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3 years ago

L2x-2l = 8what are the solutions of the equations

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

8 0

Answer:

x=5

Step-by-step explanation:

The absolute value is positive, so the equation stays the same:

2x-2=8

Add 2 on both sides:

2x=10

Solve:

x=5

Arisa [49]3 years ago

5 0

Answer:

x=29/12

Step-by-step explanation:

Let's solve your equation step-by-step.

12x−21=8

Step 1: Add 21 to both sides.

12x−21+21=8+21

12x=29

Step 2: Divide both sides by 12.

12x/12 = 29/12

x=29/12

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2 years ago

Read 2 more answers

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 $M = 0.1$