Step-by-step explanation:
Actually, it isn't that hard. Remember the difference of squares? (a + b)(a - b) = a² - b² and in this case 9 is a and 4x is b so our answer is 81 - 16x².
Answer:
The test statistic would be given by:
(1)
And replacing we got:
Step-by-step explanation:
Information given
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic
System of hypothesis
We want to test if the true mean is lower than 25, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The test statistic would be given by:
(1)
And replacing we got:
The length of XY equals infinity
Answer:
Part a) The elevation of the road is
Part b) The rise is
Step-by-step explanation:
Part a) What is the elevation of the road to the nearest degree?
Let
y-----> the rise of the road ( vertical distance)
x ----> the run of the road (horizontal distance)
we have
y/x=1/10
we know that
The ratio y/x is equal to the tangent of the angle of the elevation of the road
Let
----> angle of the elevation of the road
Part b) If the road is two km long, how much does it rise?
using proportion
Answer:
x = 13
Step-by-step explanation:
No se exactamente como decir esto porque yo ayudo la majoria de los usuario en ingles pero hay que usar un método para describir a x
Un método que se llama Pythagorean theorem
Pythagorean theorem: a^2 + b^2 = c^2 donde a^2 = 5 b^2 = 12 y c^2 = x
Entonces…
5^2 + 12^2 = c^2
Nota: podemos ver que esto esta bien porque el sum de los dos lados suma el mas largo.
Ahora
25 + 144 = c^2
c^2 = 169
Pero eso no puede ser la respuesta porque no tiene sentido a que x sea un lado que mide 169 entonces tenemos que usar sqrt rt
sqrt rt de 169 = 13
x = 13