Kelly has two dogs, Pixie and Fifi.

The half-life of iron-52 is approximately 8.3 hours.How much of a 13 gram sample of iron-52 would remain after 8 hours? Round to

Alexandra [31]

6.665 grams of the 13 grams remain after 8 hours.

<h3>How much of a 13 gram sample of iron-52 would remain after 8 hours?</h3>

The decay equation for the 13 grams of iron-52 is:

$N(t) = 13g*e^{(-ln(2)/8.3h)*t}}$

Where N is the amount of iron-52, and t is the time in years.

Where we used the fact that the half-life is exactly 8.3 hours.

Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:

$N(8h) = 13g*e^{(-ln(2)/8.3h)*8h}} = 6.665g$

So 6.665 grams of the 13 grams remain after 8 hours.

If you want to learn more about half-life:

brainly.com/question/11152793

#SPJ1

5 0

1 year ago

You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Co

Alex Ar [27]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

For this case we have the following info given:

$ME=0.03$ the margin of error desired

$Conf= 0.95$ the level of confidence given

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

the critical value for 95% of confidence is $z=1.96$

We can use as estimator for the population of interest $\hat p=0.5$ . And on this case we have that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

3 0

3 years ago

Two coins are flipped. You win $3 if either two heads or two tails turn up; you lose $4 if a head and a rail turn up. What is th

Lyrx [107]

Answer:

Step-by-step explanation:

It's too bad about this problem. It's a fair game if you get paid the same amount that you have to pay if you lose.

You win 2 ways

H - H
T - T
Probability 1/2

You lose 2 ways.

H - T
T - H
Probability 1/2

Expectation

E = 1/2 * 3 - 1/2 * 4

E = 1.5 - 2

E = -0.5

Which means that you should expect to lose 0.5 dollars every time you play this dreadful game.

4 0

3 years ago

The half-life of a radioactive kind of tellurium is 40 minutes. How much will be left after 360 minutes if we

satela [25.4K]

Answer:

se4r4335

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

An individual who has automobile insurance from a certain company is randomly selected. Let X be the number of moving violations

grin007 [14]

Answer:

(X) 0 1 2 3 4

P(X) 0.17 0.23 0.27 0.24 0.09

F(x) 0.17 0.04 0.65 0.91 1

Step-by-step explanation:

Given that;

(X) 0 1 2 3 4

P(X) 0.17 0.23 0.27 0.24 0.09

cumulative distribution function can be calculated by; be cumulatively up the value of p(x) with the values before it;

so

x F(x)

0 P(X = 0) = 0.17

1 P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4

2 P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65

3 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91

4 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1

Therefore, cumulative distribution function f(x) is;

(X) 0 1 2 3 4

P(X) 0.17 0.23 0.27 0.24 0.09

F(x) 0.17 0.04 0.65 0.91 1

8 0

2 years ago