Phil had 2 quarters, 1 dime and 3 pennies = 63 cents
Paul had 2 nickles = 10 cents
Total 63 + 10 = 73 cents
If Paul had 1 cent more than Phil, then Paul would have 37 cents and Phil would have 36 cents
but Paul had 10 cents
10 cents + 27 cents = 37 cents
so
1 quarter and 2 pennies Phil gave to Paul, total 27 cents
Answer
Phi gave Paul 1 quarter and 2 pennies.
Answer:
<em>4 + 7x – 2</em>
Step-by-step explanation:
<u>Equivalent Expressions</u>
Let's find out which expressions are equivalent by simplifying them. One of the expressions should be not equivalent to the other three.
Simplifying
Now for the second expression
The third expression simplifies to
Finally, this is the simplification for the expression
As seen, the only expression not equivalent to the other three is 4 + 7x – 2
Answer:
x=48
Step-by-step explanation:
48/4=12
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Answer:
AD also equal 14
Step-by-step explanation:
Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2<em>X </em>² - <em>Y</em>.
If you don't know how <em>X</em> or <em>Y</em> are distributed, but you know E[<em>X</em> ²] and E[<em>Y</em>], then it's as simple as distributing the expectation over the sum:
E[2<em>X </em>² - <em>Y</em>] = 2 E[<em>X </em>²] - E[<em>Y</em>]
Or, if you're given the expectation and variance of <em>X</em>, you have
Var[<em>X</em>] = E[<em>X</em> ²] - E[<em>X</em>]²
→ E[2<em>X </em>² - <em>Y</em>] = 2 (Var[<em>X</em>] + E[<em>X</em>]²) - E[<em>Y</em>]
Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.
