Sets of three integers that could be right triangles are called pythagorean triples. the only pythagorean triple including 7 is 7, 24, and 25. so the length of the other leg is 24 and the length of the hypotenuse is 25. hope this helped!
Answer:
If 4 fish are randomly selected, what is the probability that the mean weight will be between 9.6 and 15.6 lb? Round your answer to four decimal places.
Exact Area = 98pi
Approximate Area = 307.8760800518 (use calculator stored version of pi)
Approximate Area = 307.72 (using pi = 3.14)
Units are in square millimeters
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Explanation:
In 60 seconds, the hand sweeps out a full circle of radius 14. The area of this circle is
A = pi*r^2 = pi*14^2 = 196pi
Half of this is what the hand sweeps out in 30 seconds, so A/2 = (196pi)/2 = 98pi is the exact area it sweeps out. Your calculator would then show 98pi = 307.8760800518 approximately
If instead you use pi = 3.14, then the approximate area is 98*3.14 = 307.72
Answer:
C
Step-by-step explanation:
Answer:
<em>84%</em><em> of the wage earners earn less than $14,000 each. </em>
Step-by-step explanation:
The Empirical Rule (68-95-99.7%)-
According to this around 95% of the data will fall within two standard deviations of the mean.
As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.
As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.
i.e ![2\sigma=18000-10000=8000](https://tex.z-dn.net/?f=2%5Csigma%3D18000-10000%3D8000)
![\Rightarrow \sigma = 4000](https://tex.z-dn.net/?f=%5CRightarrow%20%5Csigma%20%3D%204000)
We know that,
![Z=\dfrac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
where,
X = raw score = 14,000
μ = 10,000
σ = 4,000
Putting the values,
![Z=\dfrac{14000-10000}{4000}=\dfrac{4000}{4000}=1](https://tex.z-dn.net/?f=Z%3D%5Cdfrac%7B14000-10000%7D%7B4000%7D%3D%5Cdfrac%7B4000%7D%7B4000%7D%3D1)
Now, calculating the value from the z score table,
![P(1)=0.8413=84.13\%](https://tex.z-dn.net/?f=P%281%29%3D0.8413%3D84.13%5C%25)
As the probability at
is the area below that, so 84% of the wage earners earn less than $14,000 each.