<span>(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft</span>³
<span>
(b) How much material was used to make the container?
Surface area = sum of 6 faces of the prism
4 ft x 3 ft = 12 ft</span>² → 12 ft² x 2 = 24 ft²
<span>4 ft x 2 ft = 8 ft</span>² → 8 ft² x 2 = 16 ft²
<span>2 ft x 3 ft = 6 ft</span>² → 6 ft² x 2 = 12 ft²
<span>
Surface area = 24 ft</span>² + 16 ft² + 12 ft² = 52 ft²<span>
</span>
Answer:
-764.28
Step-by-step explanation:
Given the joint cumulative distribution of X and Y as
#First find 
and probability distribution function ,
:
#Have determined the probability distribution unction ,, we calculate the Expectation of the random variable X:
#We then calculate 
:
Hence, the Var(X) is 764.28
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Alright, so in PEMDAS, we first do exponents. 3^2=9, and we then have 5(9)-3(3)+2. After that, we have multiplication, where we have 5*9 =45 and 3*3=9, resulting in 45-9+2 and eventually 38
Answer:
-2(21y-58)
Step-by-step explanation:
1.) Factor out -2 from the expression
2.)Distribute the three through the parenthesis
3.)distribute 5
4.)add the y’a together
5.)subtract -18-40
