Answer:
1.18770
Step-by-step explanation:
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This kind of sampling is called the Cluster sampling. The cluster sampling method is done by dividing the population by groups called clusters. There will be an equal number of samples drawn from each cluster using simple random sampling. In here, the population are the students which are divided into clusters - by year level. 15 students will be selected from each cluster.
Answer:
x= 1/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1x+3=x+10x−2
x+3=x+10x+−2
x+3=(x+10x)+(−2)(Combine Like Terms)
x+3=11x+−2
x+3=11x−2
Step 2: Subtract 11x from both sides.
x+3−11x=11x−2−11x
−10x+3=−2
Step 3: Subtract 3 from both sides.
−10x+3−3=−2−3
−10x=−5
Step 4: Divide both sides by -10.
−10x/−10=−5/−10x=1/2
Answer:
<u>Part A</u>
- Reflect over the y-axis: (x, y) → (-x, y)
A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
- Shift 4 units down: (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)
<u>Part B</u>
Two figures are <u>congruent</u> if they have the same shape and size. (They are allowed to be rotated, reflected and translated, but not resized).
Therefore, ABCD and A'B'C'D' are congruent. They are the same shape and size as they have only be reflected and translated.