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Natalka [10]
3 years ago
6

Referees of high school soccer games will end a game at half time if a team is ahead or behind by at least 8 goals. During the d

istrict championship game, the applewood soccer team had scored 11 goals in the first half. Graph an inequality that represents the possible goals, g, scored by the opposing team if the referees end the game at half time

Mathematics
1 answer:
slavikrds [6]3 years ago
6 0

If at the end of the first half, the difference between the goals scored by the applewood team and the opposing team is greater than or equal to 8, then the referee will finish the game at the end of the first half.

If we call g the number of goals scored by the opposing team, then we can express this situation as an inequality:

11-g \geq 8\\g \leq 11-8\\g \leq 3

However, it is impossible for a team to score -1 goal. Therefore the number of goals scored by the opposing team must be a number greater than 0.

So, the inequality is:

g \leq 3 and g \geq 0

0 \leq g \leq 3

The attached figure shows the graph for this inequality, which represents the number of goals that the opposing team could score if the referee finished the game in the first half.

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Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school. What is the mean
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Answer:

The mean of sampling distribution of the proportion of the students who prefer later start times for school

                        μₓ = p = 0.63

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given sample size 'n' =200

given data Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school

sample proportion

                        p = \frac{x}{n} = \frac{126}{200} = 0.63

The mean of sampling distribution of the proportion of the students who prefer later start times for school

                        μₓ = p = 0.63

Standard deviation of the proportion

                     S.D = \sqrt{\frac{p(1-p)}{n} } = \sqrt{\frac{0.63(1-0.63)}{200} } = 0.034

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4 years ago
What is 10⁰ simplified ​
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3 years ago
What is 22/209 in lowest terms?
Allisa [31]

Answer:2/19

Step-by-step explanation:

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3 years ago
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Using the following image, solve the problems below given that Q is the midpoint of PR.​
DochEvi [55]

Answer:

x=18

pq=101

qr=101

pr=202

Step-by-step explanation:

6x-7=5x+11

+5x pasa a restar como -5x al primer miembro y -7 pasa como +7x al segundo miembro y la ecuacion quedaria asi:

6x-5x=11+7

6x-5x=x

11+7=18

entonces x=18

pq=6x-7

pq=6(18)-7

pq=108-7

pq=101

y como se sabe que pq=qr porque hay un punto medio y dos segmentos cuando los divide un punto medio esos dos segmento miden igual entonces

por eso pq=qr

y como pq=101  qr=101

por ultimo

pr=pq+qr

pr=101+101

pr=202

3 0
4 years ago
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