Answer:
Step-by-step explanation:
Convert the mixed numbers above to improper fractions
Rule of basic operation states that when dividing fractions, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that 7/6 becomes 6/7.
Converting the answer above to mixed number result to:
Answer:
Devon has the lower z-score, so he ran the mile faster relative to his gender.
Step-by-step explanation:
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.
Who ran the mile faster relative to their gender?
The lower the percentile of time ran, the faster. So whoever has the lower z-score ran the mile faster.
Devon
His best time to run the mile is 6.6 minutes.
These times are approximately normal with mean 8 minutes and standard deviation 1 minute.
We have to find Z when . So
Kendall
Her best time to run the mile is 5.7 minutes.
These times are approximately normal with mean 7.5 minutes and standard deviation 2 minutes.
We have to find Z when . So
Devon has the lower z-score, so he ran the mile faster relative to his gender.
Answer:
The probability that a high school member selected at random is on the swim team is
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: High school student.
Event B: Is on the swin team.
Probability of selecting a high school student:
Of the 1500 students, 200 are on high school. So
Probability of selecting a high school student who swims:
Of the 1500 students, 45 are high school students who swim. So
What is the probability that a high school member selected at random is on the swim team?
The probability that a high school member selected at random is on the swim team is