Answer:
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.
[my response: talk to them in formal language about the topic.]
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
<span>1. We assume, that the number 42.5 is 100% - because it's the output value of the task. </span>
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 42.5 is 100%, so we can write it down as 42.5=100%. </span>
<span>4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%. </span>
5. Now we have two simple equations:
1) 42.5=100%
2) x=76.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42.5/x=100%/76.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 76.8% of 42.5
42.5/x=100/76.8
<span>(42.5/x)*x=(100/76.8)*x - </span>we multiply both sides of the equation by x
<span>42.5=1.30208333333*x - </span>we divide both sides of the equation by (1.30208333333) to get x
<span>42.5/1.30208333333=x </span>
<span>32.64=x </span>
x=32.64
<span>now we have: </span>
<span>76.8% of 42.5=32.64</span>
16 × 6.7 = 107.2
your answer is 107.2
This equation is a direct variation. If y increases, x increases. The constant of variation is 4 I think. Hope that helped.