Answer:
The child needs a score of 37.2 to move up to the next level of the competition.
Step-by-step explanation:
The mean is the sum of all scores divided by the number of competions. So
[tex]M = \frac{S}{T}[/tex]
In which S is the sum of all her scores and T is the number of competitions.
The child has five competions:
Which means that [tex]T = 5[/tex]
She has to get a mean of at least 36.5, so [tex]M = 36.5[/tex]
Her scores are: 35.5, 36.3. 36.6, and 36.9. Her last score, i am going to call x. So
[tex]S = 35.5 + 36.3 + 36.6 + 36.9 + x = 145.3 + x[/tex]
The child needs a score of _____ to move up to the next level of the competition.
This score is x. So
[tex]M = \frac{S}{T}[/tex]
[tex]36.5 = \frac{145.3 + x}{5}[/tex]
[tex]145.3 + x = 36.5*5[/tex]
[tex]x = 37.2[/tex]
