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Vilka [71]
3 years ago
14

For each of the situations described, state whether the sampling procedure is simple random sampling, stratified random sampling

, cluster sampling, systematic sampling, or convenience sampling. (a) All freshmen at a university are enrolled in 1 of 30 sections of a seminar course. To select a sample of freshmen at this university, a researcher selects 4 sections of the seminar course at random from the 30 sections and all students in the 4 selected sections are included in the sample.
Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Answer:

The sampling method applied is Cluster sampling.

Step-by-step explanation:

A cluster sampling method is the type of sampling where first the entire population is divided into homogeneous groups. Then a random sample of these groups are selected.

After selecting a sample of groups, a random sample of fixed size is selected from each group.

In this case all freshmen are first divided into 30 sections, then 4 random sections are selected and the students in those 4 sections are sampled.

The sampling method applied is Cluster sampling.

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6 0
2 years ago
Find the coordinates of point P that lies along the directed line segment AB in a 2:3 ratio given A (-2, 1), B (3, 4).
saul85 [17]

Answer:

P(x,y) = (0,\frac{11}{5})

Step-by-step explanation:

Given

A = (-2,1)

B = (3,4)

m:n = 2:3

Required

Determine the coordinates of P

The coordinate of a point when divided into ratio is:

P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

Where

(x_1,y_1) = (-2,1)

(x_2,y_2) = (3,4)

m:n = 2:3

This gives:

P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})

P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})

P(x,y) = (\frac{0}{5},\frac{11}{5})

P(x,y) = (0,\frac{11}{5})

5 0
3 years ago
50 points find the area
mixer [17]

Answer:

  • B. 84 in²

Step-by-step explanation:

Split the area into two sections by extending 6 in segment.

We get a rectangle of 5 in x 10 in and a trapezoid.

<u>Rectangle:</u>

  • A = wl
  • A = 5*10 = 50 in²

<u>Trapezoid:</u>

  • A = 1/2(b₁ + b₂)h
  • A = 1/2((15 - 5) + 7)*(10 - 6) = 1/2*17*4 = 34 in²

<u>Total area:</u>

  • 50 + 34 = 84 in²
4 0
2 years ago
Read 2 more answers
Solve the equation for x 2/3 x -1/9x+5=20
Usimov [2.4K]

Answer:  X = 45

This may help.

6 0
3 years ago
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Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, which plan would a
aivan3 [116]

Complete question is;

Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, which plan would allow Maya to earn the most money in a month?

Plan, Monthly base salary, Commission rate

A, $500, 8%

B, $600, 7%

C, $700, 6%

D, $800, 5%

Options:

A. plan A

B. plan B

C. plan C

D. plan D

Answer:

Option D - Plan D

Step-by-step explanation:

For plan A, at 8% commission rate,her monthly pay would be, 500 + 8%*5,000 = $900

For plan B, at 7% commission rate, her monthly pay would be; 600 + 7%*5,000 = $950

For plan C, at 6% commission rate, her monthly pay would be;700 + 6%*5,000 = $1000

For plan D, at 5% monthly commission rate, her monthly pay = 800 + 5%*5,000 = $1050

So the plan that allows maya earn the most is the highest which is plan D

7 0
3 years ago
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