The final score of a figure skating competition is determined by finding the average of six judges' scores. write a formula for the average a of six scores x1, x2, x3, x4, x5, and x6. then solve the formula for x4, the fourth judge's score. a= x4= the table shows the scores given to a figure skater by the judges. the skater receives a final score of 5.7. find the score given by the fourth judge. judge 1 2 3 4 5 6 score 5.6 5.8 5.6 x4 5.9 5.4

a)  

b)

Step-by-step explanation:

a)The judges have given six scores as:

We have to find the average of these scores:

If we want to compute the score of fourth judge, we can rearrange the above equation to get

b) Average score given = 5.7

Judge: 1       2       3       4       5       6

Score: 5.6    5.8    5.6    x      5.9     5.4

Putting the value in the the above equation, we get,

x = 5.9

Thus, the score given by fourth judge is 5.9

Using the mean concept, it is found that:

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To find x4, we replace into the equation for the average, thus:

The fourth judge's score is x4 = 5.9.

A similar problem is given at link

answer: are you

step-by-step explanation: