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gizmo_the_mogwai [7]
3 years ago
10

Suppose that the good professor had instead taken a randomized and enumerated list of all students in the UC system and randomly

selected a starting point on that list (say, student number 21,058). He then selects that student for inclusion in the sample, and every 25th student thereafter (cycling back through students 1-21,057). What sampling design did he use
Mathematics
1 answer:
Vadim26 [7]3 years ago
5 0

Answer: Systematic sampling

Step-by-step explanation:

  • A <em>systematic sampling method</em> is a technique of random sampling in which participants for the study are selected in a systematic way by using a fixed periodic interval <em>k</em> from the entire population .

Here , Professor had taken a randomized and enumerated list of all students in the UC system and randomly selected a starting point on that list.

He then selects that student for inclusion in the sample, and every 25th student thereafter.

That clearly shows that he is following the systematic sampling technique, where <em>k= 25</em>.

Hence, the sampling design he used = systematic sampling

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8 0
3 years ago
1.Parallelogram ACFD is split in two parts so that ABED and FEBC are congruent isosceles trapezoids. What are the measures of al
DiKsa [7]
Refer to the diagram shown below.

Because ACFD is a parallelogram, its opposite angles are equal. Therefore
x = m∠ACF = m∠BCF = 48°  
Similarly,
y = m∠CAD = m∠CFD 

The sum of the angles inside a parallelogram is 360°. Therefore
48° + x + y + y = 360°
Because x = 48°,
48° + 48° + 2y = 360°
2y = 360° - 96° = 264°
y = 132°

Because ABED and FEBC are congruent, therefore
y = m∠DAB = m∠CFE = 132°
x = m∠ADE = m∠FCB = 48°

Because FEBC is a parallelogram, the opposite angles are equal. Therefore
m∠CBE = m∠CFE = y = 132°
m∠BCF = m∠BEF = x = 48°

Answer:
The measures of all angles of trapezoid FEBC are
m∠BCF = 48°
m∠BEF = 48°
m∠CBE = 132°
m∠CFE = 132°

7 0
4 years ago
Start at (6,4) and move 4 units to the left and 2 units down what point will you end up on
Sunny_sXe [5.5K]
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dybincka [34]

Answer:

Equation ---->    2(c - 40)

c = -40

Step-by-step explanation:

2(c - 40)

= (2c) - (80)

= 2c - 80

= \frac{2c}{2} + (\frac{-80}{2})

c = -40

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3 years ago
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What is the total area, in square inches, of the shaded sections of the trapezoid below?
Rudik [331]
You can add 5.6 and 5.9 which is 11.5 x 8 = 92 then divide that by 2 and you have 46
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3 years ago
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