Survey 50 randomly selected seventh-grade students at each of the district’s middle schools. Then the correct option is A.
<h3>What is a sample?</h3>
A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.
The athletic director of a large school district with about 1,500 seventh-grade students in five different middle schools wants to know which sport is most popular among seventh graders.
The survey method is the best to use will be
Random sampling is the method of selecting the subset from the set to make a statical inference.
Survey 50 randomly selected seventh-grade students at each of the district’s middle schools.
Thus, the correct option is A.
More about the sample link is given below.
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Answer:
X = 4 & Y = 3
Step-by-step explanation:
1. Multiply the first equation by -2 & Multiply the second equation by 1
-2 (2x+3y=17)
1 (3x+6y=30)
Becomes:
−4x−6y=−34
3x+6y=30
Add these equations to eliminate y:
−x=−4
2. Then solve −x= −4 for x:
−x=−4
-x/−1 = −4/−1
(Divide both sides by -1)
x=4
Now that we've found x, plug it back in to solve for y.
Write down an original equation:
2x+3y=17
Substitute (4) for (x) in 2x+3y=17:
(2)(4)+3y=17
3y+8=17(Simplify both sides of the equation)
3y+8+−8=17+−8(Add -8 to both sides)
3y=9
3y/3 = 9/3
(Divide both sides by 3)
y=3
Answer:Coplanar line
Step-by-step explanation:
The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:
16 chairs; 24 tables
Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608
15 chairs; 18 tables
Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480
12 chairs; 28 tables
Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636
18 chairs; 20 tables
Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544
Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:
15 x 65 + 18 x 90 = X
975 + 1,620 = X
2,595 = X
Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
Answer:
Part A:
c = .86*p
c =1.72 for 2 lbs
Part B:
c =.81p
Step-by-step explanation:
Part A:
Total cost = cost per pound * number of pounds
c = .86*p
Let p = 2
c = .86*2
c =1.72
Part B:
Total cost = cost per pound * number of pounds
c = .(.86-.05)*p
c =.81p
