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gtnhenbr [62]
3 years ago
14

What two rational numbers are less than 1.6 but greater than -1.6

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0

let's firstly convert the decimal to a fraction, namely a rational.

so we have one decimal, thus let's use 1 zero at the denominator and lose the dot on the numerator.

\bf 1.\underline{6}\implies \cfrac{16}{1\underline{0}}\implies \stackrel{simplified}{\cfrac{8}{5}}

so then, what rationals are between -8/5 and +8/5?   well, a huge amount hmmm let's pick two.


\bf \boxed{-\cfrac{8}{5}}\rule[0.35em]{9.5em}{0.25pt}~~-\cfrac{3}{5}~~\rule[0.35em]{2em}{0.25pt}0\rule[0.35em]{10em}{0.25pt}~~\cfrac{6}{5}~~\rule[0.35em]{2.5em}{0.25pt}\boxed{\cfrac{8}{5}}

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1: x=-3

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Y = 3x + 5, x = -4 / So, what would the y in the equation equal to ? ​
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The missing number is -1

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The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st
cluponka [151]

Answer:

12.3

Step-by-step explanation:

Step 1

We find the mean

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100

Mean = Sum of terms/Number of terms

Number of terms = 10

Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10

Mean = 844/10

Mean = 84.4

Step 2

Standard deviation

The formula for sample standard deviation =

√(x - Mean)²/n - 1

= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1

=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1

= √1364.4/9

= √151.6

= 12.31259518

Approximately to the nearest tenth = 12.3

The standard deviation = 12.3

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