Molecules of a toxic chemical eventually decompose into inert substances. suppose the decomposition time is exponentially distributed with a mean of 1/lambda. the half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic. find the half-life for chemicals whose molecules have an average decomposition time of (a) 6 yearshalflife= ? years(b) 40 yearshalflife= years(c) 344 yearshalflife= ? years(d) 5584 yearshalflife= ? years

a) 4.16 years

b) 27.73 years

c) 238.44 years

d) 3,870.53 years

Step-by-step explanation:

Let X be the random variable that measures the decomposition time.

a)

In this case, since the decomposition time is exponentially distributed with a mean of 1/6, we have

and we must find a t such that P(x>t)=0.5.

b)

c)

d)

46 dollars is the answer.

step-by-step explanation:

6*6 = 36,         36+10=46

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "