Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi
ng expressions would help him find the area of the shaded sector?
1 answer:
The picture in the attached figure
we know that
area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree
in this problem
∅=120°
r=4 units
so
area of a sector=(120°*pi/360°)*4²-------> (120°/360°)*(16*pi) units²
The <span>expressions to find the area of the shaded sector is
</span>(120°/360°)*(16*pi) units²
(1/3)*(16*pi)----> (16/3)*pi units²
the area of the shaded sector is (16/3)*pi units²
we know that
area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree
in this problem
∅=120°
r=4 units
so
area of a sector=(120°*pi/360°)*4²-------> (120°/360°)*(16*pi) units²
The <span>expressions to find the area of the shaded sector is
</span>(120°/360°)*(16*pi) units²
(1/3)*(16*pi)----> (16/3)*pi units²
the area of the shaded sector is (16/3)*pi units²
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Answer:
a) (0.5256,0.5944)
c) Criticism is invalid
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 560
Proportion of mislabeled = 56%
a) 90% Confidence interval:
Putting the values, we get:
b) Interpretation of confidence interval:
We are 90% confident that the true proportion of all seafood in the country that is mislabeled or misidentified is between 0.5256 and 0.5944 that is 52.56% and 59.44%.
c) Validity of criticism
Conditions for validity:
Verification:
Both the conditions are satisfied. This, the criticism is invalid.