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Nookie1986 [14]
3 years ago
9

The academic computing committee at a college is in the process of evaluating different computer systems. The committee consists

of five ​administrators, seven ​faculty, and four students. A six person subcommittee is to be formed. The chair and vice chair of the committee must be​ administrators; the remainder of the committee will consist of faculty and students. In how many ways can this subcommittee be​ formed?
Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0
There are 3,300 different ways to select the committee.

First, we need to determine the total number of ways the 6 members can be selected.

For the chair and vice chair, it would be 5 x 4 = 20, but then that has to be divided by 2. (Because the order doesn't matter)
20 / 2 = 10

For the rest, it would be 11 x 10 x 9 x 8 = 7920, but again divide it by 4! because the order doesn't matter.
7920 / 24 = 330

To find the total ways for both, multiply 10 by 330 to get 3300.
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Answer:

​σ = 2 (option a)

Step-by-step explanation:

You would want the smallest standard deviation possible.

Think of it like this: if everyone, other than you, got only 50, 51, 52, 53 then you would be the ultimate highest position in the class.

As opposed to being an average position if the scores were about                      49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60 ---your score would not put you in the highest position in the class distribution.

So, a standard deviation of ​σ = 2 would give you the highest position in the class distribution.

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2 years ago
Look at the figure: An image of a right triangle is shown with an angle labeled x. If tan x° = e divided by 8 and sin x° = e div
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Answer:

cos x = 8/f.

Step-by-step explanation:

We can use the identity :

tan x = sin x / cos x.

Substituting:

e/8 = e/f / cos x

e/8 * cos x = e/f

cos x = e/f * 8/e

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cos x = 8/f.

8 0
3 years ago
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(a) What is wrong with the following equation?
KengaRu [80]
The numerator and denominator need parentheses for clarity.
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Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not repre
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Answer:

The mean cholesterol levels

= 173873.7

Step-by-step explanation:

For The mean

The mean is going to be sum of the numbers divide by the number

Mean = (130130 +145145+ 215215 +170170+ 165165 +225225+ 240240 +185185+ 130130 +132132 )/10

Mean =1738737/10

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For Median

Wee arrange ascending order

130130, 130130, 132132, 145145, 165165, 170170, 185185, 215215, 225225, 240240

Median = (165165+170170)/2

Median = 335335/2

Median = 167667.5

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4 0
3 years ago
Prove ABC~EDC ?
erastova [34]

Answer:

AA similarity theorem

Step-by-step explanation:

we know that

<u>AA (Angle-Angle) Similarity</u> states that  In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar

In this problem we have that

∠BCA=∠ECD ----> by vertical angles

∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)

therefore

Triangles ABC and EDC are similar by AA similarity theorem

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