Let y represent <span>the number of square yards
Let x the number of square feet.
Then y varies directly with x.
y = kx
where k is the constant of variation.
y = 3 yards^2
x = 27 feet^2
3 = k(27)
k = 3/27
k = 1 yard^2 /9 feet^2
So the constant of variation is </span>1 yard^2 <span>/9 feet^2.</span>
Answer:
The answer is x = -17/6.
Step-by-step explanation:
Given:
5 1/3 + x = 2 1/2 . Using least common denominator.
Now, to solve the equation:


Subtracting both sides from 16/3 we get:

Now, the least common denominator of 2 and 3 is 6.
So, we using this we calculate:


Therefore, the answer is x = -17/6.
Answer:
0.9544 or 95.44%
Step-by-step explanation:
The empirical rule indicates that the percentage of data falls in one standard deviation, 2 standard deviation and 3 standard deviation are 68.26%,95.44% and 99.73%
We are given that x1=52, x2=76 ,mean=64 and standard deviation=6
mean+sd= 64+6=70
mean-sd=64-6=58
mean+2*sd=64+12=76
mean+2*sd=52
x1 and x2 are within 2 standard deviation and the percentage of data lies between two standard deviation is 95.44%.