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tigry1 [53]
3 years ago
12

Find the indicated limit, if it exists. limit of f of x as x approaches negative 1 where f of x equals x plus 1 when x is less t

han negative 1 and f of x equals 1 minus x when x is greater than or equal to negative 1

Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer: The limit does not exist.

Please, see the attached file.

Thanks.

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A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa
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Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is  α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion  

p(private) be the proportion of alumni of the private university who attended at least one class reunion  

Hypotheses are:

H_{0}: p(public) = p(private)

H_{a}: p(public) ≠ p(private)

The formula for the test statistic is given as:

z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}} where

  • p1 is the sample proportion of  public university students who attended at least one class reunion  (\frac{808}{1311}=0.616)
  • p2 is the sample proportion of private university students who attended at least one class reunion  (\frac{647}{1038}=0.623)
  • p is the pool proportion of p1 and p2 (\frac{808+647}{1311+1038}=0.619)
  • n1 is the sample size of the alumni from public university (1311)
  • n2 is the sample size of the students from private university (1038)

Then z=\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}} =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.  

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3 years ago
8 is what percent of 64?
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Answer:

12.5%

Step-by-step explanation:

8/64

(8*100)/64 = 12.5

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