Answer:
The law of large numbers
Step-by-step explanation:
The Law of large numbers states that if we observe more and more reptitiions of any chance process, the proportion of times that a specific outcome occurs approaches a single value.
-2x - 6 squared
Is the simplest form all you do is Distribute
Answer:
125.66 in2
Step-by-step explanation:
The area of the pizza is given by the formula:
Area = pi * radius^2
The radius of the pizza is half the diameter, so radius = 16/2 = 8 inches
Then, the total area is:
Area = pi * 8^2 = 64pi in2
They will put cheese in 5 of the 45° slices, so the total angle covered is 5 * 45° = 225°.
If the full area of the pizza is 360°, we can find the area covered by cheese using a rule of three:
360° -> 64pi in2
225° -> x in2
x = (225/360) * 64pi
x = 125.66 in2
Z = ( 135 - μ ) / σ = -1
<span>z = ( 165 - μ ) / σ = 1 </span>
<span>P (x < 135) = P (z < -1) = 0.1587 </span>
<span>P (165 < x) = P (1 < z) = 0.1587 </span>
<span>.187 * 1000 = 187 more than 165 </span>
<span>.187 * 1000 = 187 less than 135</span>
Decompose the terms in the sum as
so there are 20 terms in the sum. Then our sum simplifies to
Now, if
we can reverse the order of terms to get the same sum,
so that doubling up the sum gives
So, our sum evaluates to
