MATHEMATICS COLLEGE

Find the mean of the set of data: 10,12,29,2,19,42,23,23

Answers

Answer 1
Answer:

Answer:

20

Step-by-step explanation:

mean is average

add all numbers get 160

divide by number of numbers (8) and get 20
Answer 2
Answer:

Answer:

when you find the mean of a data set, you add all the numbers up then you divide the sum by the numbers in total. the sum is 160, you then divide by total of number which is 8 . your answer is 20. not sure if that made sense lol

Related Questions

Answer the questions in the picture please
5) if john climbs 30 steps up, then 15 steps down. how many steps did he take?​
Math help!!! Who know the answers???
The board of a large company is made up of 7 women and 9 men. 6 of them will go as a delegation to a national conference. a) How many delegations are possible? b) How many of these delegations have all men? c) How many of these delegations have at least one woman?
A 15° sector in a circle has an area of 11.9 m2. What is the area of the circle?

Carol drew an isosceles triangle that has an angle that measures 62°. Which could be the measures of the other two angles in Carol’s triangle?A. 62° and 62°
B. 56° and 56°
C. 28° and 90°
D. 56° and 62°

Answers

Answer: the answer is B

Step-by-step explanation:

Answer:

56 and 62

Step-by-step explanation:

There were 84 runners to start a race. In the first half of the race, 1/4 of them dropped out. In the second half of the race, 1/3 of the remaining runners dropped out. How many runners finished the race?

Answers

Answer:

1/3

.................

The augmented matrix of a system of equations has been transformed to an equivalent matrix in​ row-echelon form. Using​ x, y, and z as​ variables, write the system of equations corresponding to the following matrix. If the system is​ consistent, solve it.left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column 2 3rd Column 2 2nd Row 1st Column 0 2nd Column 1 3rd Column negative 3 3rd Row 1st Column 0 2nd Column 0 3rd Column 1 EndMatrix Start 3 By 1 Table 1st Row 1st Column 4 2nd Row 1st Column 9 3rd Row 1st Column negative 2 EndTable right bracket

1 2 2
0 1 −3
0 0 1
4
9
−2
Which of the following system of equations corresponds to the given​ matrix?

A.

x plus 2 y plus 2 zx+2y+2z

equals=44

y minus 3 zy−3z

equals=99

z

equals=minus−22

B.

2 x plus 2 y2x+2y

equals=44

negative 3 y−3y

equals=99

z

equals=minus−22

C.

2 x plus 2 y plus 4 z2x+2y+4z

equals=1

negative 3 y plus 9 z−3y+9z

equals=1

minus−z

equals=1

D.

x

equals=44

2 x plus y2x+y

equals=99

2 x minus 3 y plus z2x−3y+z

equals=minus−22

Select the correct choice below and fill in any answer boxes in your choice.

A.

The solution set is

StartSet nothing EndSet{}.

​(Type an ordered​ triple.)

B.

The solution is the empty set.

Answers

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 RowEchelonForm, 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\n0&1&3\n0&0&1\end{array}\right]\left[\begin{array}{ccc}4\n9\n-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).

Find the number of positive integers not exceeding 108 that are not divisible by 5 or by 7.

Answers

Answer:

75

Step-by-step explanation:

The set of positive integer not exceeding 108 divisible by 5 is

D_5=\{5 \quad 10 \quad 15 \quad 20 \quad 25 \quad 30\quad 35 \quad 40 \quad 45 \quad 50 \quad 55 \quad 60 \quad 65\n \quad 70 \quad 75 \quad 80 \quad 85 \quad 90 \quad 95 \quad100 \quad 105\}

and the set of positive integer not exceeding 108 divisible by 7 is

D_7=\{7 \quad 14 \quad 21 \quad 28 \quad 35 \quad 42 \quad 49 \quad 56 \quad 63 \quad 70 \quad 77 \quad 84 \quad 91 \quad 98 \quad 105\}

Moreover, there are exactly three positive numbers not exceedng 108 that are divisible by both 5 and 7, i.e,

D_5 \cap D_7=\{37 \quad 70 \quad 105\}.

Also note that the size of D_5 is \#D_5=21 , the size of D_7 is \#D_5=15 and \# D_7 \cap D_5 = 3.

On the other hand, If a positive integer not exceding 108 is not divisible by 5 or 7, then it doesn't belong to any of this sets. Therefore, the number of positive interges not exceding 108 that are not divisible by 5 or 7 is equal to

108 -(\#D_7 + \# D_5 - \# D_7 \cap D_5)=108 -(21+15-3)=75

Given the expression 2x(y + z)2, which is TRUE? A) The factor 2x depends on (y + z)2. B) The factor (y + z)2 depends on 2x. C) The factors 2x and (y + z)2 are dependent of each other. D) The factors 2x and (y + z)2 are independent of each other.

Answers

If we assume that x, y, and z are independent variables, then the appropriate choice is ...
  D) The factors 2x and (y + z)² are independent of each other.

Find sin (A-B) if sin A = 4/5 with A between 90 and 180 and if cos B = 3/5 with B between 0 and 90

Answers

Answer:

sin(A-B) = 24/25

Step-by-step explanation:

The trig identity for the differnce of angles tells you ...

sin(A -B) = sin(A)cos(B) -sin(B)cos(A)

We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.

And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.

Then ...

sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25

The desired sine is 24/25.
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