Mean = sum of values / number of values
74 = x/32
2368 = x
70 = y/19
1330 = y
mean for female students = (2368 - 1330)/(32-19) = 79.85
Answer:
8Mm-18M
Step-by-step explanation:
the volume is 8Mm-18M
Answer:
y = x*sqrt(Cx - 1)
Step-by-step explanation:
Given:
dy / dx = (x^2 + 5y^2) / 2xy
Find:
Solve the given ODE by using appropriate substitution.
Solution:
- Rewrite the given ODE:
dy/dx = 0.5(x/y) + 2.5(y/x)
- use substitution y = x*v(x)
dy/dx = v + x*dv/dx
- Combine the two equations:
v + x*dv/dx = 0.5*(1/v) + 2.5*v
x*dv/dx = 0.5*(1/v) + 1.5*v
x*dv/dx = (v^2 + 1) / 2v
-Separate variables:
(2v.dv / (v^2 + 1) = dx / x
- Integrate both sides:
Ln (v^2 + 1) = Ln(x) + C
v^2 + 1 = Cx
v = sqrt(Cx - 1)
- Back substitution:
(y/x) = sqrt(Cx - 1)
y = x*sqrt(Cx - 1)
Answer:
24.9 repeating in
Step-by-step explanation:
= 24.9 repeating.
Basically, just find the cube root of 15,625. Since, the object is a cube, the volume formula is V=
. Just undo the
by finding the cube root. Hope this helps!!
I will try to get back to you a little later