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DochEvi [55]
2 years ago
13

Define: Translation: Reflection: Rotation: Dilation:

Mathematics
1 answer:
Wewaii [24]2 years ago
3 0
Translation: A transformation that occurs when a figure is nubes from location to another without changing its size

Reflection: a transformation representing a FLIP of a figure ( look up "reflection algebra definition" and go to images, that may help you understand better hehe)

Rotation: turning around a center

Dilation: changing the size of an object without changing its shape
hope this helped you :)
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In an anthropology class there are 77 anthropology majors and 1414 non-anthropology majors. 55 students are randomly selected to
Nata [24]

Answer:

P = 0.9989

Step-by-step explanation:

In order to do this, I will use the following numbers to make the calculations easier. In this case, We'll say that we have 7 majors and 14 non majors anthopology to present a topic.

This means that in the class we have 21 students.

Now, we choose 5 of them, and we want to know the probability that 1 of them is non major.

First, we need to calculate the number of ways we can select the students in all cases, and then, the probability.

First, we'll use the combination formula, to calculate the number of ways we can select the 5 students out of the 21. We use combination, because it does not matter the order that the students are selected.

C = m! / n!(m - n)!

Where:

m: number of students

n: number of selected students out of m.

With this expression we will calculate first, how many ways we can choose the 5 students out of 21:

C1 = 21! / 5!(21-5)! = 20,349

Now let's calculate the number of ways you can get the all 5 students are non majors:

C2 = 14! / 5!(14 - 5)! = 2002

Now we need to know the number of ways we can get 4 non majors and 1 major:

C3 = C3' * C3''

C3' represents the number of ways we can get 4 non majors and the C3'' represents the number of ways we can get 1 major.

C3' = 14! / 4!(14 - 4)! = 1,001

C3'' = 7! / 1!(7 - 1)! = 7

C3 = 1001 * 7 = 7,007 ways to get 4 non majors and 1 major

Now the way to get 3 non majors and 2 majors, we do the same thing we do to get 4 non majors and 1 major, but changing the numbers. Then the way to get 2 non majors and 3 majors, and finally 1 non major and 4 majors:

3 non majors and 2 majors:

C4 = C4' * C4'' = [14! / 3!(14 - 3)!] * [7! / 2!(7 - 2)!] = 7,644

2 non majors and 3 majors:

C5 = C5' * C5'' = [14! / 2!(14 - 2)!] * [7! / 3!(7 - 3)!] = 3,185

1 non major and 4 majors:

C6 = C6' * C6'' = [14! / 1!(14 - 1)!] * [7! / 4!(7 - 4)!] = 490

Finally to know the probability of getting 1 out of the 5 to be non major, we have to sum all the previous results, and divide them by the ways we can choose the 5 students (C1):

P = 2,002 + 7,007 + 7,644 + 3,185 + 490 / 20,349

P = 0.9989

5 0
3 years ago
please help asap!!!! algebra graphing functions!! 50 points thank you!! (not sure why the pics are sideways lol)
miv72 [106K]

Answer:

1st graph.

Step-by-step explanation:

The function  y = -x² + 5, reflects the 1st graphic.

Reasoning:

  • If we make x equal to 0, y=5, it meas the parabole crosses y-axis at 5.
  • In every quadratic function, if the value of x is negative, the parabole goes downwards.
8 0
3 years ago
If x equals 2.5 what will be the value of y?
Tasya [4]
I don't think there is a value of y because 2.5 is a straight line.
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2 years ago
Triangle ABC is translated 2 units down and 1 unit to the left. Then is rotated 90 degrees clockwise about the origin to form Tr
Colt1911 [192]
M∠A′B′C′ = m∠ABC would be the answer for this. if you could give me a pic, I could answer. I don't see Triangle ABC

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3 years ago
The value of the 4 in 34,258 and 47,163
Lera25 [3.4K]
The value of 4 in 34,258 is 10 times the value of the 4 in 47,163.
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