Ok, so they are all balanced, so each side of the scale thing is equal to the other side.
A. 3 + x = 8
If we subtract 3 from 8, what’s left is 5 for x
x = 5
B. 2y = 12
Both y weights are equal, so dividing 12 by 2 says each y weight is 6.
y = 6
C. 4z = 11
All z weights are equal, so divide 11 by 4 to find the weight of z
z = 2.75
D. 3 4/5 + w = 13 4/5
Subtract 3 4/5 from 13 4/5 to find the weight of w
w = 10
Let me know if you have questions about this.
2.6925 is the mean/ avg you add all the numbers and divide by the amount of numbers you added
Answer:
C) a positive correlation
Step-by-step explanation:
<em>More people ⇒ Longer time</em> is a positive correlation between those variables. However, <em>longer time</em> is not the desired outcome.
Rather, <em>shorter time</em> is the desired outcome. The correlation between <em>more people</em> and <em>shorter time</em> is negative. In order to compute that correlation numerically, one would have to define a function that would give a numerical value for "shorter time" that would model the goodness of outcome as time gets shorter.
Let W and L be width and length of the rectangular pen respectively.
Therefore,
Circumference, C = 2W+2L= 130 yd
Area, A = LW = 1050 yd^2=> L = 1050/W
Using the circumference expression and substituting for L;
130 = 2W + 2(1050/W) = 2W+2100/W
130*W = 2W*W + 2100
130W = 2W^2 +2100
2W^2-130W+2100 = 0
Solving for W;
W= [-(-130)+/- Sqrt ((-130)^2-4(2)(2100)]/2*2 = 32.5+/- 2.5
W = 30 or 35 yd
When W = 30, L = 1050/30 = 35
When W = 35, L = 1050/35 = 30
Therefore, W = 30 yd and L = 35 yd.
