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3 years ago

6

The modulus of a real number, n, is equal to _____.

1 answer:

Bogdan [553]3 years ago

5 0

Answer:

The absolute value

Step-by-step explanation:

we know that

The modulus of a real number, is equal to the absolute value of the real number

so

The modulus of a positive number is simply the number and the modulus of a negative number is found by ignoring the minus sign.

Then

modulus of n is always positive number .such that n belongs to real number R.

Modules of n is denoted by |n|

<u><em>Examples: </em></u>

|-4|=4

|2.5|=2.5

|-100.1|=100.1

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The frequency of the musical not B3 is about 246.94 Hz. What is the frequency of the note a perfect fifth below B3

Crazy boy [7]

Notes separated by a perfect fifth have a frequency ratio of 3:2.
The frequency of the note a perfect fifth below B3 will be
246.94×2/3 = 164.62667

The appropriate choice is ...
164.63 Hz

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3 years ago

Read 2 more answers

A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimat

erma4kov [3.2K]

Answer:

a) $n = 9604$

b) n = 381

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:

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

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

a. Assume that nothing is known about the percentage of computers with new operating systems. n = ?

When we do not know the proportion, we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

The sample size is n when M = 0.01.

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

$0.01 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.01\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.01}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.01})^{2}$

$n = 9604$

b. Assume that a recent survey suggests that 99% of computers use a new operating system. n = ?

Now we have that $\pi = 0.99$ . So

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

$0.01 = 1.96\sqrt{\frac{0.99*0.01}{n}}$

$0.01\sqrt{n} = 1.96*\sqrt{0.99*0.01}$

$\sqrt{n} = \frac{1.96*\sqrt{0.99*0.01}}{0.01}$

$(\sqrt{n})^{2} = (\frac{1.96*\sqrt{0.99*0.01}}{0.01})^{2}$

$n = 380.3$

Rouding up

n = 381

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3 years ago

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jekas [21]

y=-3x/2

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3 years ago

Find the area of a rectangle that has a length of 4/5 of a meter and a width of 3/5

Helen [10]

Answer:

Step-by-step explanation:

Givens

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Formula

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2 years ago

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Marizza181 [45]

A) 65%
b) 68

26:40 as x:100
26/40 = x/100
Cross multiply
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x = 65
———————
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80 x 0.85 = 68

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3 years ago