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worty [1.4K]
2 years ago
13

A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 30 ft, width 18 ft, and depth 4 ft. Su

ppose water is pumped out of the
pool at a rate of 216 ft per hour. If the pool starts completely full, how many hours does it take to empty the pool?
hours ( NO LINKS , LINK WILL GET YOU BANNED )
Mathematics
1 answer:
Licemer1 [7]2 years ago
4 0

Answer:

10 hours (I am not positive)

Step-by-step explanation:

We first want to find the volume of pool which is 30 x 18 x 4 = 2160.

Then you are going to divide by 216 to find how many hours it takes to drain the whole pool. (I'm not that big of an expert)

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An athletic league does drug testing of its athletes, 10 percent of whom use drugs. This test, however, is only 95 percent relia
Vera_Pavlovna [14]

Answer:

0.6786

0.3214

1 / 172

171 / 172

Step-by-step explanation:

Note: The tree diagram is attached below.

a) The athlete is a drug user, given that the test is positive P(D/+)

Using conditional Probability:

P ( D / + ) = P ( D and + ) / P ( +)

= (0.1 * 0.95) / (0.1 * 0.95 + 0.9*0.05)

= 0.6786

Answer: P ( D / + ) = 0.6786

b) The athlete is not a drug user, given that the test is positive P(D' / + )

Using conditional Probability:

P ( D' / + ) = P ( D' and + ) / P (+)

= (0.9 * 0.05) / (0.1 * 0.95 + 0.9*0.05)

= 0.3214

Answer: P ( D' / + ) = 0.3214

c) The athlete is a drug user, given that the test is negative P (D / - )

Using conditional Probability:

P ( D / - ) = P ( D and - ) / P (-)

= (0.1 * 0.05) / (0.9 * 0.95 + 0.1*0.05)

= 1 / 172

Answer: P ( D / - ) = 1 / 172

(d) The athlete is not a drug user, given that the test is negative P (D' / - )

Using conditional Probability:

P ( D' / - ) = P ( D' and - ) / P (-)

= (0.9 * 0.95) / (0.9 * 0.95 + 0.1*0.05)

= 171 / 172

Answer: P ( D / - ) = 171 / 172

4 0
2 years ago
A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obta
Strike441 [17]

Answer:  18

Step-by-step explanation:

  • The<u> sample mean</u> is the best point estimate of the population mean .

Given : A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained (12 18 19 20 21).

Then , the sample mean = \dfrac{\text{Sum of observations}}{\text{Number of observations}}

sample mean =\dfrac{12 +18 +19+ 20+ 21}{5}=18

Hence, A point estimate of the mean is 18.

3 0
3 years ago
2log2 8 – 3 logs 25 + 2x = log 10,000<br> may you show the steps please
anzhelika [568]

Answer: x=2 - 1/2 x ㏒(16/2953125)

Step-by-step explanation:

  • log (28^2) + log(525^-3) + 2x=log(10^4)
  • log(28^2 x 1/523^3) + 2x=4
  • log(28^2/525^3) + 2x=4
  • log (112/75 x 75 x 525) + 2x=4
  • log(16/2953125) + 2x=4
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  • <u><em>x=2-1/2 x log(16/2953125)</em></u>

8 0
3 years ago
Angle APR is vertical with Angle SPL. If Angle APR = 13x - 30, and Angle SPL = 3x + 70, what is the value of x?
Luba_88 [7]

Answer:

The value of x is 10.

Step-by-step explanation:

If APR and SPL are vertical angles, then we get that \angle APR = \angle SPL. Given that \angle APR = 13\cdot x -30 and \angle SPL = 3\cdot x + 70, we find that the value of x is:

13\cdot x - 30 = 3\cdot x +70

10\cdot x = 100

x = 10

The value of x is 10.

6 0
2 years ago
Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
Anna71 [15]

Answer by JKismyhusbandbae: B) –10.6

Work/Explanation: Since the sequence slowly gets smaller, it is likely that each term is something added to (subtracted from) the previous term. To get from –7.9 to –8.8, it appears that the first has had –0.9 added to it. Continue adding –0.9 to get that the fourth term is –10.6.

8 0
2 years ago
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