The speed of nitrogen molecules in the atmosphere (at 20ºc) follows a normal distribution with a mean speed of 500 meters/second and a standard deviation of 50 meters/second. which conclusion does this information best support?

Step-by-step explanation:

Given that the speed of nitrogen molecules in the atmosphere (at 20ºC) follows a normal distribution with a mean speed of 500 meters/second and a standard deviation of 50 meters/second.

i.e. we get that 68% lie within 1 std deviation from the mean

ie 68%lie between 450 and 550

95% lie between 400 and 600 and

almost 100% lie between 350 and 650

because they could drop even lower..

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!