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Stolb23 [73]
2 years ago
11

Divide (6x3y2 + 12x2y - 8xy) by (2xy)

Mathematics
1 answer:
rosijanka [135]2 years ago
5 0

Answer:

Step-by-step explanation:

6x³y² = 2 * 3 * x³ * y²

12x²y = 2 *3 * 2 * x² * y

8xy    = 2 *  2 * 2 *x * y

GCF = 2xy

6x³y² + 12x²y - 8xy = (2xy * 3x²y) + (2xy * 6x) - (2xy * 4)

                               = 2xy *(3x²y + 6x - 4)

\dfrac{6x^{3}y^{2}+12x^{2}y-8xy}{2xy}=\dfrac{2xy*(3x^{2}y+6x-4)}{2xy}\\\\\\= 3x^{2}y + 6x - 4

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Answer:

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Step-by-step explanation:

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2 years ago
Lifetime of $1 Bills The average lifetime of circulated $1 bills is 18 months. A researcher believes that the average lifetime i
OLEGan [10]
<h2>Answer with explanation:</h2>

Let \mu be the population mean lifetime of circulated $1 bills.

By considering the given information , we have :-

H_0:\mu=18\\\\H_a:\mu\neq18

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the lifetime of circulated $1 bills is normally distributed.

Given : Sample size :  n=50 , which is greater than 30 .

It means the sample is large so we use z-test.

Sample mean : \overline{x}=18.8

Standard deviation : \sigma=2.8

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{18.8-18}{\dfrac{2.8}{\sqrt{50}}}\approx2.02

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Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.

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3 years ago
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Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After reading for 444 hours, he had 33
siniylev [52]

Answer:

<h3>The function formula for the number of pages left to read is given by P(t)=55(10-t).</h3>

Step-by-step explanation:

Given that "Naoya read a book at a rate of 55 pages per hour".

After reading book for 4 hours, he had 330 pages remaining to read.

In 4 hours, Naoya must read is given by

\frac{55}{1hr}\times 4hr ( by given)

=220

<h3>∴ In 4 hours, Naoya must read 220 pages</h3>

From the given there were 330 pages remaining to read at the time,

The total number of pages is given by

=220+330

=550

<h3>∴ The total number of pages is 550 </h3>

For each hour of reading, Naoya reads 55 pages, so the number of pages he finished reading by the "t"th hour is given by 55t

Let P(t) be the number of pages to read where P is a function of time t (measured in hours)

So the number of pages left to read is given by

P(t)=550-55t

P(t)=55(10-t)

<h3>∴ the function formula for the number of pages left to read is given by P(t)=55(10-t).</h3>
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