Answer:
Science students
Step-by-step explanation:
MATHEMATICS :
Plot interval = 30 to 50
MEAN :
(34*2) + (40*2) + (32*1) + (33*1) + (35*1) + (37*1) + (39*1) = 324
Sample size, n = (2 + 2 + 1 + 1 + 1 + 1 + 1) = 9
Mean = 324 / 9 = 36
BOTTOM :
SCIENCE :
MEAN : (43*2)+(46*2)+(49*2)+(41*1)+(42*1)+(47*1) =
406
SAMPLE SIZE = (2 + 2 + 2 + 1 +1 +1) = 9
406 / 9 = 45.111
-30/49 would be my answer to this. hope this helps!
Answer:
x=1 and y=−2
Step-by-step explanation:
Multiply the first equation by 9,and multiply the second equation by -8.
9(−7x−8y=9)
−8(4x−9y=22)
Becomes:
−63x−72y=81
−32x+72y=−176
Add these equations to eliminate y:
−95x=−95
Then solve−95x=−95for x:
−95x
−95
=
−95
−95
(Divide both sides by -95)
x=1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
−7x−8y=9
Substitute1forxin−7x−8y=9:
(−7)(1)−8y=9
−8y−7=9(Simplify both sides of the equation)
−8y−7+7=9+7(Add 7 to both sides)
−8y=16
−8y
−8
=
16
−8
(Divide both sides by -8)
y=−2
Answer:
x>3
Step-by-step explanation:
subtract x from both sides
simplify 4x-x to 3x
9>3x
divide both sides by 3
9/3 <x
simplify 9/3
3<x
x>3
Answer:
a) 18 in x 18 in x 18 in
b) 
Step-by-step explanation:
a) Let's call 's' the side of the square base and 'h' the height of the solid.
The surface area is given by the equation:
The volume of the solid is given by the equation:
From the volume equation, we have that:
Then, using this value of h in the surface area equation, we have:
To find the side length that gives the minimum surface area, we can find where the derivative of S in relation to s is zero:
The height of the solid is:
b) The minimum surface area is:
