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3 years ago

What type of sampling is this:

1 answer:

7 0

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.

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-43 - 4r = 3( 1 - 9r )

Karolina [17]

-43 - 4r = 3 - 27r

Add 27r to both sides. -43 - 4r + 27r = 3 -27r + 27r or -43 + 23r = 3

Add 43 to both sides. -43 + 43 +23r = 3 + 43 or 23r = 46.

Divide both sides by 23 to get r by itself. 23r / 23 = 46 / 23 or r = 2

r = 2

6 0

3 years ago

Read 2 more answers

Katy invests a total of $13,000 in two accounts paying 2% and 7% annual interest, respectively. How much was invested in each ac

kherson [118]

Answer:

2 % amount = 12000 7% amount = 1000 dollars

Step-by-step explanation:

x = 2% amount

then 13 000 - x = 7% amount

.02x + .07 (13000-x) = 310

-.05x + 910 = 310

.05x = 600

x = 600/.05 = 12000 then the 7% amount is 1000

4 0

2 years ago

A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours

qaws [65]

Answer:

The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.

Below are all the steps explained in detail.

The graph is attached.

Explanation:

1. Name the variables:

x: number of smaller lifts
y: number of larger lifts

2. Build a table to determine the number of hours each lift requires from each department:

Number of hours

small lift large lift total per department

Welding department 1x 3y x + 3y

Packaging department 2x 1y 2x + y

3. Constraints

150 hours available in welding: x + 3y ≤ 150
120 hours available in packaging: 2x + y ≤ 120
The variables cannot be negative: x ≥ 0, and y ≥ 0

Then you must:

draw the lines and regions defined by each constraint
determine the region of solution that satisfies all the constraints
determine the vertices of the solution region
test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

4. Graph

See the graph attached.

Here is how you draw it.

x + 3y ≤ 150
draw the line x + 3y = 150 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

2x + y ≤ 120
draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

the solution region is the intersection of the regions described above.

take the points that are vertices inside the solutoin region.

5. Test the profit function for each vertex

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

(0,0)
(0,50)
(42,36)
(60,0)

The profits with the vertices are:

P(0,0) = 0
P(0,50) = 25(0) + 90(50) = 4,500
P(42,36) = 25(42) + 90(36) = 4,290
P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0

3 years ago

How to tell whether lines are parallel perpendicular or neither?

julsineya [31]

The way they are turned

6 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER

natima [27]

Answer:

A. 4x + 2y = 8

Step-by-step explanation:

$4x + 2y = 8$

$2y = - 4x + 8$

$y = - 2x + 4$

The slope is -2/1 and the y-intercept is at (0,4). If you start at (0,4), go down 2 units and 1 unit right.

4 0

3 years ago