To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 42.5 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 42.5 is 100%, so we can write it down as 42.5=100%. 
4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%. 
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
(42.5/x)*x=(100/76.8)*x - we multiply both sides of the equation by x
42.5=1.30208333333*x - we divide both sides of the equation by (1.30208333333) to get x
42.5/1.30208333333=x 
32.64=x 
x=32.64

now we have: 
76.8% of 42.5=32.64

6 0

4 years ago

A sixteen-sided number cube has the numbers 1 through 16 on each face. Each face is equally likely to show after a roll. What is

KonstantinChe [14]

Probaility in general is defined as the ratio of positive outcomes over the total number of outcomes.

In the first example, the total outcomes are 16; let us count the positive ones. There are 8 even numbers from 1-16. The prime numbers are 2,3,5,7,11,13. Out of those, only 5 are odd. Hence, in total there are 13 positive outcomes. Thus, the probability is 13/16=81.25%

Let's restrict the problem to the students that studied for the exam; the proportion is 0.57 of the total students. 0.52 of the total students studied and saw an increase in their exam. Hence, the probability that a student who studied saw an increse is 0.52/0.57 (here a positive outcome is the proportion that saw an increase and the total outcomes are all the students that studied). 0.52/0.57=91.22%

5 0

4 years ago

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