Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides
1 answer:
Answer: Team A will choose one of 36 possible lineups.
Step-by-step explanation: Given that Team A and Team B are playing the game of tug-of-war.
Team A has 3 males and 3 females that decides to line up male, female, male, female, male, female.
We are to find the number of possible lineups that Team A can make.
According to the given information,
number of options for the first position = 3,
number of options for the second position = 3,
number of options for the third position = 2,
number of options for the fourth position = 2,
number of options for the fifth position = 1
and
number of options for the sixth position = 1.
Therefore, the number of possible lineups by Team A is
Thus, Team A will choose one of 36 possible lineups.
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Answer:
The swimmer must complete the 200-meter backstroke in no more than 130 seconds.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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 problem, we have that:
Fastest 6%
At most in the 6th percentile, that is, at most a value of X when Z has a pvalue of 0.07. So we have to find X when Z = -1.555.
The swimmer must complete the 200-meter backstroke in no more than 130 seconds.