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lakenyagillard79
14.02.2020 •
Mathematics
Ski jump When ski jumpers take off, the distance they fly varies considerably depending on their speed, skill, and wind conditions. Event organizers must position the landing area to allow for differences in the distances that the athletes fly. For a particular competition, the organizers estimate that the variation in distance flown by the athletes will be s = 10 meters. An experienced jumper thinks that the organizers are underestimating the variation.
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Ответ:
H(o) : ∆ = 10
H(a) : > ∆ 10
Step-by-step explanation:
From the given information we could deduce the alternative hypotheses, we use the symbol for the population value. Proportion (p)
Mean (U)
Standard deviation (∆)
1. The null hypothesis states that the population value is = to the value mentioned in the claim
Therefore, H(o) : ∆ = 10
2. The alternative hypothesis states that the opposite of the null hypothesis (According to the claim)
H(a) : ∆ > 10
∆ is the population standard deviation of the distance flown by the athletes.
Ответ:
Note: (f/g)(x) can be written as
f(x)/g(x). This simply means f(x) divided by g(x).
We know what f(x) and g(x) are because that information is given to us in the problem. See it?
Set up the rational function and factor.
(x^2 - 9)/(x^2 -4x + 3)
We now factor the top and bottom.
(x - 3)(x + 3)/(x - 3)(x - 1)
Cancel out common terms.
We now have (x + 3)/(x - 1) as the reduced rational function.
To find the domain, set the bottom to 0 and solve for x.
x - 1 = 0
x = 1
The domain is ALL REAL NUMBERS EXCEPT FOR 1. In the given function, x CANNOT BE 3 because this would create a zero in the denominator.
Answer in interval notation is
(-00, 1) U (1, 3) U (1, 00).
The interval notation reads as follows:
All negative numbers included but not 1 united with the open interval that does not include 1 and 3 united with the interval that excludes 1 but includes all positive numbers greater than 1. I hope this is clear.