Not sure on this one, any help would be appreciated!
1 answer:
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Answer:
The lowest 5% of data ends at 57.73.
Step-by-step explanation:
Let the random variable <em>X</em> follow a Normal distribution with mean μ = 80.6 and standard deviation σ = 13.9.
The lowest 5% of the distribution can be expressed in terms of probability as follows:
Compute the value of <em>x</em> as follows:
The <em>z</em> score such that P (Z < z) = 0.05 is <em>z</em> = -1.645.
**Use the <em>z-</em>table for the for the <em>z</em>-score.
The value of <em>x</em> is:
Thus, the lowest 5% of data ends at 57.73.
First you need to find the slope of the line containing those 2 points using the slope formula. Filling in with our info we have 
. So the slope is -1.5. Now we need to find out the rest of the info, mainly the y-intercept. The line appears to go through the y axis at (0, 0), but let's make sure. We will use the slope we just found and one of our points to solve for the y-intercept. I picked point (4, -6). Filling in to solve for b we get -6 = (-1.5)(4) + b. Doing the multiplication on the right gives us -6=-6 + b. Add 6 to both sides to get that b = 0. Now let's use that and the slope we found to rewrite the equation in slope-intercept form. y = -1.5x + 0 or y = -1.5x and there you go!