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Valentin [98]
3 years ago
13

Find n(A) for A={0,1,2,3,...,2000}

Mathematics
1 answer:
miskamm [114]3 years ago
7 0
There are 2001 items in that set.

So n(A) = 2001

We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1

where,
m = starting value
n = ending value

In this case,
m = 0
n = 2000
So,
n-m+1 = 2000-0+1 = 2001

This formula only works if we increase the number by 1 each time (eg: 6, 7, 8, etc)
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Need help with these two question!!??
lawyer [7]

The measure of x in both parts is: 120°

Step-by-step explanation:

Part A:

We can clearly see that the figure in part a has six equal sides. So the given figure is a hexagon.

A hexagon has six equal sides in six equal interior angles.

Sum of interior angles of hexagon is 720°

So,

Measure\ of\ one\ agnle=\frac{Sum\ of\ interior\ angles}{number\ of\ angles}\\=\frac{720}{6}\\=120

Part B:

The figure is a Dodecagon with 12 sides.

The Dodecagon has 12 equal sides and angles.

The sum of internal angles of Dodecagon is 1440°

So,

Measure\ of\ one\ angle=\frac{Sum\ of\ angles}{Number\ of\ angles}\\=\frac{1440}{12}\\=120

The measure of x in both parts is: 120°

Keywords: Polygons, Hexagon

Learn more about polygons at:

  • brainly.com/question/8358304
  • brainly.com/question/8540796

#LearnwithBrainly

6 0
3 years ago
What is a equivalent rational number to 1.28 repeating?
goblinko [34]
<span>the line over the 28 means the 28 repeats forever. 1.282828.... and so on let x be the rational number 1.28... we can use this trick: 100*1.282828....= 128.282828... (the decimal 28 part repeats) 100x = 128.28... next: 100x - x = 128.282828... - 1.282828... the .282828... part will be subtracted away 99x = 127 divide both sides by 99 to get x= 127/99</span>
3 0
3 years ago
A number cube was rolled as part of an experiment. The results are shown in the table. Explain how to find the experimental prob
pychu [463]

The experimental probability of rolling a 6 is 9/60  which can be determined by dividing the frequency of the observation 6 with the total frequency of the experiment.

<u>Step-by-step explanation:</u>

Experimental probability is different from theoretical probability because the former is obtained by experimentation  while the latter is what we expect theoretically.When we take a number of observations, the experimental probability and theoretical probability need not be the same.

In this question we have to determine the experimental probability of 6. It can be determined by dividing the frequency of the observation 6 by the total frequency of the experiment.

frequency of 6=9

total frequency=frequency of 1+frequency of 2+frequency of 3+frequency of 4+frequency of 5+frequency of 6

=13+11+9+8+10+9

=60

P(6)=frequency of 6/total frequency

=9/60

4 0
3 years ago
Read 2 more answers
Melanie's food bill at a restaurant is $28.45. The sales tax rate is 6%. If she added 20% of the amount for a tip, what is the t
mars1129 [50]
The total cost of the meal would be $36.19
3 0
3 years ago
How many soultions does 5(x-3)+6=5x-9
olya-2409 [2.1K]

5(x - 3) + 6 = 5x - 9 has no solution

<em><u>Solution:</u></em>

We have to find the number of solutions for the given equation

Given equation is:

5(x - 3) + 6 = 5x - 9

Multiply the terms inside with bracket with constant outside the bracket

5x - 15 + 6 = 5x - 9

Add the constants in left hand side of equation

5x - 9 = 5x - 9

If the coefficients are the same on both sides, then the sides will not equal, therefore no solutions will occur.

Here, 5x - 9 = 5x - 9

The coefficients are same in both sides of equation

Therefore, the equation has no solution

5 0
3 years ago
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