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Vaselesa [24]
3 years ago
8

HELP!! Simplify the expression 3y^2 • 4x^2y • 5x Using the laws of exponents. Show each step of your work.

Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0
<span>3y^2 • 4x^2y • 5x = (3*4*5) * (</span><span>y^2 * y) * (</span><span>x^2*x) = 60 * y^3 * x^3 = 60 (xy)^3


</span>where ((<span>y^2 * y)) adding the powers in case of multiplication

and also for this:</span><span> (<span>x^2*x)</span>  </span>
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A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
Kaylis [27]

Answer:

A.

mean = 724.2

Median = 715

Mode = 768

B.

Range = 85

Standard deviation = 29.30

C.

Interval = [665.6, 782.8]

Step-by-step explanation:

Number of samples n = 25

Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105

A.

1. Mean = 18105/25

= 724.2

2. Median is the middle value when arranged from the least value to the highest = 715

3. Mode is the number with the highest frequency = 768 (occured two times)

B.

1. Range = highest value - lowest value

Highest value = 772

Lowest value = 687

772-687 = 85

2. Standard deviation = √(X-barX)²/n-1

= √20604/25-1

=√858.5

= 29.30

Please check attachment for the full calculation of the standard deviation

C.

Interval

[Mean - 2(sd), mean + 2(sd)]

= [724.2-2x29.3, 724.2+2x29.3]

=[665.6, 782.8]

4 0
2 years ago
If you wanted to use the numeric key pad to divide 100 by 2, you would type _____.
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6 0
3 years ago
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880,000 is the answer
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Answer:

=  {x}^{ - 11}  {y}^{ - 11}  {z}^{ - 10}

Step-by-step explanation:

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7 0
3 years ago
A triangle has an angle that measures 90 degrees what type of triangle could it be​
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A triangle that has an angle that measures 90 degrees would be a Right Triangle.

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