Answer:
please provide the diagram
Answer:
Option A is correct.
Step-by-step explanation:
The formula used for finding the volume of right cone is:
Volume of Right cone = (1/3)π.r².h
We need to find altitude i.e h
Volume of cone=V = 8579 m^3
Radius=r = 16m
Altitude =h =?
Putting values,
8579 = (1/3) * 3.14 * (16)^2*h
8579 = 1/3 * 3.14 * 256 *h
8579 = 267.95 * h
=> h = 8579/267.95
h = 32.0 m
So, Altitude of right cone is 32.0 m
Option A is correct.
Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
Equation is y=kx. We have four chance to figure out k; hopefully they all give the same result
x=9, y=63, y=kx becomes 63=k(9) so k=63/9=7
x=4, y=28, 28=k(4), k=7
The constant of proportionality is 7; we check 2×7=14, 11×7=77
Answer: k=7, y=7x
