Answer:
50.2 square cm
Step-by-step explanation:
Diameter = 8 cm
Radius = 8/2 = 4 cm
The new Circular community water fountain has a diameter of 192 feet. What is the area of the surface of the circular community
1 answer:
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Answer:
a. .
b.
Step-by-step explanation:
By the definition, the expected value of a random variable X with probability mass function p is given by where the sum runs over all the posible values of X. Given a function g, the random variable Y=g(X) is defined. Note that the function g induces a probability mass function P' given by P'(Y=k) = P(X=g^{-1}(k)) when the function g is bijective.
a. Note that for 1/3ln(2)+1/6ln(5) by choosing the function g(x) = ln(x) the expression coincides with E(g(x)), because if Y = g(x) then E(Y) = P'(Y=1)*ln(1)+P'(Y=2)*ln(2)+P'(Y=5)*ln(5) = P(X=1)*ln(1)+P(X=2)*ln(2)+P(X=5)*ln(5).
b. On the same fashion, the function g(x) = xe^{xt} fullfills the expression of E[g(X)]
<h3>Answer: 414 square yards</h3>
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Explanation:
Surround the entire figure in a bounding rectangle as shown below.
This surrounding rectangle is 23 by 27. It's total area is 23*27 = 621 square yards.
For a moment, let's ignore the 3x3 section marked in the dashed lines. The empty space in the bottom left corner is 15+3 = 18 by 9+3 = 12. Its area is 18*12 = 216 square yards. Accounting for the dash line 3x3 section means we subtract 9 from the 216 to get 216-9 = 207. The empty space takes up 207 square yards.
So the purple region must take up 621-207 = 414 square yards