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Irina-Kira [14]
3 years ago
15

You need at least $90 to buy some clothes, but your parents don't want to give you more than $150. Write and inequality represen

ting the possible amount of money you could get.
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

Answer:

90 \leqslant x \leqslant 150

Step-by-step explanation:

You need at least $90 dollars, so x will be bigger than or equal to that amount.

Your parents don't want to give you more than $150 dollars so x is smaller than or equal to that amount.

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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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Answer: 5/4

Step-by-step explanation:

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