The binomial probability formula can not be used for this experiment because it does not state the number of times he expects to draw his favorite suit.

Step-by-step explanation:

The binomial probability formula is expressed as follows:

P (k success in n trials) = $\left \{ {{n \atop k} \right.$ $p^{k}$ $q^{n-k}$

n = number of trials, k = number of successes, n-k = number of failures, p = probability of success in one trial and q = 1 - p = probability of failure in one trial.

In the given problem, all of the variables are known except for 'k', the amount of times that the student predicts he will draw his favorite suit.

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3 years ago

A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the

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Answer:

The equation is $A=6000e^{-0.23t}$ at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it decays by using t=3 hours and A=3000. This means $A_0=6000$ in this context.

$A=A_0e^{rt}\\3000=6000e^{r(3)}$

$0.5=e^{(24.5)r}$

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r$