Order of operations are:
<span>1. Parentheses (simplify inside 'em)
2. Exponents
3. Multiplication and Division (from left to right)
<span>4. Addition and Subtraction (from left to right)
So, on your first one:
Parentheses first:8(3+4)-2*8/(5-3)
8(7)-2*8/(2)
There are no exponents so multiplication and division:56-16/2
56-8
Finally, addition and subtraction:56-8=48
Your second problem is a bit more complicated but follows the same rules:
</span></span>
<span><span>
Parentheses first:</span></span>
<span><span>
Now, exponents. Even though they are inside parentheses, we can't go further until we simply those.
(64+81)/5
Now back to parentheses:(145)/5
Division:
145/5=29
Hope that helps</span></span>
Answer:
920
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
if to re-write all the equations:
A. y=3/2 x-3; y=3/2 x-3; B. y=-7x+10; y=3/2 x+3/2; C. y=x+5; y=-3/4 x+2; D. y=x+1; y= -3/4 x+8.
According to the re-written view the correct answer is 'A'.
The expected value of x is 10.
It is given that the number of dice that are showing an even number is a binomial random variable with n = 4, and p = 1/2 (because half the faces on the die are even and half are odd).
The expected value of this random variable is n*p = 4*1/2 = 2.
The number of points is simply 5 times this random variable, and by the rules of expected value, E(C*Y) = C*E(Y), where C is a constant and Y is a random variable.
Thus E(X) = 5*2 = 10.
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