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Strike441 [17]
2 years ago
5

An inlet pipe on a swimming pool can be used to fill the pool in 15 hours. The drain pipe can be used to empty the pool in 20 ho

urs. If the pool is \frac{1}{3} filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.
_____________ hours
Mathematics
2 answers:
Katen [24]2 years ago
5 0

Answer:

  • 40 hours

Step-by-step explanation:

  • Rate of filling is 1/15
  • Rate of draining is 1/20

<u>If both lines are open the rate of filling is:</u>

  • 1/15 - 1/20 = 4/60 - 3/60 = 1/60 per hour

Since tank is 1/3 full we need to fill the remaining 2/3 of it.

<u>Time required:</u>

  • 2/3 : 1/60 =
  • 2/3*60 =
  • 40 hours
Delicious77 [7]2 years ago
3 0

Answer:

30 hours i think

Step-by-step explanation:

#CarryOnLearning

hopeithepls

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If the 50th and 51st terms of an arithmetic sequence are 140 and 142, find the 1st term
morpeh [17]

Answer:

The first term is 42.

Step-by-step explanation:

The common difference is 142  - 140 = 2 so we have

50th term = a1 + 2(50 -1) = 140    where a1 is the first term

a1 + 98 = 140

a1 = 140 - 98 =  42.

4 0
3 years ago
What is the slope of a line that is perpendicular to the line y = 8x + 5? −8 8
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Step-by-step explanation:

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A 99% confidence interval for the difference between two proportions was estimated at 0.11, 0.39. Based on this, we can conclude
sladkih [1.3K]

Answer:

\hat p_1 -\hat p_2 \pm z_{\alpha/2} SE

And for this case the confidence interval is given by:

0.11 \leq p_1 -p_2 \leq 0.39

Since the confidenc einterval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal

Step-by-step explanation:

Let p1 and p2 the population proportions of interest and let \hat p_1 and \hat p_2 the estimators for the proportions we know that the confidence interval for the difference of proportions is given by this formula:

\hat p_1 -\hat p_2 \pm z_{\alpha/2} SE

And for this case the confidence interval is given by:

0.11 \leq p_1 -p_2 \leq 0.39

Since the confidence interval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal

4 0
2 years ago
The miles-per-gallon rating of passenger cars is a normally distributed random variable with a mean of 33.8 mpg and a standard d
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Answer:

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Step-by-step explanation:

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It is provided that X\sim N(\mu=33.8,\ \sigma^{2}=3.5^{2}).

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P(X>37.3)=P(\frac{X-\mu}{\sigma}>\frac{37.3-33.8}{3.5})

                   =P(Z>1)\\\\=1-P(Z

Thus, the probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.

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Answer:

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