1. TRIATHLON The course for a local
1 answer:
The biking portion of the triathlon is 11.7 miles far
Step-by-step explanation:
Let us revise the relation between the two legs of a right triangle and
the hypotenuse
Hypotenuse =
To find the length of the hypotenuse
1. Square the length of each leg
2. Add the squares of the legs
3. Find the square root of the sum
∵ The legs of the triangle consist of a 4 mile swim and a 11 mile run
∴ = 4
∴ = 11
∵ ( )² = (4)² = 16
∵ ( )² = (11)² = 121
∴ ( )² + (
)² = 16 + 121 = 137
∵ The hypotenuse of the triangle is the biking portion of the event
∵ Hypotenuse =
∴ Hypotenuse = = 11.7
The biking portion of the triathlon is 11.7 miles far
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Answer:
She should offer a guarantee of 13.76 years.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be 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.
The average life of a certain type of small motor is 10 years with a standard deviation of 2 years.
This means that
If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?
She should offer the 100 - 3 = 97th percentile as a guarantee, so X when Z has a pvalue of 0.97, that is, X when Z = 1.88.
She should offer a guarantee of 13.76 years.