Answer:
Step-by-step explanation:
Point (3,0) is system solution.
<h3>What is inequality?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
We have
y> -2
x + y <4
First inequation:
-5> -2 (incorrect)
Second inequality:
1-5 <4 (correct)
First inequation:
0> -2 (correct)
Second inequality:
0+3 <4 (correct)
First inequation:
-2> -2 (incorrect)
Second inequality:
-1-2 <4 (correct)
First inequation:
5> -2 (correct)
Second inequality:
1+5 <4 (incorrect)
Hence, Point (3,0) is system solution.
Learn more about inequality here:
brainly.com/question/20383699
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27.9+212.5= 240.4
Hope I helped!
Answer:
u = 4.604 , s = 2.903
u' = 23.025 , s' = 6.49
Step-by-step explanation:
Solution:
- We will use the distribution to calculate mean and standard deviation of random variable X.
- Mean = u = E ( X ) = Sum ( X*p(x) )
u = 1*0.229 + 2*0.113 + 3*0.114 + 4*0.076 + 5*0.052 + 6*0.027 + 7*0.031 + 8*0.358.
u = 4.604
- Standard deviation s = sqrt ( Var ( X ) = sqrt ( E ( X^2) + [E(X)]^2
s = sqrt [ 1*0.229 + 4*0.113 + 9*0.114 + 16*0.076 + 25*0.052 + 36*0.027 + 49*0.031 + 64*0.358 - 4.604^2 ]
s = sqrt ( 8.429184 )
s = 2.903
- We will use properties of E ( X ) and Var ( X ) as follows:
- Mean = u' = E (Rate*X) = Rate*E(X) = $5*u =
u' = $5*4.605
u' = 23.025
- standard deviation = s' = sqrt (Var (Rate*X) ) = sqrt(Rate)*sqrt(Var(X)) = sqrt($5)*s =
s' = sqrt($5)*2.903
u' = 6.49
the top is adding 1 and the bottom is subtracting 5
