Answer:
11.2 feet
Step-by-step explanation:
The two furthest corners of the bed are at (8, 6) and (5, 10). To determine which is the furthest from the origin, use the distance formula.
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((8 − 0)² + (6 − 0)²)
d = 10
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((5 − 0)² + (10 − 0)²)
d = 5√5
d ≈ 11.2
Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.
Answer:
5x - 4y = 32
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - 4y = 36 ( subtract 5x from both sides )
- 4y = - 5x + 36 ( divide all terms by - 4 )
y = 
x - 9 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (8, 2) into the partial equation
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = x - 8 ← in slope- intercept form
Multiply through by 4
4y = 5x - 32 ( subtract 4y from both sides )
0 = 5x - 4y - 32 ( add 32 to both sides )
32 = 5x - 4y, that is
5x - 4y = 32 ← in standard form
Answer:
The type of sampling used is the Cluster sampling technique.
Step-by-step explanation:
- Random Sampling
In random sampling, each passenger would have an equal chance of being surveyed. If this particular scenario wanted to use random sampling, they would have used computer generated random passenger numbers and surveyed them, not just passengers all on the same bus picked randomly.
- Systematic sampling is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth passengers is picked to be sampled.
- Convenience Sampling
This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just surveys the first set of passengers that they find.
- Stratified Sampling
Stratified sampling divides the population into groups called strata. A sample is taken from each of these strata using either random, systematic, or convenience sampling.
- Cluster sampling
Cluster Sampling divides the population into groups which are called clusters or blocks (the different buses). The clusters are selected randomly, and every element in the selected clusters is surveyed (each passenger on the selected buses, is surveyed!). Evidently the answer to the question!
Answer:526.101
Step-by-step explanation:
To find 560.450-34.34872
=526.101
That is u subtract 560.450-34.34872
We get
=526.101
