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Ipatiy [6.2K]
3 years ago
12

If m, p, and t are distinct positive prime numbers, then mpt has how many different positive divisors greater than 1 ?

Mathematics
1 answer:
Mila [183]3 years ago
8 0

Answer:

The number m\times p\times t has seven divisors.

Step-by-step explanation:

Since it is given that m,p,t are prime numbers thus they will be divided completely by 1 and themselves alone

For the number m\times p\times t the divisors are

1) 1

2) p

3) m

4) t

5) m\times p

6) m\times t

7)t\times p

8)m\times p\times t

Thus the number of divisors of m\times p\times t other that 1 are 7.

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How can you use number patterns to find the least common factor
Aleks04 [339]

Answer:

The correct answer is: 360.

Explanation:

First we can express 120 as follows:

2 * 2 * 2 * 3 * 5 = 120

You can get the above multiples as follows:

120/2 = 60

60/2 =30

30/2 = 15

15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)

5/5 = 1

Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)

Second we can express 360 as follows:

360/2 = 180

180/2 = 90

90/2 =45

45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)

15/3 = 5

5/5 = 1

Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)

Now in (1) and (2) consider the common terms once and multiple that with the remaining:

2*2*2*3*5 = Common between the two

3 = Remaining

Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)

5 0
3 years ago
What are the common factors of 12 and 24?
Brut [27]
Common factors of 12 and 24 include 2,3,4,6, and 12
8 0
3 years ago
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A large aquarium has 6 more fish than a small aquarium. There are 19 fish in the large aquarium. How many fish are in the small
iVinArrow [24]

Answer: 13

Step-by-step explanation:

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3 years ago
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Urgent!!!!!!!!!!!!!!!!!!
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24 right box VEDR - 6(4)
9 Left triangle VMR - 0.5 (6)(3)
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2 years ago
It is believed that 44% of all Americans eat breakfast every day. For a class project, you randomly select Clemson students and
GaryK [48]

Answer:

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis: p =0.44

Alternative hypothesis: p \neq 0.44

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis: p =0.44

Alternative hypothesis: p \neq 0.44

8 0
3 years ago
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