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scoundrel [369]
3 years ago
10

The number of bacteria in a Petri dish triple every month. If the dish started with 2500 bacteria, how many will there be in 10

months? Write an equation and show how you know?
Mathematics
1 answer:
diamong [38]3 years ago
7 0

Let m be time in months.   When m=0 we have 2500, when m=3 we have double that.  That makes our equation

A = 2500 \cdot 2 ^{m/3}

For 10 months we get

A = 2500 \cdot 2^{10/3}

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A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months. What
ivann1987 [24]

Answer:

The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.

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{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months.

This means that n = 250, \pi = \frac{14}{250} = 0.056

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.056 - 1.96\sqrt{\frac{0.056*0.944}{250}} = 0.0275

The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.

5 0
2 years ago
Solve the following system of equations below x-2y=3 2x-3y=9
Artyom0805 [142]

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Answer: 1st is 180$ sorry if I’m wrong

Step-by-step explanation:

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Answer:

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1492/1000=1.492kg

<h2>PLEASE MAKE ME BRAINLIEST!!!</h2>

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