Answer: 68
Step-by-step explanation:
Formula for sample size when prior estimate of population proportion (p) is available: 
, where z*= critical-value.
E= Margin of error.
Let p be the population proportion of trees are infected with the citrus red mite.
As per given , we have

E= ± 0.08
The critical z-value corresponding to 90% confidence level = z*=1.645
Substitute all the values in the above formula , we get
Required sample size :

[Rounded to next integer.]
Thus, the minimum sample size should be taken =68
Answer:
Step-by-step explanation:
A=3
B=4
C=6
D=5
E=1
F=7
G=2
Answer:
99 in³
Step-by-step explanation:
Let the radius and height of each be r and h in. respectively.
Write an equation for the volume of cone.
Volume of cone= ⅓πr²h
⅓πr²h= 33
Multiply both sides by 3:
πr²h= 99
Volume of cylinder= πr²h
We have found the value of πr²h previously, which is 99.
Thus, the volume of the cylinder is 99 in³.
Answer:
Step-by-step explanation:
In terms of distance, a decreasing slope means a slowing speed, which leads to a shorter distance.
Answer:
y ≤ 2x -2 Option C.
Step-by-step explanation:
Equation of the dotted line which passes through (3,0) and (0,8) will be
y = mx+C
m =
= -1
and C = 3
So equation will be y = x + 3
But shaded blue part is above the dotted line so inequality will be y> -x +3
Equation of the second solid line which passes through ( 0,-2) and (1,0) will be
y = mx + C
m =
=
= 2
and C = -2
So equation of the line will be y = 2x - 2
But shaded yellow part is below the solid line.
So inequality will be
y ≤ 2x -2
Option C. is the answer.