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Sholpan [36]
2 years ago
12

a class has 14 students, 8 students are females, and 6 students are males. how many teams of 7 students contain at most 4 female

s
Mathematics
1 answer:
arlik [135]2 years ago
8 0

Answer:

2416

Step-by-step explanation:

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The augmented matrix of a system of equations has been transformed to an equivalent matrix in​ row-echelon form. Using​ x, y
jenyasd209 [6]

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:

  • There is a row of all zeros at the bottom of the matrix;
  • The first non-zero element of any row is 1, which called leading role;
  • The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]

or in system form:

x + 2y + 2z = 4

       y + 3z = 9

               z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

4 0
3 years ago
A menu has three meat choices,
wolverine [178]

Answer:

18 ways

Step-by-step explanation:

Number of Meat choices = 3

Number of Vegetable choices = 3

Number of Desserts = 2

Number of ways dinner can be chosen :

Number of meat choices * Number of vegetable choices * number of desserts

3 * 3 * 2

= 18

Hence, dinner can be chosen in 18 different choices.

4 0
2 years ago
Rich is driving from Philadelphia to Pittsburgh at 70 mph and Michelle is driving from Pittsburgh to Philadelphia at 65 mph. If
lara [203]
The answer is letter D 2 hours 15 minutes 
3 0
3 years ago
Find the least common multiple of 4 and 20
Svetach [21]

Answer:

Heya mate....

Step-by-step explanation:

This is ur answer.....

<h2>LCM of 4 and 20 is 20.</h2>

Hope it helps!

Brainliest pls!

Follow me :)

3 0
2 years ago
Read 2 more answers
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Step2247 [10]
1.) A librarian had to pick thirteen books into boxes.if each box can hold six books ,how many boxes did she need?

2.)Each house a carpenter builds needs six sinks.if he bought twenty-nine sinks,how many houses would that cover?

3.)A flash drive could hold six gigs of data.if you needed to store thirty-nine gigs,how many would you need?
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