Answer:
The scaling factor is 4.
Step-by-step explanation:
To find the scaling factor from A to B, we must know that these are similar triangles. Since this is not stated in the problem, we will assume these are similar triangles.
Similar triangles simply have the same scaling ratio, allowing for any size triangle to be created with the same relative dimensions. With this in mind, let's check to see the multiple of each side by simply taking the sides of the triangle B divided by the sides of triangle A.
40 / 10 = 4
44 / 11 = 4
72 / 18 = 4
Notice how each of the sides from triangle B to triangle A has the same multiple, 4. This tells us that the scale from A to B is 4.
Hence, the scaling factor is 4.
Cheers.
The answer is A
1 5/6 *12= 22
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.
To answer the problem above, we first need to know the difference in hours.
from month 1 to 2 the difference in hour is 1.5.
Month 2 to 3 = 3.5 to 5 = 1.5
Month 3 to 4 = 5 to 6.5 = 1.5
Month 4 to 5 = 6.5 to 8 = 1.5
The answer is C. Linearly, because the table shows that hours increase by an equal factor for an equal increase in months. which is 1.5 hours per month.
Answer:
20x^3/4x7
20/4x^4
5/x^4
Step-by-step explanation:
