Write an expression for the perimeter of each. Then set them equal and solve for w.
2(w+3) + 2w = 2(2w-5) + 2(w+1)
Is that enough info?
Answers:
- a) The sample is the set of students Ms. Lee selects from the box.
- b) The population is the set of all students in Ms. Lee's classroom.
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Explanation:
The first sentence tells us what the population is: it's the set of all her students. She's not concerned with any other students in any other classroom. So her "universe", so to speak, is solely focused on this classroom only. Once the population is set up, a sample of it would be a subset of the population.
If set A is a subset of set B, then everything in A is also in B, but not vice versa. For example, the set of humans is a subset of the set of mammals because all humans are mammals. However, a dog is a mammal but not a human. This shows that A is a subset of B, but not the other way around. In this example, A = humans and B = mammals.
Going back to the classroom problem, we have A = sample and B = population. If Ms. Lee has 30 students, and she randomly selects 5 of them, then those 30 students make up set B and the 5 selected make up set A. Selecting the names randomly should generate an unbiased sample. This sample should represent the population overall. If the population is small enough, the teacher could do a census and not need a sample. Though there may be scenarios that it's still effective to draw a sample.
The area of a triangle is (base*height)/2
Therefore: 12*10=120/2=60. Since there are three triangles then you multiply 60 by three. 60*3=180
Since the triangle in the middle is equilateral the height is 10. (10*10)/2=50
180+50=230
The answer is 230 inches²
9a^4b^3 + 24a^3b^2 - 15a^2b
3a^2b(3a^2b^2 + 8ab - 5) <==
The percentage of profit margin that
the plumbing supplies manager realizes that he has = 15%
Total sales for the month made by the plumbing supplies manager = $23000
Then
Amount of profit that has been made
by the plumbing sales manager = 15% * 23000 dollars
= (15/100) * 23000 dollars
= 15 * 230 dollars
= 3450 dollars
So the plumbing manager makes a profit of $3450 in the month as can be seen from the above deduction.
