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Verizon [17]
3 years ago
9

3.) A glass of water is being filled up slowly. It initially starts out with 4

Mathematics
1 answer:
maria [59]3 years ago
4 0

Answer:

  8 minutes

Step-by-step explanation:

The amount in the glass after m minutes can be described by ...

  a = 4 + 3/2m

We want to find m when a=16, so ...

  16 = 4 + 3/2m

  12 = 3/2m . . . . . subtract 4

  8 = m . . . . . . . . . multiply by 2/3

It will take 8 minutes to fill the glass.

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2 years ago
Which expression should you simplify to find the 90% confidence interval,
Alex787 [66]

Answer:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287

0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

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Step-by-step explanation:

The estimated proportion of interest is \hat p=0.45

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value is:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the true population proportion is interest is given by this formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Replacing the values provided we got:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287

0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

8 0
3 years ago
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