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zimovet [89]
2 years ago
5

Math your class is holding elections to choose a leadership committee of 4 students. if there are 30 students in the class, how

many different leadership committees would it be possible to elect?
Mathematics
1 answer:
inessss [21]2 years ago
7 0
That would be 30C4  - combinations of 4 from 30.



= 30*29*28*27       
   ----------------  =  27,405  Answer 
   4 * 3 * 2 * 1
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If a linear system has four equations and seven variables, then it must have infinitely many solutions. True or False
Savatey [412]

Answer:

The statement is False.

Step-by-step explanation:

Consider the provided information.

If a linear system has four equations and seven variables, then it must have infinitely many solutions.

We need to determine the above statement is true or false.

The above statement is false, it could be inconsistent, and therefore have no solutions,

For example:

x_1+x_2+x_3+x_4 +x_5+x_6+x_7=0\\x_1+x_2+x_3 =1\\x_4 +x_5 =1\\x_6+ x_7=1

Hence, there is no solution.

7 0
2 years ago
According to the Rational Root Theorem, the following are potential fox) 2x2 +2x 24.roots of -4, -3, 2, 3, 4Which are actual roo
aksik [14]

Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

a) Either solve the given quadratic equation to find the actual roots

b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.

Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

2x^{2} +2x-24=0\\ \\ 2(x^{2} +x-12)=0\\ \\ x^{2} +x-12=0\\ \\ x^{2} +4x-3x-12=0\\ \\ x(x+4)-3(x+4)=0\\ \\ (x-3)(x+4)=0\\ \\ x-3=0, x=3\\ \\ or\\\\x+4=0, x=-4

This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.

7 0
2 years ago
Read 2 more answers
Mrs. Ronilo had her students make a stem-and-leaf plot of the heights of all of the students in the class. The mean was 55. Dave
shutvik [7]
Given that the mean is 55 inches  and Dave is 57 inches, he would have increased the mean of the height in the stem-and-leaf plot that the students were making. This is however is also dependent upon the central tendency that was used, in this case the central tendency is mean or average. 
8 0
2 years ago
Read 2 more answers
cents.ivan, bella, and ian agreed to share a pizza which was cut into 101010 slices. ivan ate 40\@@, percent of the pizza.how ma
ANEK [815]
4 is the answer! Because if you have 10 slices of pizza and you ate 40% of it you need to divide 40 by 10 and you get 4 as your answer!!!


6 0
2 years ago
Carla packed this box with 1-centimeter cubes. what is the volume of the box?
Yuki888 [10]

Answer: 60 cm three squared

You can observe in the picture attached that the box is a rectangular prism.

The volume of a rectangular prism can be found with this formula:

Where "l" is the length, "w" is the width and "h" is the height.

You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:

Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:

Finally, evaluating, you get that the volume of the box is:

223 units

Step-by-step explanation:

brainly.com/question/14536184

7 0
2 years ago
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