Answer:
Step-by-step explanation:
Given that: The perimeter of a square is: 32x - 12.8
As we all know that, the formula to find the perimeter of a square is:
Sum of the 4 side = 4* length of the side
=> the length of 1 side: The perimeter of a square / 4
In this situation, we have length of 1 side side is:
(32x - 12.8) / 4
= 32/4x - 12.8/4
= 8x - 3.2
The 1st equivalent expressions for the perimeter: 4 *(8x - 3.2)
The 2nd equivalent expressions for the perimeter: (8x - 3.2) + (8x - 3.2) + (8x - 3.2) + (8x - 3.2)
The 3rd equivalent expressions for the perimeter: 2*(8x - 3.2) + 2*(8x - 3.2)
Answer:
An eight-digit grid coordinate gives a precision to the nearest 10 meters
Step-by-step explanation:
Grid coordinates are meant to accurately direct to a specific location, using a map that comes with vertical and horizontal lines of equal spacing and numbers attached to each line to map out a location. The crossing vertical and horizontal lines have unique numbers and form small squares known as grid squares.
The more digits in the coordinate of a point the increase in precision an eight- digit gives a precision to the nearest 10 meters
Alice should pick the enlarged-photo with dimensions of 8-inch by 10-inch.
Step-by-step explanation:
Step 1:
In order for a part of the photo to not be cut off, the enlarged photo's dimensions should be of a constant ratio with the original photo's dimensions.
We divide the dimensions of the enlarged-photo with the dimensions of the original photo to check which has a constant ratio.
Step 2:
The original photo was a 4-inch by 5-inch photo.
Option 1 is 7-inch by 9-inch, so the ratios are
The ratios are different so this cannot be the enlarged photo's dimensions.
Option 2 is 8-inch by 10-inch, so the ratios are
The ratios are the same so this can be the enlarged photo's dimensions.
Option 3 is 12-inch by 16-inch, so the ratios are
The ratios are different so this cannot be the enlarged photo's dimensions.
So the enlarged-photo with dimensions of 8-inch by 10-inch should be picked.
5d + 2(2 - d) = 3(1 + d) + 1
5d + 2(2) - 2(d) = 3(1) + 3(d) + 1
5d + 4 - 2d = 3 + 3d + 1
5d - 2d + 4 = 3d + 3 + 1
3d + 4 = 3d + 4
<u>-3d -3d </u>
4 = 4
d = 0
Answer
given,
thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
X = U[0.95,1.05] 0.95≤ x ≤ 1.05
the cumulative distribution function of flange
F(x) = P{X≤ x}=
=
b) P(X>1.02)= 1 - P(X≤1.02)
= 
= 0.3
c) The thickness greater than 0.96 exceeded by 90% of the flanges.
d) mean = 
= 1
variance = 
= 0.000833
