Jim’s backyard is 15 5/6 long and 10 2/5 wide. Jim buys sod in pieces that are 1 1/3 long and 1 1/3 wide. How many pieces of sod
2 answers:
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Answer:
Step-by-step explanation:
Step 1: What are the couch's original coordinates?
- A: (-4, 2)
- N: (-4, 3)
- G: (-1, 3)
- L: (-1, 4)
- E: (-5, 4)
- S: (-5, 2)
Step 2: Rotate the couch 90° counterclockwise.
Rule: (x, y) → (-y, x)
- A': (-4, 2) → (-2, -4)
- N': (-4, 3) → (-3, -4)
- G': (-1, 3) → (-3, -1)
- L': (-1, 4) → (-4, -1)
- E': (-5, 4) → (-4, -5)
- S': (-5, 2) → (-2, -5)
Step 3: Now reflect the "new" couch over the y-axis.
Rule: (x, y) → (-x, y)
- A'': (-2, -4) → (2, -4)
- N'': (-3, -4) → (3, -4)
- G'': (-3, -1) → (3, -1)
- L'': (-4, -1) → (4, -1)
- E'': (-4, -5) → (4, -5)
- S'': (-2, -5) → (2, -5)
Step 4: Finally translate the new new" couch right 1 unit and up 5 units.
Rule: (x + 1, y + 5)
- A''': (2, -4) → (2 + 1, -4 + 5) → (3, 1)
- N''': (3, -4) → (3 + 1, -4 + 5) → (4, 1)
- G''': (3, -1) → (3 + 1, -1 + 5) → (4, 4)
- L''': (4, -1) → (4 + 1, -1 + 5) → (5, 4)
- E''': (4, -5) → (4 + 1, -5 + 5) → (5, 0)
- S''': (2, -5) → (2 + 1, -5 + 5) → (3, 0)
Step 5: Use the distance formula to show that the length of EG is the same as the length of E'''G'''.
- EG: (-5, 4)(-1, 3)
- E'''G''': (5, 0)(4, 4)
Distance between E(-5, 4) and G(-1, 3)
- x₁ = -5
- x₂ = -1
- y₁ = 4
- y₂ = 3
Distance between E'''(5, 0) and G'''(4, 4)
- x₁ = 5
- x₂ = 4
- y₁ = 0
- y₂ = 4
This means that the length of EG is the same as the length of E'''G'''.
Hope this helps!
Answer:
The lower quartile is thousand dollars.
The median quartile is thousand dollars.
The upper quartile is thousand dollars.
Step-by-step explanation:
The lower quartile is the median value of the lower half of a data set at the 25th percentile of a distribution.
The median quartile is the median value of a data set at the 50th percentile of a distribution.
The upper quartile is the median value of the upper half of a data set at the 75th percentile of a distribution.
To locate each quartile in a data set, we follow four steps:
Step 1: Put the numbers in order: 23, 25, 33, 34, 39, 39, 44, 45, 48, 55
Step 2: The median is given by where n is all scores in the data set.
Because n = 10, the median position is
The median is the average of the fifth and sixth positioned scores
Step 3: Compute where n is all scores below
.
For scores below , use only 23, 25, 33, 34, 39.
Because n = 5, the median position is
The median is the third positioned score:
Step 4: Compute where n is all scores above
.
For scores above , use only 39, 44, 45, 48, 55
Because n = 5, the median position is
The median is the third positioned score: