Answer:
0.2146
Step-by-step explanation:
From the picture:
The radius of the circle = r. This means that the area of the circle = πr²
Also For the square, the length of the square = 2r, Therefore the area of the square = Length × length = 2r × 2r = 4r²
The area inside the square but outside the circle = Area of square - Area of circle = 4r² - πr² = r²(4 - π) = 0.8584r²
The ratio of the area inside the square but outside the circle to the area of the square = r²(4 - π) / 4r² = (4 - π) / 4 = 1 - π/4 = 0.2146
Answer:
He has 4 10/12 wire left
Step-by-step explanation:
-12+8x+2x=2x-8
10x-12=2x-8
8x=4
x=1/2
C
Answer:
0.98046
Step-by-step explanation:
Given:
Here we are required to find
P(5.48 <X<5.82) and between 5.48 and 5.82 we each z-score given by
<em>z = (x - μ) / σ</em>
So 5.48 we have z = -2.714 and 5.82 we have z = 2.143
Therefore we have the area of interest on the normal distribution chart given by
:
P( -2,714 < z < 2.143)
= 1 - P(Z<-2.714) + P(Z > 2.143)
= 1 - P(Z<-2.714) + (1 - P(Z < 2.143))
= 1 - 0.00336 + 1 - 0.98382
= 1 - 0.01954 = 0.98046
