Answer:
a) Margin of error = 166.311
b) sample size ≥ 62
Step-by-step explanation:
Given:
Average cost = $1599
Sample size = 50 persons
Standard deviation = $600
Confidence level is 95%
a) Margin of error = 
Now for confidence level of 95% z-value = 1.96
Thus,
Margin of error = 
or
Margin of error = 166.311
b) For Margin of error ≤ 150
≤ 150
or
≤ 150
or
≤ √n
or
√n ≥ 7.84
or
n ≥ 61.4656
Therefore,
sample size ≥ 62
Two complementary angles: α,β
Definition of complementary angles:
α+β=90
β=4α
4α+α=90
5α=90 /:5
α=18
Measure of smallest angle is 18 degrees.
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Answer:
-2
Step-by-step explanation:
In a linear regression model we have the equation 
that relates 
and 
, where 
is the estimator of the slope and 
is the estimator of the Y-intercept. The coefficients and can be estimated with the equations:
. Thus,
