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Sav [38]
3 years ago
13

If f(x) = 1 – x, which value is equivalent to |f(i)|? 0 1 √2 √-1

Mathematics
1 answer:
Sedaia [141]3 years ago
8 0

Answer:

\sqrt{2}


Step-by-step explanation:

We plug in i into f(x) to get:

f(i)=1-i


<em>Here, i is the imaginary number i=\sqrt{-1}</em>

To get absolute value of an imaginary number, we use the following formula:

a+bi=\sqrt{a^2+b^2}


So absolute value of f(i) is:

|f(i)|=\sqrt{(1)^2+(1)^2} \\=\sqrt{1+1} \\=\sqrt{2}

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A 6-kilograms<br> bag of potting soil costs $4.08. What is the unit price?
Yanka [14]

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2 years ago
There are big spenders among University of Alabama football season ticket holders. This data set Roll Tide!! shows the dollar am
Bas_tet [7]

Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

n = 479, \pi = \frac{130}{479} = 0.2714

Hence the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 - 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.2316

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 + 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.3112

The 95% confidence interval is (0.2316, 0.3112).

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
2 years ago
At a local department store, jeans are typically priced at $15. Due to a special, the jeans are reduced to 80% of their original
vodomira [7]

Answer:the price of jeans now is $12

Step-by-step explanation:

Let x represent the current price of the jeans. At the local department store, jeans are typically priced at $15. It means that the original price of the jeans is $15 .

Due to a special, the jeans are reduced to 80% of their original price. This means that the original price was reduced by 20%. Therefore, the current price, x would be

x = 15 - (20/100 × 15) = 15 - 3

x = $12

6 0
3 years ago
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