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morpeh [17]
2 years ago
7

Andres playsa soccer video game. He earns 3 stars for every goal hs scores and loses 3/4 stars every time he misses the goal. He

scores 5 goals and misses the goal 4 times. How many stares does he have
Mathematics
1 answer:
bekas [8.4K]2 years ago
6 0

Answer:

Andres has 12 stars.

Step-by-step explanation:

  • 3 stars - 1 goal
  • -3/4 stars - Missed goal
  • Scored 5
  • Missed 4

3 * 5 = 15

He has 15 stars but then misses 4 goals.

3/4 * 4 = 3

He loses 3 stars becuase he missed 4 goals.

15 - 3 = 12

He ends with 12 stars.

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Answer: P(22 ≤ x ≤ 29) = 0.703

Step-by-step explanation:

Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = output of the machine in ounces per cup.

µ = mean output

σ = standard deviation

From the information given,

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σ = 3

The probability of filling a cup between 22 and 29 ounces is expressed as

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For x = 22,

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Looking at the normal distribution table, the probability corresponding to the z score is 0.047

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Looking at the normal distribution table, the probability corresponding to the z score is 0.75

Therefore,

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