Answer:
Step-by-step explanation:
a)
Test statistic:




here test statistic lie in rejection region,that why null hypothesis fails
so Yes, its significant.
b)
Test statistic:




c)
sample variability increases, therefore likelihood of rejecting the null hypothesis decreases.
We have that the spring is going to have a sin or a cos equation. We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. Let's fix this as the positive edge. Until now, we have that the function is of the form:
6sin(at+B). We have that the period is 4 minutes and hence that the time component in the equation needs to make a period (2pi) in 4 minutes. Thus 4min*a=2p, a=2p/4=pi/2. In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6. Substituting, we have f(t)=6sin(pi*t/2+pi/2)=6cos(pi*t/2)
by trigonometric identities.
Answer:
It is not possible to draw a triangle with given measurements of 3.5, 3.5, and 9.
Step-by-step explanation:
<em><u>Scalene Triangle</u></em> - All 3 sides have different lengths.
<em><u>I</u></em><em><u>s</u></em><em><u>osceles</u></em><em><u> </u></em><em><u>Triangle</u></em> - 2 sides have equal lengths.
<em><u>Equilateral</u></em><em><u> </u></em><em><u>Triangle</u></em> - All 3 sides have equal lengths.
You must be thinking that it would be Isosceles triangle, but it is not. The measurements you gave is 3.5, 3.5, and 9. Grab a piece of paper, ruler, and a pencil. First draw the length of 9 cm with your pencil and ruler (let us pretend that the measurements are in cm). Then draw 3.5 cm by placing your ruler on the end/start of your 9cm line that you drew before. Then, once again draw a 3.5 cm on the other end of the 9cm line. You will see something like the picture above. You can see that the two sides of the triangle are not intersecting on the top. This means that the triangle formation cannot be made by the given measurements of 3.5, 3.5, and 9.
I hope you understand my answer and this is an easy way to find if, from the given measurements, a triangle is able to be drawn. Thank you !!
It's Dublin - San Juan
Departure Friday at 1:30 Pm (Dublin Time) ==> Time San Juan 9:30 (-4 Hours)
Travel time 16 Hrs ( Dub Sat at 6:30PM) & arriving San JUan on Sat at 9:30 +16;30 26 that means 2 AM (26-24)