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kenny6666 [7]
3 years ago
15

Which expression is equivalent to (3m^-2n)^-3/6mn^-2

Mathematics
2 answers:
Luden [163]3 years ago
7 0
We are asked to find the equivalent of the expression given:
(3m⁻² n)⁻³
-----------
6mn⁻²

Perform distribution of power using power rule such as shown below:
3⁻³ m⁻²*⁻³n⁻³
-----------------
6mn⁻²

Perform product and quotient rule such as shown below:
m⁶ n²
--------
3³ *6*m*n³

Simplify,
m⁵
--------
162n

The answer is m⁵/162n.
kakasveta [241]3 years ago
4 0

the answer is m⁵/162n young chiefs

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Apply the distributive property to create an equivalent expression.<br> 1/5 (15+10k) =
ziro4ka [17]

Answer:

1/5(15+10k)

=1/5.15+1/5.10k

=3+2k

5 0
3 years ago
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Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat
NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

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}.

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that n = 65, \pi = 0.76

99% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0
3 years ago
    What is the area of the moon?
nataly862011 [7]

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The area of a sphere is      4 pi R² .

Area of the moon  =  (4 pi) (1,738 km)² =

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3 0
4 years ago
Which of the following values could the number 500,000 be composed of?
OverLord2011 [107]

50000 tens

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How?

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50000 tens:-

\\ \sf\longmapsto 50000(10)=500000

  • 1hundred=100

5000hundreds

\\ \sf\longmapsto 5000(100)=500000

8 0
3 years ago
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If triangle DEF is classified as equilateral, which statement must be true?
patriot [66]

Answer:

all three sides are congruent.

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it is equiangular.

sides are equal.

angles are equal.

all three sides are congruent.

6 0
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