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3 years ago

Calculate the mean given the frequency table

Mathematics

1 answer:

ratelena [41]3 years ago

5 0

Answer:

15.6

Step-by-step explanation:

First, multiply the midpoint of each class by its frequency, as follows:

Class midpoint frequency midpoint*frequency

0-9 4.5 24 4.5*24 = 108

10-19 14.5 20 14.5*20 = 290

20-29 24.5 32 24.5*32 = 784

Total 76 1182

The mean is computed as the division between the addition of the "midpoint*frequency" column by the addition of "frequency" column.

mean = 1182/76 ≈ 15.6

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Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

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Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

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Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

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In which A(0) is the initial amount and r is the decay rate, as a decimal.

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Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

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Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

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2 years ago