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jenyasd209 [6]
2 years ago
5

Which of the following sets is equal to {1,2,3...}?

Mathematics
1 answer:
UkoKoshka [18]2 years ago
3 0
<span>{x | x ∈ N, x ≥ 1} means: 
X where X is in the set (∈) of (N)atural number (counting numbers, 1, 2, 3, 4, etc) where X is greater than or equal to 1. This is your guy. 
The R is for real numbers, and that would be 1, all the numbers between 1 and 2 (like 1.33 repeating, the square root of 3, 1.7, etc), 2, all the numbers between 2 and 3, 3, all the numbers between 3 and 4</span>
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A sample of 13 sheets of cardstock is randomly selected and the following thicknesses are measured in millimeters. Give a point
valina [46]
<h3>Answer:  0.061</h3>

===============================================

Explanation:

Add up the values to get

1.96+1.81+1.97+1.83+1.87+1.84+1.85+1.94+1.96+1.81+1.86+1.95+1.89= 24.54

Then divide over 13 (the number of values) to get 24.54/13 = 1.8876923 which is approximate.

So the mean is approximately 1.8876923

---------------------

Now make a spreadsheet as shown below

We have the first column as the x values, which are the original numbers your teacher provided. The second column is of the form (x-M)^2, where M is the mean we computed earlier. We subtract off the mean and square the result.

After we compute that column of (x-M)^2 values, we add them up to get what is shown in the highlighted yellow cell at the bottom of the column.

That sum is approximately 0.04403076924

Next, we divide that over n-1 = 13-1 = 12

0.04403076924 /12 = 0.00366923077

That is the sample variance. Apply the square root to this to get the sample standard deviation. This is the point estimate of the population standard deviation. As the name implies, it works for samples that estimate population parameters.

sqrt(0.00366923077) = 0.06057417576822

This rounds to 0.061 which is the final answer.

5 0
2 years ago
Simplify and solve for the given variable. <br>Solve 19x = 3 + 4(x + 6) - 2<br>for X.​
Rom4ik [11]

Answer:

5/3

Step-by-step explanation:

19x=3+4(x+6)-2

19x=3+4x+24-2

19x-4x=3+24-2

15x=27-2

15x=25

x=25/15

simplify

x=5/3

5 0
3 years ago
Solve for x over the complex numbers.
Grace [21]

Answer:


Step-by-step explanation:

Given x^2+4x+13=0, find the complex roots.  The best approach here is to use the quadratic formula.  Note that a = 1, b = 4 and c = 13.  

Thus, the discriminant, b^2 - 4ac, is (4)^2 - 4(1)(13) = 16 - 52 = -36, and the square root of that is plus or minus i√36, or  plus or minus 6i.  


plus or minus i√

8 0
3 years ago
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jolli1 [7]
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3 years ago
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