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3 years ago

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A virus is spreading around Lakeside. At the moment, 180 people are infected. If the virus is spreading at a rate of 15% each da

y, how many people in all will have caught the virus in 6 days?

1 answer:

Mariana [72]3 years ago

4 0

Answer:

90% people will get caught by vu

iris in 6 days

Step-by-step explanation:

calculate 6times15

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In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95%

lions [1.4K]

Answer:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59$

And rounded up we have that n=350

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p$ represent the real population proportion of interest

$\aht p$ represent the estimated proportion for the sample

n is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

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)

And on this case we have that $ME =\pm 0.05$ 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:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59$

And rounded up we have that n=350

6 0

3 years ago

The slope for (0,7) and (7,7)

Softa [21]

Answer:

slope = 0

Step-by-step explanation:

point1 = (0,7)

point 2 =(7,7)

slope = (y2-y1)/(x2-x1) => (7-7)/(7-0)

slope = 0

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3 years ago

Read 2 more answers

5. Arrival problems usually follow a Poisson distribution, but in this case the time between arrivals of customers at a bank dur

Finger [1]

Answer:

0.5 or 50%

Step-by-step explanation:

For any given value of 'x' representing the time between arrivals of two customers. If 0 < x <120, then the cumulative distribution function is:

$\frac{x-0}{120-0}=\frac{x}{120}$

Therefore, the probability that the time between the arrivals of two customers will be more than 60 seconds is determined by:

$P(X>60) = 1 -\frac{60}{120}\\P(X>60) = 0.5$

The probability is 0.5 or 50%.

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3 years ago

Help if i dont fiished my mom will beat me

maw [93]

Answer:

i think thats gonna be (1,6)

Step-by-step explanation:

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2 years ago

Directions: Compare the sides and angles by filling in the blank with a < or > symbol.

eduard

Answer:

Number 21 is < number 23 is > number 22 is < and number 24 is >

Step-by-step explanation:

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2 years ago