Answer:
a = 3
b = -12
Step-by-step explanation:
gradient function (y') = ax² + b
curve function (y) = 1/3 ax³ + bx + c
pass (1,-11) : -11 = 1/3 a + b + c ..... (1)
pass (2,-16) : -16 = 8/3 a + 2b + c ..... (2)
slope at (2,-16) is 0 (its tangent parallel to x axis)
at (2 , -16) ax² + b = 0 4a + b = 0 b = -4a .... (3)
(2) - (1) : -5 = 7/3 a + b = 7/3 a -4a = -5/3 a ... (4)
3 x (4) : -15 = -5a a = 3
b = -4a = -4 x 3 = -12
Answer: 12 boys: 13 Girls
Step-by-step explanation: Nothing much really.
Answer:
8/10 or 16/20
Step-by-step explanation:
Answer:
10.9361
Step-by-step explanation:
The lower control limit for xbar chart is
xdoublebar-A2(Rbar)
We are given that A2=0.308.
xdoublebar=sumxbar/k
Rbar=sumR/k
xbar R
5.8 0.42
6.1 0.38
16.02 0.08
15.95 0.15
16.12 0.42
6.18 0.23
5.87 0.36
16.2 0.4
Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8
Xdoublebar=88.24/8
Xdoublebar=11.03
Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8
Rbar=2.44/8
Rbar=0.305
The lower control limit for the x-bar chart is
LCL=xdoublebar-A2(Rbar)
LCL=11.03-0.308*0.305
LCL=11.03-0.0939
LCL=10.9361
Answer:
Parabola
Step-by-step explanation:
We are given that a function
The given function is an equation of parabola along y- axis.
General equation of parabola along y- axis with vertex (h,k) is given by
Compare it with given equation then we get
h=5, k=3
Vertex of given parabola =(5,3)
Substitute x=0 then we get
y-intercept of parabola is at (0,28).
