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Alenkasestr [34]
3 years ago
8

And the other question is, AC and A' C' are on parallel lines: true or false

Mathematics
1 answer:
pickupchik [31]3 years ago
8 0

Answer:

Step-by-step explanation:

False

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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
How many times greater is 1 kilogram than 1 microgram?
Anastasy [175]

Answer:

The answer is B

Step-by-step explanation:

7 0
3 years ago
If cos theta = 1/4 and 0 degrees, find tan theta
Zina [86]
What? Sorry can’t understand
8 0
3 years ago
In fifteen minutes, greg's sailboat went 3/6 mile, gina's sailboat went 6/6 mile, and Stuart's sailboat went 4/6 mile. Whose sai
Radda [10]
To make this situation easier to understand, you must simplify these fractions.  3/6 is equal to 0.5
6/6 is equal to 1
4/6 is equal to 0.3333 repeating.

With this info we can tell that Gina's sailboat went to longest distant in the fifteen minutes.

Hope this helps! :)
5 0
3 years ago
Read 2 more answers
Tasha spent 55 hours in 2 weeks working on a science project. She worked 32 hours the first week. Write and solve an addition eq
blondinia [14]

Answer:

55 = 32 + x

55-32 = x

x =23

3 0
3 years ago
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