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3 years ago

A data set with whole numbers has a low value of 20 and a high value of 96.

Mathematics

1 answer:

Naya [18.7K]3 years ago

8 0

Answer and Step-by-step explanation:

The computation of the class width for a frequency is shown below:

Class width is

$= \frac{Range}{Number\ of\ class} \\\\ = \frac{96 - 20}{7}$

= 10.86

= 11

Now the class limits for a frequency table

Particulars Lower class limit to upper class limit

First class 20 - 30

Second class 31 - 41

Third class 42 - 52

Fourth class 53 - 63

Fifth class 64 74

Six class 75 - 85

Seventh class 86 - 96

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Read 2 more answers

The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the o

Korvikt [17]

Answer:

a) $k = 0.000124$

b) According to these data, the Shroud of Turin has around 760 years.

Step-by-step explanation:

The amount of carbon-14 is modeled by the following equation:

$C(t) = C_{0}e^{-kt}$

In which $C_{0}$ is the initial amount and k is the rate of decrease.

(a) Find the value of the constant k in the differential equation.

Half-life of 5595 years.

So $C(5595) = 0.5C_{0}$

$C(t) = C_{0}e^{-kt}$

$0.5C_{0} = C_{0}e^{-5595k}$

$e^{-5595k} = 0.5$

Applying ln to both sides

$-5595k = -0.69$

$k = 0.000124$

b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material. How old is the Shroud of Turin, according to these data?

This is t when $C(t) = 0.91C_{0}$