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seropon [69]
3 years ago
8

Which monomial is a perfect cube?

Mathematics
2 answers:
neonofarm [45]3 years ago
5 0

Answer:

Option (a) is correct.

1x^3 is a perfect cube.

Step-by-step explanation:

 Given : Some Monomial

We have to choose out of given monomial that is a perfect cube.

Perfect cubes are numbers that can be written as (ab)^3

So, consider 1x^3 , we know 1 can be written as 1^3

Thus,  1x^3 can be written as  1^3x^3=(1x)^3

Thus, Option (a) is correct.

fenix001 [56]3 years ago
4 0

Answer:

Option A is correct

1x^3

Step-by-step explanation:

Perfect cube is a number that is the cube of any integer number.

For example:

7^3 = 343

(ab)^3 = a^3b^3

From the given options we have to find which monomial is a perfect cube.

Consider the  monomial 1x^3.

We can write 1 as:

1 = 1 \cdot 1 \cdot 1 = 1^3

It can be written as:

1x^3 = 1^3 \cdot x^3 = (1x)^3

Therefore,  1x^3 monomial is a perfect cube

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Answer:

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Step-by-step explanation:

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Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea
asambeis [7]

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

<u><em>Let </em></u>\mu<u><em> = average ounces of ice cream consumed by American per month</em></u>

So, Null Hypothesis, H_0 : \mu \leq 17 ounces     {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, H_A : \mu > 17 ounces    {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                                 T.S.  = \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average = 19 ounces

             s = sample standard deviation = 5 ounces

             n = sample of Americans = 25

So, <u><em>test statistics</em></u>  =  \frac{19-17}{\frac{5}{\sqrt{25} } }  ~ t_2_4

                               =  2

The value of the test statistics is 2.

<em>Now at 0.025 significance level, the </em><u><em>t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test</em></u><em>. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to </em><u><em>which we fail to reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

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kolbaska11 [484]

Answer:

its called common sense

Step-by-step explanation:divide negative by the positive leaving you with the commomn answer thus its subtraction

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I say bc this felt right
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