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2 years ago

18. A brother carries his little sister, who weighs 24kg, across a field 20 meters. How

Mathematics

1 answer:

AVprozaik [17]2 years ago

8 0

Answer:

4800 joules

4.8 kilojoules

Step-by-step explanation:

$Work done = Force * distance\\Workdone = (mass*acceleration)*distance\\Note : force = (mass*acceleration) , Acceleration- due- to -gravity =10m/s^2\\W.D = 24 * 10*20\\W.D = 4800 joules\\W.D =4.8Kilo joules$

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Which expression should you simplify to find the 90% confidence interval,

bogdanovich [222]

Answer:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.2870.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

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

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

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2 years ago

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Yes,you can.

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2 years ago

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Step-by-step explanation:

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