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Elena L [17]
3 years ago
15

In a game that lasts exactly 50 mins,there are 12players and 8 reserves who alternate equally with each player.If they're on the

field @ the. Time,how long will this be
Mathematics
1 answer:
pentagon [3]3 years ago
4 0

Answer:

The answer to the question is

30 minutes

Step-by-step explanation:

To solve the question we recall the following

Duration of game = 50 minutes

Number of players per game = 12  

Number of reserves = 8

Total number of players = 8 + 12 = 20

Therefore 12 players play for 50 minutes

Therefore 20 players will play for \frac{12}{20} *50 minutes each or 30 minutes each

Each player will have a thirty minutes turn to play on the fleld

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A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with
tia_tia [17]

Answer:

Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>

So, X ~ N(\mu = 12.56, \sigma^{2} = 6.7^{2})

The z score probability distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 12.56 hours

           \sigma = standard deviation = 6.7 hours

So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X \leq 12)

    P(X < 15) = P( \frac{X-\mu}{\sigma} < \frac{15-12.56}{6.7} ) = P(Z < 0.36) = 0.64058

    P(X \leq 12) = P( \frac{X-\mu}{\sigma} \leq \frac{12-12.56}{6.7} ) = P(Z \leq -0.08) = 1 - P(Z < 0.08)

                                                     = 1 - 0.53188 = 0.46812

<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>

Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.                                                 

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3 years ago
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