I think the answer is C hope it helps
Carlos finds |-3.8| = 3.8. Then he finds the opposite, which is of -3.8. Jason finds the opposite of -3.8, which is of 3.8. Then he finds the absolute value, which is 3.8. Therefore, Jason has a greater final value.
<h3>Absolute value and opposite of a number</h3>
The absolute value and the opposite of a number are given as follows:
- Absolute value: number without the signal.
- Opposite: number with the signal exchanged.
Hence:
- The absolute value of -3.8 is of |-3.8| = 3.8.
- The opposite of 3.8 is -3.8. (Carlos number).
- The opposite of -3.8 is of 3.8.
- The absolute value of 3.8 is 3.8. (Jason number).
Hence Jason has the greater number.
More can be learned about absolute value at brainly.com/question/17795998
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Answer:
81.85% of the workers spend between 50 and 110 commuting to work
Step-by-step explanation:
We can assume that the distribution is Normal (or approximately Normal) because we know that it is symmetric and mound-shaped.
We call X the time spend from one worker; X has distribution N(μ = 70, σ = 20). In order to make computations, we take W, the standarization of X, whose distribution is N(0,1)
The values of the cummulative distribution function of the standard normal, which we denote 
, are tabulated. You can find those values in the attached file.
Using the symmetry of the Normal density function, we have that 
. Hece,
The probability for a worker to spend that time commuting is 0.8185. We conclude that 81.85% of the workers spend between 50 and 110 commuting to work.
Average rate of change over the interval <span><span>[a,b]</span>
</span> for <span><span>y=<span>f<span>(x)</span></span></span>
</span> is given by <span><span><span><span>f<span>(b)</span></span>−<span>f<span>(a)</span></span></span><span>b−a</span></span>
</span>
Hence, average rate of change of from <span><span>x=−2</span>
</span> to <span><span>x=6</span>
</span> i.e. over the interval <span><span>[−2,6]</span>
</span> for <span><span>y=<span>f<span>(x)</span></span>=<span>12</span><span>x2</span></span>
</span> is given<span><span> rate of change=<span><span><span>f<span>(6)</span></span>−<span>f<span>(−2)</span></span></span><span>6−<span>(−2)</span></span></span></span>
</span>
As <span><span><span>f<span>(−2)</span></span>=<span>12</span><span><span>(−2)</span>2</span>=2</span>
</span> and <span><span><span>f<span>(6)</span></span>=<span>12</span><span><span>(6)</span>2</span>=</span>
</span><span>rate of change=<span><span>18−2</span>8</span>=<span>162</span>=<span>2</span></span>
I’m pretty sure it’s 200 :)
