The Equation for parabola is y=-1/486 x² +6 and the height of the arc 5 feet is: 5 461/486 feet.
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Equation for parabola</h3>
Using this equation to find the equation for parabola
y=a(x-54) (x+54)
y(0)=a(-54) (54)=6
-2916a=6
Divide both side by y6a
a=-2916/6
a=-486
Equation for parabola
y=-1/486 x² +6
Height of the arc 5 feet
When x=5
y=-25/486+6
y=2891/486
=5 461/486 feet
Therefore the Equation for parabola is y=-1/486 x² +6 and the height of the arc 5 feet is: 5 461/486 feet.
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Answer:
Valuable; rare
Explanation:
In the airline industry, frequent flyer programs, ticket kiosks, and e-ticketing are all examples of capabilities that are ___ but no longer ___.
Answer: yes! The chocolate will melt
Explanation: because your hand is warm from the radiation ;)
Answer:
a. 99.30% of the woman meet the height requirement
b. If all women are eligible except the shortest 1% and the tallest 2%, then height should be between 58.32 and 68.83
Explanation:
<em>According to the survey</em>, women's heights are normally distributed with mean 63.9 and standard deviation 2.4
a)
A branch of the military requires women's heights to be between 58 in and 80 in. We need to find the probabilities that heights fall between 58 in and 80 in in this distribution. We need to find z-scores of the values 58 in and 80 in. Z-score shows how many standard deviations far are the values from the mean. Therefore they subtracted from the mean and divided by the standard deviation:
z-score of 58 in= 
= -2.458
z-score of 80 in= 
= 6.708
In normal distribution 99.3% of the values have higher z-score than -2.458
0% of the values have higher z-score than 6.708. Therefore 99.3% of the woman meet the height requirement.
b)
To find the height requirement so that all women are eligible except the shortest 1% and the tallest 2%, we need to find the boundary z-score of the
shortest 1% and the tallest 2%. Thus, upper bound for z-score has to be 2.054 and lower bound is -2.326
Corresponding heights (H) can be found using the formula
and
Thus lower bound for height is 58.32 and
Upper bound for height is 68.83
