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bearhunter [10]
3 years ago
11

A rectangular swimming pool has a volume capacity of 2160 cubic feet

Mathematics
1 answer:
Olin [163]3 years ago
6 0

Answer:  100 minutes

Step-by-step explanation:

7.5 gal/ft^3 for water

A 2160 ft^3 pool has room for (2160 ft^3)*(7.5 gal/ft^3) = 16,200 gallons of water

Water needed to fill:  (16,200 gal - 1200 gal) = <u>15,000 gal</u>

Rate of filling:  20 ft^3/min

                         (20 ft^3/min)*(7.5 gal/ft^3) = <u>150 gal/min</u>

Tiome to add 15,000 gallons of water:

(<u>15,000 gal/150 gal/min)</u> = 100 minutes

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The confidence level interval is  0.016 \le C \le 0.404

Step-by-step explanation:

The sample size is  n =  20

The number planning to increase workforce is  x =  3

 The confidence level is  c  = 98%

The value of proportion for a plus 4 method is

      p = \frac{x+2}{n+4}

substituting values

      p = \frac{3+2}{20+4}

       p =0.21

The z-critical value at confidence level of 98% is

     z_{c}=z_{0.98} =  2.33

This values is obtained from the standard normal table

The confidence level interval can be mathematically represented as

      C =p \ \pm z_{c} * \sqrt{\frac{p(1-p)}{n+4} }

substituting values

      C = 0.21 \pm 2.33 * \sqrt{\frac{0.21(1- 0.21)}{20 +4} }

       C = 0.21 \pm 0.194

=>   0.016 \le C \le 0.404

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