Using the general equation, f(x)=[x/1.50] how many songs can be purchased with a $35 gift card?

Mathematics

1 answer:

lozanna [386]4 years ago

3 0

Answer:

Step-by-step explanation:

$\because \: f(x) = \bigg [ \frac{x}{1.50} \bigg] \\ \\ \therefore \: f(35) = \bigg [ \frac{35}{1.50} \bigg] \\ \\ \therefore \: f(35) =23.33 \\ \\ \therefore \: f(35) \approx 23 \\$

Hence, 23 songs can be purchased with a $35 gift card.

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<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have that:

95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

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The upper bound of the interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 + 1.96\sqrt{\frac{0.49(0.51)}{2001}} = 0.5119$

The 95% confidence interval for the proportion of all U.S. adults who play video games is (0.4681, 0.5119). It means that we are 95% sure that the true proportion of all U.S. adults who play video games is between 0.4681 and 0.5119.

To learn more about the z-distribution, you can take a look at brainly.com/question/25730047

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