Use a z-test where z=(xbar-mean)/sigma/sqrt(n)
The denominator is the SE and is 1.6/sqrt(30)=0.292
z=-0.5/0.292 and .9/.292 or between -1.71 and 3.08
that probability is 0.9553.
65%
There are only 7 numbers that don't fit this criteria. Therefore, there are 13 that do. 13/20 = .65*100 = 65%
My work shown is how to get x. now that you have x plug it into the equation.
To test your answer add both 51 and 39, and you should get 90 (the measurement of a right angle)
These are the important trigonometric relations to base on:
cot (x) = 1/tan(x)
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)
Following these properties, we could simplify the equation and input into the calculator to determine the exact value.
<span>tan40/cot50 = tan40/(1/tan50) = tan40tan50 = 1
</span><span>sec55/csc35 = (1/cos 55)/(1/sin 35) = sin35/cos55 = 1</span>