The required equation of the line is y = -1/2x
<h3>Equation of a line</h3>
The standard equation of a line is expressed as y = mx + b
- where:
- m is the slope
- b is the y intercept
Given the coordinate points (0,0) and (4, -2)
Slope = -2/4 = -1/2
The intercept is 0 since the line pass through the origin
Hence the required equation of the line is y = -1/2x
Learn more on equation of a line here: brainly.com/question/13763238
The approximate probability that the code only contains odd numbers is 0.02381.
$13.68 because you do [.18+.06=.24] [18•.24=4.32] [18-4.32=13.68]
In rolling one die, there are 6 possible outcomes because each die has 4 faces. The number of outcomes when rolling n dice is equal to 6^n. By this, the number of outcomes when 2 dice are rolled is 36, 216 for 3 dice, and so on.
<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h
</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
</span><span>
=<span>e^2</span></span>