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barxatty [35]
3 years ago
15

How do you factor 18r^5p^3-12r^3p^5+30rp^4

Mathematics
1 answer:
lozanna [386]3 years ago
3 0
6rp^3 is the greatest common factor. Take that out and see what's left.

= 6rp^3*(3r^4 -2r^2p^2 +5p) . . . . . factors no further
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Whats the factor of this expression?<br> 10x + 40y?
BARSIC [14]

Answer:

<h3>10(x + 4y)</h3><h3 />

Step-by-step explanation:

factor of 10x + 40y

  • 10(x + 4y)
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Grace has a segment with endpoints A(3, 2) and B(6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio. S
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Answer: 2/5

Step-by-step explanation:

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A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3degrees°F and a standard deviation of 0.6
mylen [45]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n=106

Sample mean : \overline{x}=98.3^{\circ}\ F

Standard deviation : \sigma= 0.69^{\circ}F

Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Then , 99​% confidence interval estimate of the mean body temperature of all healthy humans will be :-

98.3\pm (2.576)\dfrac{0.69}{\sqrt{106}}\\\\\approx98.3\pm0.173=(98.3-0.173,\ 98.3+0.173)=(98.127,\ 98.473)

Since 98.6 is higher than the upper limit of the confidence interval (98.473), then this suggest that the mean body temperature could be lower then 98.6 degrees.

The best estimate of population mean is always the sample mean. \mu=\overline{x}=98.3^{\circ}\ F

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3 years ago
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Dmitriy789 [7]
68.40 divide 6 = 11.4

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The ratio of two numbers is 8:7. The product of these numbers is 896. What is the smaller of these two
Darina [25.2K]

Answer:

  28

Step-by-step explanation:

You want the smaller of the two factors of 896 that have the ratio 8:7.

<h3>Setup</h3>

Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...

  x(8/7)x = 896

  (8/7)x² = 896

<h3>Solution</h3>

Multiplying by the inverse of the coefficient of x², we have ...

  x² = (7/8)(896) = 784

  x = √784 = 28 . . . . . . . . take square root

The smaller of the two numbers is 28.

__

<em>Additional comment</em>

The larger is (8/7)(28) = 32.

5 0
2 years ago
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