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2 years ago

What is the product?

Mathematics

1 answer:

KATRIN_1 [288]2 years ago

4 0

Answer: 4y/(y+3)

Explanation:

{(2y)(4y-12)}/{(y-3)(2y+6)}

= (8y^2 - 24y)/(2y^2 + 6y - 6y - 18)

= (8y^2 - 24y)/(2y^2 - 18)

= {8y(y-3)}/{2(y+3)(y-3)}

= 2 * 4y/{2(y+3)}

= 4y/(y+3)

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A class survey in a large class for first-year college students asked, “About how many minutes do you study on a typical weeknig

Anika [276]

Answer: (110.22, 125.78)

Step-by-step explanation:

The confidence interval for the population mean is given by :-

$\mu\ \pm z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size = 463

$\mu=118\text{ minutes}$

$\sigma=65\text{ minutes}$

Significance level : $\alpha=1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=\pm2.576$

We assume that the population is normally distributed.

Now, the 90% confidence interval for the population mean will be :-

$118\ \pm\ 2.576\times\dfrac{65}{\sqrt{463}} \\\\\approx118\pm7.78=(118-7.78\ ,\ 118+7.78)=(110.22,\ 125.78)$

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)

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2 years ago

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2 years ago

There is 4/6 of a pizza left from dinner . Each person gets 1/6 of a pizza for lunch the next day . How many people eat the pizz

Goryan [66]

The number of people which gets 1/6 of the pizza as required for lunch the next day is; 4 persons.

<h3>What is the number of people who get 1/6 of the pizza for lunch?</h3>

It follows from the task content that only 4/6 of the pizza is left and each individual needs 1/6 of the pizza for lunch.

On this note, the 4/6 fraction of pizza left mean: 4 × 1/6.

Therefore, only four persons get lunch.