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andrey2020 [161]
3 years ago
6

Part of a tiling design is shown. The center is a regular hexagon. A square is on each side of the hexagon, and an equilateral t

riangle joins the squares. Complete the pattern around the hexagon and calculate the total area of the pattern.
A.403.1 in.
B.503.1 in.
C.1,119.6 in.
D.1,379.4 in.
Mathematics
1 answer:
LiRa [457]3 years ago
3 0
Area of the squares (6):
A 1 = 6 · 10² = 600 in²
Area of the equilateral triangles (6):
A 2 = 6 · 10²√3 / 4 = = 6 · 25 · 1.73 = 259.8 in²
Area of the hexagon:
A 3 = 6 · 10²√3/4 = 259.8 in²
Total area:
600 + 259.8 + 259.8 = 1,119.6 in²
Answer: C ) 
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Based on a​ survey, assume that 32​% of consumers are comfortable having drones deliver their purchases. Suppose that we want to
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Answer:

n = 6

x = 3

p = 0.32

q = 0.68

Step-by-step explanation:

Given:

32% are comfortable having drones deliver their purchases.

Suppose we are to find the probability that when 6 consumers are randomly​ selected, exactly 3 of them are comfortable with delivery by drones.

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ii) x represents the sample mean or number of successes. Since 3 consumers out of the selected 6 are comfortable with delivery by drones, the sample mean here is 3.

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iii) p represents population proportion or probability of success. Here population proportion(success probability) is 32% ≈ 0.32.

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iv) q represents probability of failure. To find probability of failure, use the formula:

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If the fastest you can safely drive is 65 mi/h, what is the longest time you can stop for dinner if you must travel 569 mi in 9.
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3 years ago, Nancy’s age was more than Khaled’s age by 2, 4 years from now, twice Nancy’s age will be more than Khaled’s age by
sveticcg [70]

Answer:

Nancy's age is 11years and Khaled's age is 10years

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Let Nancy's present age be x

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If 3 years ago, Nancy’s age was more than Khaled’s age by 2, then;

x-3 = y-3 + 2

x - 3 = y - 1

x- y = -1+3

x -  y = 2 ...1

4 years from now,

Nancy = x+4

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If by 4years from now, twice Nancy’s age will be more than Khaled’s age by 16, then;

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Hence Nancy's age is 11years and Khaled's age is 10years

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