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Nuetrik [128]
3 years ago
5

How is 81 written as a product of its prime factors​

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

lets remember which are the prime numbers 1 to 81

2,3,5,7,23,29,31,37,....83

the only way you can write 81 as a product of its prime factors are

3x3x3x3=3^4

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Two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. The die is rolled three times, a
Keith_Richards [23]

Answer:

(a) 4/9

(b) 19/27

Step-by-step explanation:

The probability of each die turning up red or not turning red are:

P(R) =\frac{2}{6}= \frac{1}{3}\\P(O) =\frac{4}{6}= \frac{2}{3}

(a). Exactly one face up is red.

The odds of only the first die being red are:

P(A=R) =\frac{1}{3} *\frac{2}{3}* \frac{2}{3} \\P(1=R) =\frac{4}{27}

The same odds are valid for only the second or only the third die being red. Therefore, the probability that exactly one die turns up red is:

P(R=1) = 3*\frac{4}{27}\\P(R=1) = \frac{4}{9}

(b). At least one face up is red.

The probability that at least one die turns up red is the sum of the probabilities of exactly one (found in the previous item), two or all dice turning up red.

Following the same logic as in the previous item, the probability that exactly two dice turn up red is:

P(R=2) = 3*(\frac{1}{3}*\frac{1}{3}*\frac{2}{3})\\P(R=2) = \frac{2}{9}

The probability that all die turn up red is:

P(R=3) = \frac{1}{3}*\frac{1}{3}*\frac{1}{3}\\P(R=3)=\frac{1}{27}

Thus, the probability that at least one die turns up red is:

P= P(R=1)+P(R=2)+P(R=3) = \frac{4}{9}+\frac{2}{9}+\frac{1}{27}\\P=\frac{19}{27}

4 0
3 years ago
What are expressions like 4(3+2) and 4(3)+4(2)
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Your using the distributive property in your example, hope that helps.
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Answer:

Step-by-step explanation:

-40x + 8y = -24

 3x  -  8y = 24

-37x = 0

x = 0

0 + y = -3

y = -3

(0, -3)

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3 years ago
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Find factors of 40 that will SUBTRACT to 3 <br><br> Smaller factor:<br> Larger factor:
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8 and 5 multiply to 40 but subtract to 3.
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3 years ago
Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. (
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Answer:

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True

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Step-by-step explanation:

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