Answer: The boundaries of 9 pounds are;
8.5 – 9.5 pounds
Step-by-step explanation: Method used to find the boundaries.
The boundaries of an indicated value are the upper and lower bounds of
the value, which are the possible minimum or maximum values the
number may be before being rounded to the current value.
The given boundaries is = 9 pounds
The lowest possible value, 9 pounds can be before rounding up is 8.5 pounds.
Therefore; 8.5 pounds is the lower bound of 9 pounds.
The highest possible value of 9 pounds is 9.44999... pounds which is approximately 9.5 pounds
Therefore; The upper bound of 9 pounds is 9.5 pounds
Which gives;
The boundaries of 9 pounds are;
8.5 – 9.5 pounds
tangent is less than 0 or tan(θ) < 0, is another way to say tan(θ) is negative, well, that only happens on the II Quadrant and IV Quadrant, where sine and cosine are different signs, so we know θ is on the II or IV Quadrant.
![\bf \pm\sqrt{3^2-2^2}=a\implies \pm\sqrt{5}=a\implies \stackrel{\textit{II Quadrant}}{-\sqrt{5}=a} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{5}}}{\stackrel{hypotenuse}{3}}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cpm%5Csqrt%7B3%5E2-2%5E2%7D%3Da%5Cimplies%20%5Cpm%5Csqrt%7B5%7D%3Da%5Cimplies%20%5Cstackrel%7B%5Ctextit%7BII%20Quadrant%7D%7D%7B-%5Csqrt%7B5%7D%3Da%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20cos%28%5Ctheta%20%29%3D%5Ccfrac%7B%5Cstackrel%7Badjacent%7D%7B-%5Csqrt%7B5%7D%7D%7D%7B%5Cstackrel%7Bhypotenuse%7D%7B3%7D%7D~%5Chfill)
supplementary angles are two angles whose measures have a sum of 180 degrees. complementary angles are two angles whose measures have a sum of 90 degrees.
might want to check your spelling
Answer:
the theoretical probability is 1/5.
the experimental probability is 3/10.
chances are the experimental probobility will approach the theoretical probobility.
Step-by-step explanation:
since blue is one of five equal sizes, the probobility that it will land on blue is 1/5.
the expiromental probobility is the number of times it landed on blue devided by the number of spins. 15/50. this can be simplified by pulling out a 5, leaving us with 3/10.
last it stands to reason that the more times the spinner is spun the closer the experimental probability will model the theoretical probability.
