Rate data often follow a lognormal distribution. average power usage (db per hour) for a particular company is studied and is known to have a lognormal distribution with parameters μ = 4 and σ = 2. what is the probability that the company uses more than 270 db during any particular hour?

The probability is 0.0005%

Step-by-step explanation:

We are told that the data follows a lognormal distribution, hence we can use the formula for the probability given by:

Where, in this case, we have

We fin out that the probability that the company uses more thant 270dB during any particular hour is very low, 0.0005%, for the given the parameters μ = 4 and σ = 2 in the lognormal distribution.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).