Answer:
The correct option is A) Once an individual is selected, the individual cannot be selected again.
Step-by-step explanation:
Consider the provided statement.
Without replacement mean each population sample unit has only one opportunity in the sample to be chosen.
For example:
If a bag contains 5 red and 3 white ball and you randomly select a white ball, the probability of selecting the white ball is 3/8.
Now if the experiment is done by without replacement that means the white ball (which you have selected) is no longer the part of the sample space.
Hence, we can say that once an individual is selected, the individual cannot be selected again.
Thus, the correct option is A) Once an individual is selected, the individual cannot be selected again.
Answer:
<em>x=60°</em>
<em>x=48°</em>
<em>x=21°</em>
Step-by-step explanation:
<u>Inequalities</u>
The sum of the exterior and the interior angle of a triangle is 180°.
The measure of an exterior angle of a triangle is called x, thus the interior angle is 180-x.
This angle is said to be at least twice x, thus:
180 - x ≥ 2x
Adding x:
180 ≥ 3x
Dividing by 3:
60 ≥ x
Swapping the inequality:
x ≤ 60°
The measure of x must be less or equal to 60°.
Three possible solutions are:
x=60°
x=48°
x=21°
Answer:
x2 +8x +4y +4 = 0
4y= -x2 -8x -4y = -.25*x^2 -2x -1
a = -.25b = -2c = -1
x position of vertex:
h = -b / 2a
h = 2 / 2*-.25h = 2 / -.5h = -4
y position of vertex:
k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3
VERTEX = (-4, 3)*
x value of focus =x value of vertex = -4
y value of focus =(1 (-b^2 -4ac)) / 4a
a = -.25 b = -2 c =-1
y value = (1 (-4 -4*-.25*-1)) / 4*-.25
y value = (1 (-4 -4*-.25*-1)) / -1
y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2
focus value = (-4, 2)
Answer is the last one.
Cost per mile = 
= 0.97
Now,
c - cost for gasoline and maintenance and
m - number of miles traveled
Hence, the required expression is c = 0.97m.
