In this item, it is assumed that since the pattern is cut out of the paper which is usually a rectangle then, the shape of the pattern is also rectangle. The perimeter of the rectangle is,
P = 2L + 2W
The area is equal to,
Area = L x W
If we assume that length and width are equal, in order to maximize the space.
1600 cm² = L x L
The value of L from the equation is 40 cm.
Answer:
a) 48.408
b) 1.235
Step-by-step explanation:
a)
The average hardness value xbar can be computed as
xbar=sum of values/number of values
xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12
xbar=580.9/12
xbar=48.408 (rounded to 3 decimal places).
The average hardness value is 48.408.
b)
The standard deviation hardness value s can be computed as
x x-xbar (x-xbar)
²
46.5 -1.90833 3.64174
46.9 -1.50833 2.27507
49.4 0.99167 0.98340
50.3 1.89167 3.57840
49.8 1.39167 1.93674
48.8 0.39167 0.15340
47.0 -1.40833 1.98340
47.7 -0.70833 0.50174
48.3 -0.10833 0.01174
49.4 0.99167 0.98340
47.8 -0.60833 0.37007
49.0 0.59167 0.35007
Total 16.7692
s=1.235 (rounded to 3 decimal places)
The standard deviation hardness value is 1.235.
Answer:18 19 20
Step-by-step explanation:"Consecutive" means that the integers will follow each other in value, for example: 1, 2, 3 or 4, 5, 6. Also, no decimals are needed here because "integers" are whole, counting numbers. Here is the set up: Let x= the first integer Then X+1= 2nd consecutive integer and x+2= 3rd .
Suppose that x=1 x+1= 1+1=2 and x+2=1+2=3 However, you need specific consecutive numbers whose sum is 57. Remember that sum means to add:
x+ (x+1) + (x+2) = 57 Addition of all 3 consecutive numbers Now solve for x
and substitute into each part to come up with the three integers:
3x + 3= 57 3x=54 x=54/3 = 18 x=18, x+1= 18+1=19 x+2=18+2=20
Check your answer: 18+19+20=57 57=57 Check
Assuming she set up the problem vertically, she began subtracting from the left, instead if the right.
