3. If the coordinates of the two points 1 point
1 answer:
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There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...
... (x, y) = (4, 7)
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You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to
is given by
Here, that means
... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4
... y = (75·8-67·3)/57 = 399/57 = 7
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A (graphing) calculator greatly facilitates either of these approaches.
Answer:
a
b
c
With the result obtained from a and b the manager can be 95 % confidence that the proportion of the population that complained about dirty or ill-equipped bathrooms are within the interval obtained at a
and that
the proportion of the population that complained about loud or distracting diners at other tables are within the interval obtained at b
Step-by-step explanation:
From the question we are told that
The sample size is
The number that complained about dirty or ill-equipped bathrooms is
The number that complained about loud or distracting diners at other tables is
Given that the the confidence level is 95% then the level of significance is mathematically represented as
Next we obtain the critical value of from the normal distribution table , the value is
Considering question a
The sample proportion is mathematically represented as
=>
=>
Generally the margin of error is mathematically represented as
The 95% confidence interval is
Considering question b
The sample proportion is mathematically represented as
=>
=>
Generally the margin of error is mathematically represented as
The 95% confidence interval is