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3 years ago

Use a factor tree or similar method to write 4400 as a product of

Mathematics

1 answer:

stealth61 [152]3 years ago

5 0

Answer:

4,400 = 44 * 100

44 = 2 * 2 * 11

100 = 2 * 2 * 5 * 5

prime factors = 2 * 2 * 2 *2 * 5 * 5 * 11

Step-by-step explanation:

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An insurance company estimates 45 percent of its claims have errors. The insurance company wants to estimate with 99 percent con

nydimaria [60]

Answer:

We need a sample size of at least 657.

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

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is given by:

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

45 percent of its claims have errors.

So $\pi = 0.45$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

What sample size is needed if they wish to be within 5 percent of the actual

This is a sample size of at least n, in which n is found when M = 0.05.

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

$0.05 = 2.575\sqrt{\frac{0.45*0.55}{n}}$

$0.05\sqrt{n} = 1.28$

$\sqrt{n} = \frac{1.28}{0.05}$

$\sqrt{n} = 25.62$

$\sqrt{n}^{2} = (25.62)^{2}$

$n = 656.4$

We need a sample size of at least 657.

6 0

3 years ago

Maxwell earns $99 for every 5.5 hours for work. How much will he earn if he works 30 hours this week (hint: find the unit rate,

kompoz [17]

$\bf \begin{array}{ccll} \$&hours\\ \cline{1-2} 99&5.5\\ x&30 \end{array}\implies \cfrac{99}{x}=\cfrac{5.5}{30}\implies 2970=5.5x\implies \cfrac{2970}{5.5}=x\implies 540=x$