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Cloud [144]
3 years ago
15

. An aquarium contains 50 gallons of water. When the plug is pulled, water drains from the aquarium at a rate of 2 gallons per m

inute. How many gallons of water still remain in the aquarium after 8 minutes? ​
Mathematics
2 answers:
ziro4ka [17]3 years ago
7 0

Answer:

34 gallons still remain after 8 minutes.

Step-by-step explanation:

Variable x = gallons of water after 8 mins

2 gallons = 1 min

x gallons = 8 mins

Set up an equation:

2/1 = x/8

Cross multiply:

2 × 8 = 1 × x

16 = x

16 gallons of water are <em>draine</em><em>d</em><em> </em>after 8 minutes.

Find the difference:

50 - 16 = 34

34 gallons still <em>remain</em> after 8 minutes.

9966 [12]3 years ago
3 0

Answer:

34 gallons

Step-by-step explanation:

Water in tank = starting amount - rate * time

water in tank   = 50 - 2 * time

Let the time = 8 minutes

water in tank   = 50 - 2 * 8

                        = 50 - 16

                        = 34

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Answer:

225÷  9?

Step-by-step explanation:

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2 years ago
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A study of 420,076 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study
Keith_Richards [23]

Answer:

a) 95% Confidence interval = (0.026%, 0.037%) to 3 d.p

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Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

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Margin of Error is the width of the confidence interval about the mean.

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Critical value at 95% confidence interval for sample size of 420,076 is obtained from the z-tables because the sample size is large enough for the properties of the sample to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error = σₓ = √[p(1-p)/n]

n = sample size = 420,076

σₓ = √(0.0003118×0.999688/420076) = 0.0000272421 = 0.0000272

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.000312 ± (1.96 × 0.0000272)

CI = 0.000312 ± 0.0000534

95% CI = (0.0002586055, 0.0003653945)

95% Confidence interval = (0.000259, 0.000365)

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b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Hope this Helps!!!

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