Carbon-14 is a radioactive element with a half-life of about 5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of Carbon-14. We are interested in the time (years) it takes to decay Carbon-14. Find the amount (percent of one gram) of Carbon-14 lasting less than 5,730 years. This means, find the probability P(x < 5,730).

The percentage of Carbon-14 lasting less than 5,730 years is 50%.

Step-by-step explanation:

Let X = number of years it takes for Carbon-14 to decay.

The random variable X follows an Exponential distribution with decay parameter, λ = 0.000121.

The probability mass function of X is:

Compute the value of P (X < 5730) as follows:

The percentage of Carbon-14 lasting less than 5,730 years is,

0.5000 × 100 = 50%

Thus, the percentage of Carbon-14 lasting less than 5,730 years is 50%.

the answer is 150.6

step-by-step explanation:

you multiply .02 by 30 and get .6.

and then you multiply 5.00 by 30 and get 150.

hope this !