Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004
<u>Using the relation</u> ::
The mean, μ = np = (162 × 19) = 3078
The standard deviation, σ = 28 × √19 = 122.049
<u>The Zscore</u> :
Zscore = (3401 - 3078) ÷ (122.049)
Zscore = 2.65
Hence,
P(Z > 2.65) = 1 - P(Z < 2.65)
Using a normal distribution table :
P(Z > 2.65) = 1 - 0.9959
P(Z > 2.65) = 0.004
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The second garden plot will require 8√5 feet more fence than the first garden plot.
Further explanation:
In order to find the fence, we have to find the perimeter of both squares
So,
Area of Square 1: A1=180 square feet
Area of Square 2: A2=320 Square feet
Let x be the side of square 1:
Then,

For second square:
Let y be the side of second square

Perimeter of First Square:

Perimeter of Second Square:

The smaller perimeter will be subtracted from larger perimeter to find that how much more fence will be needed.

The second garden plot will require 8√5 feet more fence than the first garden plot.
Keywords: Radicals, Operations on Radicals
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Answer:
Ivan’s range: 2,640 = 2.64 x 10^3 ft
Winnies
range: (2.5)5280 = 13200 = 1.32 x 10^4 ft
Winnies WiFi has the greater range
2x^2 - 2x - 40 = 2x^2 -10x + 8x - 40 = 2x(x - 5) + 8(x - 5)
= (x-5)(2x+8) = 2(x-5)(x+4)