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Can someone pls help me pls - 1

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Answer 1
Answer:

Answer:

Answer attached

Step-by-step explanation:


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A bacterial culture starts with 500 bacteria and doubles in size every half-hour.(a) How many bacteria are there after 3 hours?Answer: Since 3 hours equals 6 half-hours, the culture will have doubled 6 times.Therefore, there will be500 · 26 = 32,000bacteria.(b) How many bacteria are there after t hours?Answer: Since t hours is the same as 2t half-hours, the culture will have doubled 2ttimes. Therefore, there will be500 · 22tbacteria.(c) How many bacteria are there after 40 minutes?Answer: There are two possible answers depending on how you interpret the set-upto the problem. If each bacterium in the culture doubles once every half-hour on thehalf-hour, then each one will double after exactly 30 minutes, and then not again until60 minutes have passed. In that case, there will be500 · 2 = 10004bacteria after 40 minutes.On the other hand, if each bacterium doubles exactly once per half-hour, but at somerandom time within that half-hour, then it makes sense to think of the populationfunction P(t) = 500 · 22t as continuous. In that case, since 40 minutes is4060=23of an hour, the population will be500 · 2223 = 500 · 243 ≈ 1259after 40 minutes.
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A Popsicle store at the beach is comparing their monthly revenue with the sunglasses store next door. The shop owners find that their monthly revenue is positive correlated. This means that eating Popsicles causes people to buy sunglasses.True or False

Answers

Answer:

  False

Step-by-step explanation:

Correlation is not causation.

It may mean that eating popsicles and buying sunglasses have a common cause: sunny days.

While walking through a fictional forest, you encounter three trolls guarding a bridge. Each is either a knight, who always tells the truth, or a knave, who always lies. The trolls will not let you pass until you correctly identify each as either a knight or a knave. Each troll makes a single statement: Troll 1: If I am a knave, then there are exactly two knights here.
Troll 2: Troll 1 is lying.
Troll 3: Either we are all knaves or at least one of us is a knight.

Which troll is which?

Answers

Troll 1: Knight

Troll 2: Knave

Troll 3: Knight

The following information should be considered:

  • Troll 3's statement should be true since they can only be knights or knaves, till all of them are knaves, at least one must be a knight.
  • In the case when Troll 2 is a knight, so Troll 1 is knave, but if that were the case Troll 1's statement should be true, and since knaves do not tell the truth, this assumption is incorrect.
  • In the case when Troll 2 is a knave, Troll 1 is a knight and his statement can be disregarded.

Learn more: brainly.com/question/994316?referrer=searchResults

Answer:

Troll 1: Knight

Troll 2: Knave

Troll 3: Knight

Step-by-step explanation:

Troll 3's statement must be true because if they can only be knights or knaves, unless all of them are knaves, at least one must be a knight. Thus, Troll 3 is a knight.

If Troll 2 is a knight, then Troll 1 is knave, but if that were the case Troll 1's statement would be true, and since knaves do not tell the truth, this assumption is incorrect.

If Troll 2 is a knave, Troll 1 is a knight and his statement can be disregarded since it is conditioned to the possibility of him being a knave.

Therefore, Trolls 1 and 3 are knights and Troll 2 is a knave.

What is the product of 4.201 and 5.3? Round to the nearest hundredth

Answers

Answer:

22.2653 or 22.27

Step-by-step explanation:

hope this helps

Answer: 22.265

Step-by-step explanation:  4.201x5.3 = 22.265

How many different patrols of 6 girls can be selected from a troop of 24 Girl Scouts?

Answers

Answer:

4

Step-by-step explanation:

A person going to a party was asked to bring 4 different bags of chips. Going to the store, she finds 13 varieties. How many different selections can she make?
(this is a probability question)

Answers

"715" are the different selections she can make.

Given:

Number of different begs,

  • 4

Total number of varieties,

  • 13

So,

Total number of different selection = ¹³C₄

= (13!)/(4!* (13-4)!)

= (13!)/((4!* 9!))

= (13* 12* 11* 10)/(4* 3* 2)

= (17160)/(24)

= 715

Thus the above answer is correct.

Learn more:

brainly.com/question/21125879

Answer:

Step-by-step explanation:

13!/4(13-4)!

13!/4(9)!

Continue simplifying.

The formula for combinations n!/r!(n-r)! pay attention to class next time

What sample size is needed to give a margin of error within in estimating a population mean with 95% confidence, assuming a previous sample had .

Answers

Answer:

n = ((1.96√(\pi(1-\pi)))/(M))^2

The sample size needed is n(if a decimal number, round up to the next integer), considering the estimate of the proportion \pi(if no previous estimate use 0.5) and M is the desired margin of error.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{(\pi(1-\pi))/(n)}

In which

z is the z-score that has a p-value of 1 - (\alpha)/(2).

The margin of error is of:

M = z\sqrt{(\pi(1-\pi))/(n)}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - (0.05)/(2) = 0.975, so Z = 1.96.

Needed sample size:

The needed sample size is n. We have that:

M = z\sqrt{(\pi(1-\pi))/(n)}

M = 1.96\sqrt{(\pi(1-\pi))/(n)}

√(n)M = 1.96√(\pi(1-\pi))

√(n) = (1.96√(\pi(1-\pi)))/(M)

(√(n))^2 = ((1.96√(\pi(1-\pi)))/(M))^2

n = ((1.96√(\pi(1-\pi)))/(M))^2

The sample size needed is n(if a decimal number, round up to the next integer), considering the estimate of the proportion \pi(if no previous estimate use 0.5) and M is the desired margin of error.