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Mila [183]
3 years ago
12

The half-life of a radioactive isotope is the time it takes for a quantity of the Isotope to be reduced to half its initial mass

. Starting with 210 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Round your answer to the nearest gram
Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Answer:

3 grams will be left after 6 half-lives

Step-by-step explanation:

Half-live:

Time it takes for the substance to be reduced by hall.

After n half lives:

The amount remaing is:

A(n) = A(0)(0.5)^{n}

In which A(0) is the initial amount and n is the number of half-lives.

Starting with 210 grams of a radioactive isotope, how much will be left after 6 half-lives?

This is A(6) when A(0) = 210. So

A(n) = A(0)(0.5)^{n}

A(6) = 210(0.5)^{6} = 3.3

Rounding to the nearest gram

3 grams will be left after 6 half-lives

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According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.
Verdich [7]

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

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Step-by-step explanation:

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z score formula is:

z = (x-μ)/σ, where

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σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

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Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

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