The annual rainfall amounts at a given location have a mean of 152 cm and a standard deviation of 30 cm. estimate a 100-year annual rainfall amount if the annual rainfall is log-normally distributed.

The estimate of 100- year annual rainfall amount is 274.5cm

Step-by-step explanation:

From the question, x (mean) =152 ;  Sx ( standard deviation) = 30, T (time) 100 years, P (period) = 1/T = 1/100 =0.01

The frequency factor is expressed as:

where w=  for zero is less than P less than or equal to 0.5

w=

= 3.034

= 2.326

=2.18

=1.477

∴

=

=274.5cm

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.