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amid [387]
3 years ago
13

Why is it helpful to write a number as a product of primes

Mathematics
1 answer:
Debora [2.8K]3 years ago
5 0
Because if you are multiplying or dividing, you can regroup numbers to make it easy so exg
80 times 45 might look scary but it is really 2 times 2 times 2 times 2 times 3 times 3 times 5 times 5
regroup to make
(2 times 5) times (2 times 5) times (2 times 2 times 3 times 3)=10 times 10 times (6 times 6)=10 times 10 times 36=3600

dividing
188/132
188=2 times 2 times 47
44=2 times 2 times 3 times 11
so it becomes (2 times 2)/(2 times 2) times (47/(3 times 11))=1 times 47/33=47/33
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What is the value of 5.5 + (-2.75) - 7(18 : -3)?
finlep [7]

Answer:

44.75

Step-by-step explanation:

5.5 + (- 2.75) - 7(18 ÷ - 3)

5.5 - 2.75 - 7(- 6)

5.5 - 2.75 + 42

2.75 + 42

44.75

5 0
2 years ago
Write an equation of the line that passes through 4,-2 and is parallel to y=-4x+1
Aneli [31]

Answer:

y=-4x+14

Step-by-step explanation:

A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)

8 0
2 years ago
The population of a town is decreasing at a rate of 3% per year. In 2005,
kvasek [131]

Answer:

Current Population is 1,216

Step-by-step explanation:

So there’s 8 years in between 2005 and 2013 and the population decreased 3% every year.

So you multiply 3% by 8 and that’s 24% which is the total decrease from 2005 to 2013.

Then you find 24% of 1600 which is 384. That’s the number of people that left from 2005 to 2013.

Now, all you have to do is subtract 384 from 1600 and that gives you the answer of 1,216.

8 0
2 years ago
The standard normal distribution is most completely described as a: A. distribution that exhibits zero skewness and no excess ku
Kaylis [27]

Answer:

A. distribution that exhibits zero skewness and no excess kurtosis.

Correct. We know that the skewness for a normal distribution is zero, since for any symmetric distributio we need to have a skewness near zero, since this measure represent the assymetry of the data.

And the will not have excess of kurtosis for this distribution since the kurtosis measures the extreme values and for this case in the normal distribution we don't expect the outliers with high frequency.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

And this distribution is described by two parameters. The first one is the mean given by \mu and is a measure of central tendency. And the seconde parameter is the deviation given by \sigma.

And with this two parameters we say that if X follows a normal distribution then:

X \sim N(\mu, \sigma)

Let's analyze one by one the options:

A. distribution that exhibits zero skewness and no excess kurtosis.

Correct. We know that the skewness for a normal distribution is zero, since for any symmetric distributio we need to have a skewness near zero, since this measure represent the assymetry of the data.

And the will not have excess of kurtosis for this distribution since the kurtosis measures the extreme values and for this case in the normal distribution we don't expect the outliers with high frequency.

B. normal distribution with a mean of zero and a standard deviation of one.

False. For this case this distribution is a particular case of the normal distribution and is known as the normal standard distribution but the mean is not always equal to 0 and the deviation =1 for any normal distributon.

C. symmetrical distribution with a mean equal to its median.

False. This statement is true but we don't have the mode incoroporate on this definition. Since in the normal distribution we have:

Mean = Median = Mode

So for this reason is not the most complete answer for this case.

5 0
3 years ago
Joanna bought a gallon container of milk at the store. What is the volume of the container in cups?
Viefleur [7K]
A gallon of milk in cups is 16
7 0
3 years ago
Read 2 more answers
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