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Answer:
The error E = ± 4.04 %
Step-by-step explanation:
Solution:-
- The sample data is used to estimate the population proportion ( p ).
- The success p^ = success percentage = 40 %
- The confidence interval CI = 98%
- The sample size n = 800
- The margin of error E:
- The margin of error "E" for estimation of population proportion ( p ) is given by:
Where, Z-critical value is defined by the significance level:
P ( Z < Z-critical ) = α / 2
Where, α : Significance level
α = 1 - CI
P ( Z < Z-critical ) = (1 - 0.98) / 2
P ( Z < Z-critical ) = 0.01
Z-critical = 2.33
- The error E of estimation is:
- The error E = ± 4.04 %
Answer:
See the explanation
Step-by-step explanation:
The function given to us is:
f(x) = (1/3)⁻ˣ
We can convert the negative power into positive one by interchanging the numerator and denominator.
f(x) = (3/1)ˣ
f(x) = 3ˣ
Substitute value for x= -3 , -2, -1, 0, 1, 2, 3
f(-3) = 3⁻³ = 0.037
f(-2) = 3⁻² = 0.111
f(-1) = 3⁻¹ = 0.333
f(0) = 3⁰ = 1
f(1) = 3¹ = 3
f(2) = 3² = 9
f(3) = 3³ = 27
f(4) = 3⁴ = 81
and so on
The table of the found values of f(x) or y for the corresponding values of x, along with their graph is given below.
