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vodomira [7]
3 years ago
12

A 10-yr-old competes in gymnastics. For several competitions, she received the following "All-Around" scores: 35.5, 36.3. 36.6,

and 36.9. Her coach recommends that gymnasts whose "All-Around" scores average at least 36.5 moves up to the next level. What "Ail-Around" scores in the next competition would result in the child being eligible to move up? The child needs a score of _____ to move up to the next level of the competition.
Mathematics
1 answer:
Delicious77 [7]3 years ago
3 0

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

M = \frac{S}{T}

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 T = 5

She has to get a mean of at least 36.5, so M = 36.5

Her scores are: 35.5, 36.3. 36.6, and 36.9. Her last score, i am going to call x. So

S = 35.5 + 36.3 + 36.6 + 36.9 + x = 145.3 + x

The child needs a score of _____ to move up to the next level of the competition.

This score is x. So

M = \frac{S}{T}

36.5 = \frac{145.3 + x}{5}

145.3 + x = 36.5*5

x = 37.2

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3 years ago
The admission fee at an amusement park is $3.50 for children and $7.00 for adults. On a certain day, 331 people entered the park
andriy [413]

Let c be children and a adults.

3.5c + 7a = 1771 (the total revenue is equal to the amounts made off of people)

c + a = 331 (total number of people)

The second formula becomes a = 331 - c. This can be substituted into the first formula.

3.5c + 7(331 - c) = 1771 = 7*331 - 3.5c = 1771. 7*331 = 2317, so 3.5c = 2317 - 1771 = 546.

546/3.5 = 156 = c (number of children).

c + a = 156 + a = 331 => a = 331 - 156 = 175 (number of adults).

There are 156 children and 175 adults

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3 years ago
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<span>Rearrange to isolate dy/dx.
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3 years ago
Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati
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In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
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As we know zeros are that point where we will get value of function equal to zero. So it is basically in form (x_n , 0)

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
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3 years ago
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Step-by-step explanation:

Im not sure how to explain this but i hope this helps!

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