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ella [17]
2 years ago
9

Each bag of rocks for an aquarium costs $12.35. Which equation best represents y, the total cost of x bags of rocks?

Mathematics
1 answer:
ladessa [460]2 years ago
3 0

Answer:

The equation is

y = $ 12.35 x

Step-by-step explanation:

Cost of one bag of rocks = $ 12.35

Let there are x bags of rocks, so that the total cost is y.

So, the cost of 1 bag = $ 12.35

cost of x bags = $12.35 x

The total cost is

y = $12.35 x

It is the equation of a straight line which passes from origin and the slope is 12.35.

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we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to
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Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

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The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

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This means that \pi = 0.42

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}

\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2

n = 1076.8

Rounding up:

A sample of 1077 is required.

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3 years ago
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