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3 years ago

You earn $33 in 8 hours. at that rate, how much would you earn in 5 hours?

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

8 0

You must divide first.
33/8= $4.13 an hour.
Now multiply.
4.13*5= 20.65

statuscvo [17]3 years ago

8 0

Answer:

$20.625

Step-by-step explanation:

Hello,thanks for asking here in brainly I think I can help you with this

you can easily solve this by using a rule of three

Step 1

8 hours⇒ $33

5 hours⇒ $x?

do the relation

$\frac{8\ hours}{33}=\frac{5\ hours}{x}\\\\solve\ for\ x\\\\\\\frac{x*8\ hours}{33}=5\ hours\\x=\frac{5\ hours*33}{8\ hours} \\x=20.625\\\\$

$20.625

I hope it helps, Have a great day.

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Sladkaya [172]

Answer:

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Step-by-step explanation:

1) Notation and definitions

$X=620$ number of people that would vote for the Republican candidate

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$p$ true population proportion of people that would vote for the Republican candidate

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Confidence =0.95 or 95%

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

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

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

The problem says that we need to use $\hat p =0.05$ , and replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.96})^2}=9604$

And rounded we have that n=9604

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Answer:

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