What is a equivalent ratio for 11/2
1 answer:
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Answer:
a) 3354 seconds
b) 6294 seconds
Step-by-step explanation:
When the distribution is normal, we use 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.
(a) The cutoff time for the fastest 5% of athletes in the men's group, i.e. those who took the shortest 5% of time to finish.
The cutoff for the shortest 5% is the 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.
Cutoff of 3354 seconds.
(b) The cutoff time for the slowest 10% of athletes in the women's group.
The slowest 10% is the 10% that takes more time, so the cutoff is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9. So X when Z = 1.28.
Cutoff time of 6294 seconds
The linear function which represents the line given by the point-slope equation is (B) .
- The word linear function in mathematics refers to two distinct but related concepts.
- A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
To find the linear function which represents the line given by the point-slope equation:
Given:
Distribute the right side:
Adds 8 on both sides:
Convert to function notation:
Therefore, the linear function which represents the line given by the point-slope equation is (B) .
Know more about linear functions here:
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The complete question is given below:
Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals start fraction one-half end fraction left-parenthesis x minus 4 right-parenthesis. (x – 4)?
A) F(x) = f(x) equals StartFraction one-half EndFraction x plus 4.X + 4
B) f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.
C) X + 6 f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.X –10
D) f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.X – 12