Answer:
C (32)
Step-by-step explanation:
12 sneakers / 9 boots = x sneakers / 24 boots
the ratio is 4:3 so divide 24 by 3 and multiply by 4
12 / 9 = (24 / 3 x 4) / 24
12 / 9 = 32 / 24
32 students wore sneakers
Answer:
C
Step-by-step explanation:
substitute -1 into all of the formulas, if both sides are equal, then it is correct, for C:
2(x-2)+6 = 0, sub -1
2(-1-2)+6=0, simplify and work out
2(-3)+6=0
-6+6=0
0=0
Answer:
Step-by-step explanation:
The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function
g(x,y) = sin(π(x−5y)
∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))
(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]
(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]
∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j
∇g = π [cos (π(x−5y))] [î - 5j]
So, the question requires a direction vector and a point to fully evaluate this directional derivative now.
What? Can you attach a photo?
Step-by-step explanation:
We know that,

Where,
X = raw score = 84
μ = mean = 68
σ = standard deviation = 10
Putting the values,

The percent of his sales that were less than or equal to 84 inches, is

Therefore, the remaining 100-94.5=5.5% were more than 84 inches.