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iren [92.7K]
2 years ago
5

6. Enrico is filling his pool. The pool has 3,000 gallons of water in it now. The water hose that Enrico uses puts 500 gallons p

er hour into the pool. Write an equation for the number of gallons y of water in the pool after x hours. Identify the slope and the y-intercept.
Mathematics
1 answer:
sergeinik [125]2 years ago
7 0

Answer:

equation: y = 500x + 3,000

Step-by-step explanation:

The slope is 500 because it is gaining 500 gallons of water every hour. The y-intercept is 3,000 because the pool started off with 3,000 gallons in it.

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Alenkinab [10]

Given:

\sigma_A=3

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To find:

The variance. of combined set.

Solution:

Formula for variance is

\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}      ...(i)

Using (i), we get

\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}

(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}

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Similarly,

\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}

(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}

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Now, after combining both sets, we get

\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}

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Raul has been offered three different jobs and must choose which one to accept. One of the factors he is considering is the pay
chubhunter [2.5K]

Answer:

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

Step-by-step explanation:

Given that Raul would work 50 weeks of the year,

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As he works 5 days a week, so in 1 day he will work 40/5 = 8 hours.

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As he works 50 weeks a year, so payment for 1 year = $750 x 50 = $37500.

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As the pay rate for Job C is the highest, so he must accept the offer from Job C.

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