Answer:
19.58 unit²
Step-by-step explanation:
To find the area of the shaded region, we use the formula:
As we know that,
= 
=36πunit²
Next is to split up the hexagon into 6 regular triangles.
=6 x 
the base is equal to the radius i.e 6 as the triangles are regular.The height can be represented by taking one of the triangles and drawing a line down the middle.
So, the newly formed triangle is a 30°-60°90° right triangle.
(see figure 1 in attachment)
Here, a= 6/2=> 3
h= a√3 => 3√3
Substituting the required values in the formula of area of hexagon, we get
=> 54√3unit²
=36π-54√3
= 19.58 unit²
Answer:
-13x^2 + 6x + 11
Step-by-step explanation:
Just subtract the numbers that are similar (i.e. -5x^2 - 8x^2)
The Z- score representing the 99th percentile is given by 2.33
Problems of commonly distributed samples can be solved using the z-score formula.
For a set with a standard deviation, the z-score scale X is provided by:
Z = ( x- mean )/ standard deviation
Z-score measures how many standard deviations are derived from the description. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the scale is less than X, that is, the X percentage. Subtract 1 with p-value, we get the chance that the average value is greater than X.
To Find the z-result corresponding to P99, 99 percent of the normal distribution curve.
This is the Z value where X has a p-value of 0.99. This is between 2.32 and 2.33, so the answer is Z = 2.33
For more information regarding normal distribution, visit brainly.com/question/12691636
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