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creativ13 [48]
4 years ago
13

What does it mean to say we have a base ten system? Be specific. Use examples.

Mathematics
1 answer:
NeTakaya4 years ago
8 0

Answer:

This means that the decimal system is responsible for representing quantities using ten different digits.

Step-by-step explanation:

This means that the decimal system is responsible for representing quantities using ten different digits: 0 (zero), 1 (one), 2 (two), 3 (three), 4 (four), 5 (five ), 6 (six), 7 (seven), 8 (eight) and 9 (nine).

The digits acquire their value according to the relative position they occupy. This position, in turn, depends on the base in question. It has the powers of the number ten as a base. Thus: 10 raised to 0 is equal to 1; 10 raised to 1 is equal to 10; 10 raised to 2 equals 100; etc.

The number 123, for example, has three figures. In the decimal system, it is constructed as follows, respecting the corresponding positions:

(1 x 10 raised to 2) + (2 x 10 raised to 1) + (3 x 10 raised to 0)

(1 x 100) + (2 x 10) + (3 x 1)

100 + 20 + 3

123

As you can see, from right to left, the first place corresponds to the unit (10 raised to 0), the second place corresponds to the ten (10 raised to 1) and the third place corresponds to the hundred (10 raised to 2 ).

Hope this helps!

 

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Answer:

Ok listen here

Step-by-step explanation:

You are like the earth.

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We all know that a lot of people think the surface of the earth is ugly, and they have given up hope that people can change it, but the truth is that, the world is beautiful and we can change it.

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7 0
3 years ago
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Find the exact,simplified value of x for the given triangle
Katarina [22]
If this is a 30, 60, 90 triangle, which I think it is, it would b 4
4 0
3 years ago
In a triathlon , Jenny swam for 1 hour , biked for 1.75 hours , and ran for 1 hour. Her average biking speed was 2 times her ave
Naddika [18.5K]

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

<h3>Speed</h3>

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent the average swimming speed, b the average biking speed and c the average running speed.

Her average biking speed was 2 times her average running speed, hence:

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Her average running speed was 8 times her average swimming speed. Hence:

  • c = 8a   (2)

Total distance of the triathlon was 55.5 kilometers. Hence:

a * 1 hour + b * 1.75 hour + c * 1 hour = 55.5   (3)

From equation 1, 2 and 3:

a = 2.5, b = 24, c = 12

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

Find out more on speed at: brainly.com/question/6504879

3 0
3 years ago
A hypothesis test is to be performed for a population proportion. For the given sample data and null hypothesis, compute the val
liberstina [14]

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

    The sample size is n =  415

    The sample proportion is  \r p  = 0.49

Now

     The null hypothesis is  H_o  :  p = 0.3

     The alternative hypothesis is H_a  :  p \ne 0.3

The test statistics is mathematically evaluated as

      t  =  \frac{\r p -  p  }{ \frac{\sqrt{ p (1- p )} }{n} }

substituting values

      t  =  \frac{0.49 -  0.3  }{ \sqrt{ \frac{0.3 (1- 0.3 ) }{415} }}

     t  = 8.446

     

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4 years ago
A spinner with 8 equal parts, labeled 1 to 8, is used in a board game. you spin the spinner one time. what is the theoretical pr
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Answer:

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Step-by-step explanation:

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1/8 = 0.125

5 0
3 years ago
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