant has 200 tables. On a recent evening, there were reservations for 1/10 of the tables. How many tables were
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<span>There were 20 tables reserved. 1/10 is equivalent to 10%. To find 10%, divide the total number of tables by 10. 200/10 = 20.</span>
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3 years ago
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