X= -2 and x= 2 are the answers
Solution:
We are going to find the distance between points A -4; 2, B 3; -5 :
d = √ (xb - xa) 2 + (yb - ya) 2 =
= √ (3 - (-4)) 2 + (-5 - 2) 2 =
= √72 + (-7) 2 = √49 + 49 =
= √98
= 7√2 ≈ 9.899494936611665
Answer:
a. Identify the population of interest in this study.
- all the population of the country
b. Identify the sample for the study.
- 50 adults (the ones that were surveyed)
c. Identify the parameter of interest in the study.
- the parameter of interest is the people that believe that coffee shops are overpriced
d. Find and interpret a 95% confidence interval for the parameter of interest.
z score for a 95% confidence level = 1.96
margin of error (E) = z score x √{[0.4(1 - 0.4)] / 50} = 1.96 x 0.069282 = 0.13579
95% confidence level interval:
0.4 - 0.13579 = 0.26421
0.4 + 0.13579 = 0.53579
- 95% confidence interval (0.26421 , 0.53579)