Step-by-step explanation:
Let S be the set of all the stores in the sample, A be the set of stores dealing with Asian companies and E but the set of stores dealing with European companies
i. The set of stores that deal with European or Asian companies is A ∪ E. The inclusion-exclusion principle states that |A ∪ E| = |A| + |E| - |A ∩ E| = 266 + 308 - 103 = 471. So P(A ∪ E) = 471/500 = 0.942
ii. E' = S - E. |S-E| = 500 - 308 = 192. So P(E') = 192/500 = 0.384
iii. |A - E| = |A| - |A ∩ E| = 266 - 103 = 163. So P(A - E) = 163/500 = 0.326
iv. Stores that do not deal with only one type of company, must deal with both Asian and European companies. We are given that |A ∩ E| = 103. So P(A ∩ E) = 103/500 = 0.206
Easy, right?
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<span>35.98 million mi
which becomes 3.598 x 10 ^7</span>
The largest angle is E = 205°.
<h3>
What is a pentagon?</h3>
- A pentagon is any five-sided polygon or 5-gon in geometry.
- A basic pentagon's internal angles add up to 540°.
- A pentagon might be straightforward or self-intersecting.
- A pentagram is a self-intersecting regular pentagon (or a star pentagon).
To find the measure of the largest angle:
The sum of interior angles of a polygon is:
Where n is the number of sides.
Here n = 5, as pentagon has 5 sides.
Let, C = D = x
Then, E = 2x + 15 (15 more than twice C)
We can express the sum of the 5 angles as:
- 60 + 85 + x + x + 2x + 15 = 540
Simplify the left side by collecting like terms:
Subtract 160 from both sides:
- 4x + 160 - 160 = 540 - 160
- 4x = 380
Divide both sides by 4:
- 4x/4 = 380/4 = x = 95
- C = D = x = 95°
- E (2 × 95) + 15 = 205°
The 5 interior angles of the pentagon are:
- 60° + 85° + 95° + 95° + 205° = 540°
The largest angle is E = 205°.
Therefore, the largest angle is E = 205°.
Know more about a pentagon here:
brainly.com/question/25917702
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Answer:
5x_1
Step-by-step explanation:
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