Answer:
With replacement, there are 1600 possible outcomes.
Without replacement, there are 1560 possible outcomes.
Step-by-step explanation:
Chosen with replacement:
State is chosen, then put back in the group, then another state can be chosen. In both cases, there will be 40 possible outcomes, as the first taken state is placed back. So
40*40 = 1600
With replacement, there are 1600 possible outcomes.
Chosen without replacement:
State and chosen and is not replaced.
So, for the second state, there will be only 39 possible outcomes.
40*39 = 1560
Without replacement, there are 1560 possible outcomes.
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
Answer:
0.143059384
Step-by-step explanation:
=> 
=> 
=> 
=> 
=> 0.143059384
So first remember the order of operations. Parentheses, exponents, multiply, divide, addition, subtraction.
So we have the following problem.
-(3*2)2+4*3-2
Multiply the three and two inside the parentheses first.
-6*2+4*3-2
Next multiply any numbers that need multiplied.
-12+12-2
Next add and subtract from left to right to get an answer of...
-2
Hope this helps!
