Answer:
Step-by-step explanation:
<u>Area of triangle:</u>
We have the value of b but not h.
Added auxiliary segments which help to find the value of h.
<em>See attached for details</em>
- sin 40° = h/4
- h = 4 sin 40°
- h = 2.57 km
<u>The area is:</u>
- A = 1/2*6*2.57 = 7.71 km²
The given statement is false as using stratified sampling guarantees that members of each group within a population will be sampled.
As given in the question,
Systematic sampling guarantees that members of each group within a population will be sampled is a false statement.
- Systematic sampling represents the probability of sampling method based on the group formed at regular intervals.
- Stratified sampling guarantees each subgroup within the population receives proper representation.
Therefore, the given statement is false as using stratified sampling guarantees that members of each group within a population will be sampled.
Learn more about sampling here
brainly.com/question/13287171
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U = vw + z
vw + z = u |subtract z from both sides
vw = u - z |divide both sides by w
v = (u - z)/w
To fill:
6 hours = 1 tank
1 hour = 1/6 tank
To drain:
It takes 4 times as long, therefore 4 x 6 = 24
24 hours = 1 tank
1hour = 1/24 tank
If both pipes are open
1 hour = 1/6 - 1/24 = 1/8 tank
1/8 tank = 1 hour
8/8 tank = 1 x 8 hour
1full tank = 8 hours
(x - 4y)²
(x - 4y)(x - 4y)
x(x - 4y) - 4y(x - 4y)
x(x) - x(4y) - 4y(x) + 4y(4y)
x² - 4xy - 4xy + 16y²
x² - 8xy + 16y²