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3 years ago

the greatest common factor gcf of 2 monomiald is 3x^2y. One of the monomials is 3x^4y . Which couod be the other monomial.

1 answer:

fomenos3 years ago

4 0

While I cannot see your answer choices, the correct answer would be one that has a coefficient that is a multiple of 3 and has an x raised to an exponent of no more than 2. It could have any other variables in it.

The reason this has to be is because of the GCF. Since 3 is part of the GCF, and the other monomial has a coefficient of 3, this means the missing monomial must be divisible by 3 as well.

Since x² is part of the GCF, the missing monomial must contain x². However, if it were to contain x³ or anything larger, the GCF would have x with a higher exponent.

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Karo-lina-s [1.5K]

The solution is x=-4, y=-2

8 0

3 years ago

-7-7 (2m-7) = 7 (6+m)

levacccp [35]

Answer:

m= 0

Step-by-step explanation:

this is the right answer

-7-14m+49=42+7m

42-14m=42+7m

14m+7m=42-42

21m=0

m=0

4 0

3 years ago

Read 2 more answers

A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statisti

jeyben [28]

Answer:

We need a sample of size at least 13.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence interval: (0.438, 0.642).

The proportion estimate is the halfway point of these two bounds. So

$\pi = \frac{0.438 + 0.642}{2} = 0.54$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?

We need a sample of size at least n.

n is found when M = 0.08. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.08 = 1.96\sqrt{\frac{0.54*0.46}{n}}$

$0.08\sqrt{n} = 1.96\sqrt{0.54*0.46}$

$\sqrt{n} = \frac{1.96\sqrt{0.54*0.46}}{0.08}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.54*0.46}}{0.08})^{2}$

$n = 12.21$

Rounding up

We need a sample of size at least 13.

3 0

3 years ago

Convert 3.55 grams potassium to atoms

vampirchik [111]

<span>Firstly, you'll need to convert the grams into number of mols. Since no. of mol = mass/molecular weight3.55/39.1 = 0.09079 mol because 1 mol of potassium ...</span><span>
</span>

6 0

3 years ago

See attached questionthe last line is N (not visible line)

algol13

The figure has reflective symmetry about a line if that line divides the figure in two similar parts, which are reflections of one another.

Notice that the two figures formed when the shape is divided by line k are not similar, since one has 7 vertices and the other just 4.

Notice that the two figures formed when the shape is divided by line m are not similar, since one has 7 vertices and the other just 4.

The line l divides the figure in two shape, one is a trapezoid and the other isn't.

Only line n divides the figure in two similar shapes.

Therefore, the correct choice is B) n only.

8 0

1 year ago