Mathematics, 09.07.2019 05:30 caromaybelline71

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

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a) $\text{Average of Scores} = \frac{\text{Sum of all scores}}{\text{Total Number of scores}}\\\\ = \frac{x_1+x_2+ x_3+ x_4+ x_5+ x_6}{6}$

x_4 = 6A - (x_1+x_2+x_3+x_5,+x_6)

b) x_4 = 5.9

Step-by-step explanation:

a)The judges have given six scores as: x_1, x_2, x_3, x_4, x_5, x_6

We have to find the average of these scores:

$\text{\bold{Average of Scores}} = \frac{\text{Sum of all scores}}{\text{Total Number of scores}}\\\\ = \frac{x_1+x_2+ x_3+ x_4+ x_5+ x_6}{6}$

If we want to compute the score of fourth judge, we can rearrange the above equation to get x_4

x_4 = 6A - (x_1+x_2+x_3+x_5,+x_6)

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 = 6(5.7) - (5.6+5.8+5.6+5.9+5.4)

x = 5.9

Thus, the score given by fourth judge is 5.9

x_4 = 5.9

Answer from: MyaaaMoney

Using the mean concept, it is found that:

The average is given by $A = \frac{x1 + x2 + x3 + x4 + x5 + x6}{6}$ The fourth judge's score is x4 = 5.9.

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

The mean, which is the average A, is given by the sum of all scores divided by the number of scores.There are 6 scores, x1, x2, x3, x4, x5 and x6.Thus, the average is:

$A = \frac{x1 + x2 + x3 + x4 + x5 + x6}{6}$

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

Average of 5.7, thus, A = 5.7

The grades are: x1 = 5.6, x2 = 5.8, x3 = 5.6, x5 = 5.9, x6 = 5.4

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

$A = \frac{x1 + x2 + x3 + x4 + x5 + x6}{6}$

$5.7 = \frac{5.6 + 5.8 + 5.6 + x4 + 5.9 + 5.4}{6}$

28.3 + x4 = 34.2

x4 = 34.2 - 28.3

x4 = 5.9

The fourth judge's score is x4 = 5.9.

A similar problem is given at link

Answer from: Quest

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

Answer from: Quest

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

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