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andrezito [222]

3 years ago

15

Allie wants to take dance lessons. It costs $50 to rent the studio and $20 per lesson. If Allie has $130 for dance lessons. Up t

o how many lessons will Allie be able to take with the amount of money, she has budgeted for dance lessons. (WRITE An INEQUALITY)

1 answer:

ludmilkaskok [199]3 years ago

7 0

She would have 6 or 7 lessons 130 divided by 20 = 6.5

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Step-by-step explanation:

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Answer:

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And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :

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

Part a

The estimated proportion for this case is $\hat p =0.76$

Our interval is at 90% of confidence, and the significance level is given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . The critical values for this case are:

$z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64$

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)

The margin of error desired is given $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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Replacing we got:

$n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

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The answer is true.

Complementary = 90

Supplementary = 180

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Step-by-step explanation:

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