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1 year ago

Which system of linear equations could be used to determine the price of each book

Mathematics

1 answer:

GuDViN [60]1 year ago

4 0

Answer:

Let the price of the maths book be m and price of the novel book be n

Given that,

Total cost of the books is $54

The price of math book is $8 more than 3 times the price of novel book.

we get,

The system of equation as,

$\begin{gathered} m+n=54 \\ m=8+3n \end{gathered}$

Hence the system of equation to determine the price of the maths and novel book is,

$\begin{gathered} m+n=54 \\ m=8+3n \end{gathered}$

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Pepsi [2]

Answer:

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Step-by-step explanation:

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3 years ago

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2 years ago

Franchise Business Review stated over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 130 c

nydimaria [60]

Answer:

We need a sample size of 564.

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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For this problem, we have that:

$\pi = \frac{81}{130} = 0.6231$

The margin of error is:

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

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when $M = 0.04$