Original Perimeter = 2.5 + 2.5 + 1.5 + 1.5 = 8
The longer dimension is 2.5 as 2.5 > 1.5To make 2.5 into 10, we must multiply by 4For the smaller length, we must also multiply by 41.5 x 4 = 6
New Perimeter = 10 + 10 + 6 + 6 = 32
Now find the difference between the old and the new perimeter32 - 8 = 24
<em>*No units were specified - if included, remember to put them in your answer.</em>
answer this should be it 15460
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)]
We start qt 72 degrees,
3 1/5 = 16/5 = 3.2 x 10 minutes = 32 degrees.
72 + 32 = 104 degrees.
Cool Time:
4 2/7 = 30/7 = 4.28571429 x 7 minutes = 30 degrees.
104 - 30 = 74
So we went from 72 to 74 degrees, that is a 2 degree difference.
This is what i got, i hope i understood the question correctly.v
Answer:
27 units²
Step-by-step explanation:
Cut the figure into a 8 by 3 rectangle and triangle.
The area of the rectangle is 8*3 or 24
The area of the triangle is 3 using the formula 1/2bh where the base and height are 3.
Adding those 2 areas together 24+3 will equal 27
