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:

---------------------------

---------------------------

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

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

cheater

step-by-step explanation: