How do you identify the opposite and the absolute value of a rational number

2 answers:

5 0

"The absolute value of an integer is its distance from zero on a number line. For example, the absolute value of -8 is +8, because -8 is 8 units from zero on the number line. Note that the absolute value of any positive or negative integer is positive." http://www.mathhelp.com/how_to/integers_and_the_number_line/opposites_and_absolute_value/

zhenek [66]2 years ago

4 0

Opposite:
Just change the sign.
If it's a positive number, make it negative.
If it's a negative number, make it positive.

Absolute value:
Even easier.
Just throw away the sign, and you have it.

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6 0

2 years ago

The lengths of a particular snake are approximately normally distributed with a given mean mc025-1.jpg = 15 in. and standard dev

Vedmedyk [2.9K]

Answer:

<em>2.5%</em><em> of the snakes are longer than 16.6 in</em>

Step-by-step explanation:

The Z score is,

$Z=\dfrac{X-\mu}{\sigma}$

here,

X = raw score = 16.6

μ = mean = 15

σ = standard deviation = 0.8

So,

$Z=\dfrac{16.6-15}{0.8}=2$

Z-score is the measurement of how many standard deviation away the data is from the mean. Hence, the value 16.6 is 2 standard deviations right to the mean.

Approximately 95% of the data falls within two standard deviations of the mean. (between the mean-2 times the standard deviation, and the mean+2 times the standard deviation)

So the 5% of data are left in the remaining space. As we have to find the amount of snakes which are longer than 16.6 in i.e we have to find the area to the right of 16.6.

The remaining 5% of amount is divided in two equal parts.

Therefore, $\dfrac{5}{2}=2.5\%$ of the snakes are longer than 16.6 in