Answer:
\mu = 14.5\\
\sigma = 5.071\\
k = 1.084
Step-by-step explanation:
given that a statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.
i.e. his findings with respect to probability are

Recall Chebyshev's inequality that

Comparing with the Ii equation which is appropriate here we find that

Next what we find is

Thus from the given information we find that

Answer:
Correct choice is 2. 
Step-by-step explanation:
We have been given a graph of the quadratic function. Now we need to use that graph to find the equation of the graph in vertex form. By the way given choices written in intercept form so to be accurate we are going to find the equation in intercept form.
from graph we see that x-intercepts are at 5 and -2.
we know that if x=a is x-intercept then (x-a) must be factor.
So (x+2)(x-5) is the factor.
when leading coefficient is positive then graph opens upward.
so that means leading coefficient is 0.4
Hence correct choice is 2. 
The midpoint of the segment is (-15/2, -15/2)
<h3>How to determine the midpoint?</h3>
The complete question is in the attached image
The points are given as:
(-8, -7) and (-7, -8)
The midpoint is calculated as:
(x,y) = 1/2 * (x1 + x2, y1 + y2)
So, we have:
(x,y) = 1/2 * (-8 - 7, -7 - 8)
Evaluate the difference
(x,y) = 1/2 * (-15, -15)
Evaluate the product
(x,y) = (-15/2, -15/2)
Hence, the midpoint of the segment is (-15/2, -15/2)
Read more about midpoints at:
brainly.com/question/4747771
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Answer:
192 points
Step-by-step explanation:
he earned 120 points for passing 6 levels and getting 20 points per level
he earned 72 points for racing 45 laps and getting 24 points per every 15 laps
90ft by 7ft gives an area of:
90 x 7 = 630 sq ft
1/2 fl oz is needed for each square foot
630 x 1/2 = 315 fl oz required.