The expected value is given by:
E(x)= ∑x*p(x)
thus the expected value of calories will be given by:
E(x)=1/6*60+1/2*42+1/3*90
E(x)=10+21+30
E(x)=61
the answer is 61
Answer:
27x - 2
Step-by-step explanation:
First off, we use commutative property to get the like terms together.
(20x + 7x) - (3-5)
Now we can solve the equations inside the parenthesis.
27x - (-2)
Because these aren't like terms, this is as far as we can go. Meaning 27x - 2
is out answer.
<em>Given - a+b+c = 0</em>
<em>To prove that- </em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
<em>Now we know that</em>
<em>when x+y+z = 0,</em>
<em>then x³+y³+z³ = 3xyz</em>
<em>that means</em>
<em> (x³+y³+z³)/xyz = 3 ---- eq 1)</em>
<em>Lets solve for LHS</em>
<em>LHS = a²/bc + b²/ac + c²/ab</em>
<em>we can write it as LHS = a³/abc + b³/abc + c</em><em>³</em><em>/abc</em>
<em>by multiplying missing denominators,</em>
<em>now take common abc from denominator and you'll get,</em>
<em>LHS = (a³+b³+c³)/abc --- eq (2)</em>
<em>Comparing one and two we can say that</em>
<em>(a³+b³+c³)/abc = 3</em>
<em>Hence proved,</em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
Answer: 40%
Step-by-step explanation: all percents add to 100%, so 40%+20%=60%, and 100%-60%=40%
