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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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A boy borrowed his boat 531 feet out into the ocean. When he looked back he saw the house on a cliff above the beach where he se
Ludmilka [50]

Answer:

259 ft.

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.

A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.

Let h represent the height of the house above water, hence using trigonometric ratios:

tan(26) = h / 531

h = 531 * tan(26)

h = 259 ft.

8 0
3 years ago
What is (12!) - (10!)?
qwelly [4]

⭐︎✳︎⭐︎✳︎⭐︎✳︎⭐︎✳︎⭐︎✿⭐︎✳︎⭐︎✳︎⭐︎✳︎⭐︎✳︎

Hi my lil bunny!

❀ _____.______❀_______._____ ❀

(12!) - (10!)

= 479001600 - 10!

= 479001600 - 3628800

= 475372800

So the answer is = 475372800

❀ _____.______❀_______._____ ❀

Xoxo, , May

⭐︎✳︎⭐︎✳︎⭐︎✳︎⭐︎✳︎⭐︎✿⭐︎✳︎⭐︎✳︎⭐︎✳︎⭐︎✳︎

Hope this helped you.

Could you maybe give brainliest..?

7 0
3 years ago
Pls help asap i'll give first brainliest
otez555 [7]

Answer:

Step-by-step explanation:

First box is 7x. second is 7+x,third is x-7 last is 2x +7

6 0
3 years ago
What is the difference between the mean and the median of the data set? {22, 8, 10 ,18 ,12, 20} 0 2 4 6
NikAS [45]

Answer:

Option A - 0

Step-by-step explanation:

Given : Data set {22, 8, 10 ,18 ,12, 20}

To find : What is the difference between the mean and the median of the data set?

Solution :

Data set in increasing order {8, 10 ,12,18, 20,22}

Mean is defined as the division of sum of set values by total number of values.

M=\frac{\sum x}{n}

Substitute the values we get,

M=\frac{8+10+12+18+20+22}{6}

M=\frac{90}{6}

M=15

So, The mean of the set is 15.

Median of even numbers is the average of two middle terms.

m=\frac{3rd+4th}{2}

m=\frac{12+18}{2}

m=\frac{30}{2}

m=15

So, The median of the set is 15.

Now, The difference of the mean and the median of the set is

d=M-m

d=15-15

d=0

Therefore,Option A is correct.

The difference of the mean and the median of the set is 0.

5 0
3 years ago
Read 2 more answers
Which linear functions represent a slope of 4? Check all that apply.
Angelina_Jolie [31]

Answer:

the first and last both represent a slope of 4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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