Factor Completely: x²+x+8

Mathematics

1 answer:

Igoryamba3 years ago

7 0

Answer:

Does Not Factor

Step-by-step explanation:

No way to factor this.

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What number equals 100 when squared?

vfiekz [6]

Answer: 10

Step-by-step explanation: Remember that squaring a number is multiplying a number by itself. 100 = 10² because 10 x 10 = 100.

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2 years ago

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Eddie bought 27 2/5 inches of wire for a home improvement project. How many 12 inches sections can he make from it?

goblinko [34]

Simply divide your wire by 12 and cut off the excess (as it cannot make a full 12-inch section).

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The dwarves of the Grey Mountains wish to conduct a survey of their pick-axes in order to construct a 99% confidence interval ab

Dmitry_Shevchenko [17]

Answer:

The minimum sample size needed is 125.

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:

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

For this problem, we have that:

$\pi = 0.25$

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 minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?

This minimum sample size is n.

n is found when $M = 0.1$