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2 years ago

Anybody good at geometry I need help with this worksheet

Mathematics

1 answer:

Llana [10]2 years ago

6 0

Answer:

Number 1: x≈4.9412824

Number 2: x=3√10,−3√10x=310,-310

Decimal Form:

x=9.48683298...−9.48683298...

Number 3: x≈−5.04938819

Number 4: x=−1+2√6,−1−2√6x=-1+26,-1-26

Decimal Form:

x=3.89897948…,−5.89897948…

Number 5: x=−7+√93,−7−√93x=-7+93,-7-93

Decimal Form:

x=2.64365076…,−16.64365076…

Number 6: x=1+i√3910,1−i√3910

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3 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 $M = 0.04$