Graph the system of equations on your graph paper to answer the question.
1 answer:
Answer:
The solution of the two give equations is (-1,4)
Step-by-step explanation:
i) First equation is y = -x + 3
ii) Second equation is y = x + 5
iii) If we add the two equations we get 2y = 8 ∴ y = 4
iv) Substituting the value of y obtained in iii) in equation i) we get
4 = -x + 3 ∴ -x = 4 - 3 ∴ -x = 1 ∴ x = -1
v) substituting x = -1 and y = 4 in the second equation we see that the equation is satisfied.
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Answer: (0.8115, 0.8645)
Step-by-step explanation:
Let p be the proportion of people who leave one space after a period.
Given: Sample size : n= 525
Number of people responded that they leave one space. =440
i.e. sample proportion:
z-score for 90% confidence level : 1.645
Formula to find the confidence interval :
Hence, a 90% confidence interval for the proportion of people who leave one space after a period: (0.8115, 0.8645)