1. A tree contains a known percentage po of a radioactive substance with a half - life T. When the tree dies, the substance decays and isn't replaced. If the percentage of the substance in the fossilized remains of such a tree is found to be pt, how long has the tree been dead?

Q: Suppose a scientist has a fossil sample with 180 g (grams) of carbon-14. If its original amount of…

A:

Q: Determine whether the following statement is true or false, and explain why. The half-life of a…

A:

Q: 100mg sample of tritium-3 decayed to 94.5mg after a year. (i) What is the half-life of tritium-3?…

A:

Q: If the initial mass of an Potassium was 149 grams will remain after 20 hours is 37.25 grams, then…

A:

Q: 7. Traces of burned wood along with ancient stone tools in an archeological dig in Chile were found…

A:

Q: 4. How much should be invested at 12.5% compounded continuously to end up with $1000 at the end of 5…

A:

Q: A fragment of bone is discovered to contain 20% of the usual 14C concentration. Estimate the age of…

A:

Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

Q: If the initial mass of an Potassium was 159 grams will remain after 16 hours is 39.75 grams, then…

A:

Q: The amount of iodine 131 remaining in a sample that originally contained A grams is approximately…

A: The equation for the amount of iodine 131 remaining in a sample that originally contained A grams…

Q: Suppose a sample of a certain substance decayed to 77.4% of its original amount after 300 days.…

A:

Q: c. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Sol

Q: 5. The decay constant for a particular radioactive element is 0.015 when time is measured in years.…

A: Given: The deacy constant for a particular radioactive element is 0.015 when time is measured in…

Q: 4. It is estimated that x months from now, the population of a certain town will be changing at a…

A: First we will integrate p'(x) to find the function p(x) and then we will find the population 27 from…

Q: The proportion of carbon-14 still present in a sample after t years is  e−0.00012t. Estimate the age…

A:

Q: 3. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: We row that general equation for the radio active decy is M=M0e-kt            Where "M0 " is…

Q: 30% of a radioactive substance has decayed after 10years, what is its half-life? 15.9 years 16.7…

A:

Q: al Intal 5. What is the annual percentage yield for money invested at an annual fate UI 0.0820…

A:

Q: A certain hermit wants to design a reactor using radioactive material A that will be converted into…

A:

Q: 6. A sample of tritum-3 decayed to 94.5% of its original amount after a year. (a) What is the…

A: A sample of tritum-3 decayed to 94.5% of its original amount after a year. Note:   Multiple…

Q: 1. The population of Kuhala Island doubles every 3 decades. 2. The amount of radioactive isotope of…

A: Whether each given is an exponential function, exponential equation, or exponential inequality or…

Q: A sample of tritium-3 decayed to 94.5% of its originalamount after a year.(a) What is the half-life…

A: A sample of tritium-3 decayed to 94.5% of its original amount after a year. We have to find (a) What…

Q: 1. A sample of einsteinium-252 decayed to 64.3% of its original mass after 300 days. a) What is the…

A: Let 100 be the original mass 64.3% of 100 is  64.3100 of 10064.3100·100=64.3 Now we find out decay…

Q: A sample of radium metal has a weight of 1.5 mg and a half-life of approximately 6 years

A: sample of radium metal has a weight of 1.5 mg and a half-life of approximately 6 years

Q: Suppose that a chemical reaction proceeds according to the law of growth and decay. If half the…

A:

Q: c. A certain radioactive material is known to decay at a rate pr amount present. If after one hour…

A: Lets say amount of the radioactive material present at time 't' be 'N'.

Q: A scientist wants to determine the halflife of a certain radioactive substance. She determines that…

A: The half life function is given by: N(t)=N0(0.5)t/t1/2 where N(t) is the final amount in milligrams…

Q: If the initial mass of an Potassium was 183 grams will remain after 22 hours is 45.75 grams, then…

A:

Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

A: We have to find the half life of the radium

Q: 7. A radioactive material decays at a rate proportional to its amount. If the material has a…

A:

Q: How long does it take for 90% of a given quantity of the radioactive element cobalt-60 to decay,…

A: Radioactive element decay rate.

Q: suppose a sample of a certain substance decayed to 77.2% of its original amount after 300 days. (two…

A: Let t        = time in daysN(t)  =remaining quantity of certain substance at any time 't'No…

Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days.…

A:

Q: 2-Suppose that the half-life of a certain radioactive substance is 2 days and there are 50g…

A: After each half life the amount left will be half the initial amount.

Q: If the half-life of a radioactive substance is 6,800 years, then at what rate is it decaying? (Hint:…

A:

Q: Following the birth of a child, a parent wants to make an initial investment P, that will grow to…

A: Given Initial amountP=P0 Interest rater=6%=0.06 Time t=18 years Future valueA=70,000

Q: 1. The population of a certain barangay is increasing at a rate proportional to its current…

A:

Q: A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15…

A: Given:             dAdt=k 0.043% of total amount has disintegrated :              =100-0.043%…

Q: 16) How long, to the nearest year, will it take an investment to triple if it is continuously…

A:

Q: The amount of iodine 131 remaining in a sample that originally contained A grams is approximately…

A: Given that the amount of iodine 131 remaining in a sample in t days  is Ct=A0.9175t Where A grams…

Q: 6. The half-life of radium is 1690 years. (a) Compute the decay constant k ( 5 decimal places)

A: Given: The half-life of radian that is 1690 years. N0=10 g t=50 years

Q: Suppose a sample of a certain substance decayed to 79.6% of its original amount after 300 days.…

A:

Q: A sample of a newly discovered element, West Virginium, has been discovered. A 648 mg sample has…

A:

Q: 1. A business is generating $100,000 per year for the next ten years except year 5 (used for…

A: Rate = 10% Cash flow 1 to 4 = 100,000 Cash flow in year 5 = 0 Cash flow 6 to 10 = 100,000 Present…

Q: If the initial mass of an Potassium was 121 grams will remain after 22 hours is 30.25 grams, then…

A:

Q: a) If an investment grows in value at 2.4% per year, how long will it take for its value to double?…

A:

Q: If the initial mass of an Potassium was 111 grams will remain after 10 hours is 27.75 grams, then…

A:

Q: 1. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…

A:

Q: 9. A sample of tritium-3 decayed to 94.5% of its original amount after a year (a) What is the…

A: Consider N (t) is the amount of tritium-3 relative to the original amount, then general form is,

Q: If the half-life of a radioactive substance is 7,300 years, then at what rate is it decaying? (Hint:…

A:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.