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12345 [234]
3 years ago
15

he two-way table shows the medal count for the top-performing countries in the 2012 Summer Olympics. A 5-column table has 5 rows

. The first column has entries United notes, China, Russia, Great Britain, Total. The second column is labeled Gold with entries 46, 38, 24, 29, 137. The third column is labeled Silver with entries 29, 27, 26, 17, 99. The fourth column is labeled Bronze with entries 29, 23, 32, 19, 103. The fifth column is labeled Total with entries 104, 88, 82, 65, 339. Which statement is true? The probability that a randomly selected silver medal was awarded to Great Britain is StartFraction 17 Over 99 EndFraction. The probability that a randomly selected medal won by Russia was a bronze medal is StartFraction 32 Over 103 EndFraction. The probability that a randomly selected gold medal was awarded to China is StartFraction 88 Over 137 EndFraction. The probability that a randomly selected medal won by the United States was a silver medal is StartFraction 104 Over 339 EndFraction.
Mathematics
1 answer:
Cloud [144]3 years ago
7 0

Answer:

The all-time medal table for all Olympic Games from 1896 to 2018, including Summer Olympic Games, Winter Olympic Games, and a combined total of both, is tabulated below. These Olympic medal counts do not include the 1906 Intercalated Games which are no longer recognized by the International Olympic Committee (IOC) as official Games. The IOC itself does not publish all-time tables, and publishes unofficial tables only per single Games. This table was thus compiled by adding up single entries from the IOC database.[1]

The results are attributed to the IOC country code as currently displayed by the IOC database. Usually, a single code corresponds to a single National Olympic Committee (NOC). When different codes are displayed for different years, medal counts are combined in the case of a simple change of IOC code (such as from HOL to NED for the Netherlands) or simple change of country name (such as from Ceylon to Sri Lanka). As the medals are attributed to each NOC, not all totals include medals won by athletes from that country for another NOC, such as before independence of that country. Names in italic are national entities that no longer exist. The totals of NOCs are not combined with those of their predecessors and successors.

Step-by-step explanation:

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A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam
Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 65, \sigma = 8.2

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 65}{8.2}

X - 65 = -1.96*8.2

X = 48.93

The score that cuts off the bottom 2.5% is 48.93.

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