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3 years ago

Can someone help me with this question

Mathematics

1 answer:

Norma-Jean [14]3 years ago

6 0

The probability that the selected element is a member of A n B is 2/9

<h3>How to complete the number line?</h3>

The elements of the set are given as:

E = {1,2,3,4,5,6,7,8,9}

A = {1,3,4,8,9}

B = {2,4,9}

Using the above parameters, we have:

A only = {1, 3, 8}

B only = {2}

A and B = {4, 9}

None = {5,6,7}

The above dataset is the represented using the attached Venn diagram

<h3>How to determine the probability?</h3>

In (a), we have:

A and B = {4, 9}

E = {1,2,3,4,5,6,7,8,9}

The probability is then calculated as:

P(A n B) = n(A n B)/n(E)

This gives

P(A n B) = 2/9

Hence, the probability is 2/9

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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 $C(t) = 0.91C_{0}$

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

$0.91C_{0} = C_{0}e^{-0.000124t}$

$e^{-0.000124t} = 0.91$

Applying ln to both sides

$-0.000124t = -0.094$

$t = 760.57$

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

8 0

4 years ago

What is the equation of the line perpendicular to 2x + y = -5 and passes through the point (4, -3)? Write your answer in slope-i

Pie

2x+y= -5 is our equation and it passes through (4, -3)

point-slope formula= y-y1= m(x-x1)

fill in your formula, but flip the slope so its perpendicular. so slope is 1/2.

y+3=1/2(x-4) when i filled the formula in, i used 4 as x1 and -3 as y1.

y+3=1/2x-2 multiply x and -4 by 1/2

y=1/2x-5 subtract 3 from both sides.

Final answer: y=1/2x-5

Also, i'm sorry my answer took so long the bell rang and so I had to leave this alone for a minute. Feel free to ask any questions :)

6 0

3 years ago

If all possible random samples of size n are taken from a population, and the mean of each sample is determined, the mean of the

NemiM [27]

Answer:

A. exactly the same as the population mean.

Step-by-step explanation: This demonstration illustrates Rule 1 of the Central Limit Theorem: The mean of the population and the mean of the sampling distribution of means will always have the same value. Thus, the sampling distribution of the mean will have a normal shape, even though the population distribution does not.

To calculate the mean, add up all the values and divide by the number of values. There are two types of arithmetic mean: population mean and the sample mean.

6 0

3 years ago

Jess is buying a new TV on layaway for $210. If she makes a down payment of $30, and pays $15 each week, how many weeks will it

ioda

210$ - 30$ = 180$.

180$ ÷ 15$ = 12. So the answer is 12 weeks.

4 0

3 years ago

Read 2 more answers

All real number that are less than or equal to -3 and greater thank or equal to -8

Mariulka [41]

Answer:

-3, -4, -5, -6, -7, -8

Step-by-step explanation:

Im not sure if that is what you are looking for or if you want x ≤ -3 and x ≥ -8

6 0

4 years ago