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lidiya [134]
3 years ago
12

explain how the position of the decimal point changes in a quotient as you divide by increasing powers of ten

Mathematics
1 answer:
olga55 [171]3 years ago
3 0
<span>So we need to see how does the decimal point change it's place in the quotient when we divide any number by increasing powers of 10. Lets start with number 1. The decimal point is: 1.0 and when we divide by 10^1=10 we get 1/10=0.1. The decimal point has moved one place to the left. Now lets divide 1 by 10^2 and we get 1/100=0.01. Again, the decimal point has moved one more place to the left. Now: 1/10^3 = 1/1000 = 0.001. Next would be 0.0001, next one would be 0.00001 and so on. </span>
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Babysitting for 8 hours and making $72.00 because of a better/greater amount of money
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What is the range of possible sizes for side x
Xelga [282]

Answer:

0.5 < x < 16.5

Step-by-step explanation:

For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.

When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2.   (such that S2 > S1)

By the first property, we will have that S1 + S2 > S3

Where S3 is the third side, the one that we do not know.

But there is also a lower restriction, given by:

S2 - S1 < S3 < S1 + S2

This is because we also must have:

S1 + S3 > S2

and

S2 + S3 > S1

We can rewrite both of these to get:

S2 - S1 < S3

S1 - S2 < S3

Because S2 > S1, the first inequality is more restrictive, so we need to use that one.

Then we get the inequality:

S2 - S1 < S3 < S1 + S2

Ok, in this case, the shorter side is 8.0 then:

S1 = 8.0

And the longer side is 8.5, then:

S2 = 8.5

And the third side is x, S3 = x

Replacing those in our inequality, we get:

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 16.5

This is the range of possible sizes for side x.

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Ksenya-84 [330]

The random probability of event X, wheel stopping on a white slice is 0.9 while the probability of not X, wheel stopping on Grey slice is 0.1

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  • Grey colored portion = {3}

  • White colored portion = {1, 2, 4, 5, 6, 7, 8, 9, 10}

  • X = Event that wheel stops on a white slice

  • P(X) = number of white slices ÷ total number of slices

  • P(X) = 9 / 10 = 0.9

  • P(not X) = 1 - P(X)

  • P(not X) = 1 - 0.9 = 0.1

Therefore, the probability that wheel stops on a white slice is 0.9 while, the probability that wheel does not stop on a white slice is 0.1

Learn more :brainly.com/question/18153040

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221 miles I believe.
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