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UkoKoshka [18]
3 years ago
12

Find the mean of the following data: 0, 5, 30, 25, 16, 18, 19, 26, 0, 20, 28

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0

Answer:

17

Step-by-step explanation:

In order to find a mean in a data set you need to be able to add all numbers provided than divided them by the numbers given. which in this case

- 0+5+30+25+16+18+19+26+0+20+28= 187

- There are 11 number given so we take:

187/11

187/11= 17

Have a nice day!

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20 POINTS AND BRAINLIEST !! PLEASE ANSWER THIS QUESTION !!
BlackZzzverrR [31]

Answer:

-14

Step-by-step explanation:

f(x) = 3x-5

g(x) = -x^2 +1

g(2) = - (2^2) +1

g(2) =-4+1 = -3

Then stick the -3 in f(x)

f(-3) = 3(-3)-5 = -9 -5 = -14

f(g(2) = -14

7 0
2 years ago
Read 2 more answers
Help me with this plz, I ain’t good at math at all.
Ad libitum [116K]
I’ll be happy to help!
Since a right angle is equal to 90 degrees, we can add the 67+90 which equals 157, so since a triangle is equal to 180, we can subtract 180-157.
180-157= 23
The answer for x is 23!
5 0
3 years ago
Solve for x. enter your answer in interval notation using grouping symbols. x^2+15x<-36
Oliga [24]
X²+15x+36<0

at first solve quadratic equation

D=b²-4ac= 225-4*1*36= 81

x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3

we can write x²+15x+36<0 as (x+12)(x+3)<0

(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
 1 case)      x+12<0, and x+3>0,                                            
                       x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set

or second case)  x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3)  they are crossing , so (-12, -3)  is a solution of this inequality


3 0
3 years ago
Please help me
pychu [463]

Answer:

Choices C and D

Step-by-step explanation:

3 0
3 years ago
Use vectors to find the interior angles of the triangle with the given vertices. (Enter your answers as a comma-separated list.
aleksandr82 [10.1K]

Answer:

  23.20°, 71.57°, 85.24°

Step-by-step explanation:

The angle between two vectors can be found by making use of the definition of the dot product. The computed angle is the angle between the  vectors when they are placed tail-to-tail.

__

<h3>setup</h3>

<u>vector definition</u>

The second attachment shows the given points plotted as A, B, C in the order given. In the diagram, the vectors <em>a</em>, <em>b</em>, <em>c</em> are defined as BA, CB, AC, respectively. That is, the vector <em>a</em> is ...

  <em>a</em> = A -B = (-6, -9) -(2, 7) = (-6-2, -9-7) = (-8, -16)

The vectors are defined in counterclockwise order around the triangle, though that makes no difference to the calculation.

<u>dot product definition</u>

The definition of the dot product of vectors A and B is ...

  A·B = |A|×|B|×cos(θ) . . . . . where θ is the angle between the vectors

Solving for the angle, we find it to be ...

  \theta=\arccos\left(\dfrac{\vec{A}\cdot\vec{B}}{|\vec{A}|\,|\vec{B}|}\right)

__

<h3>computation</h3>

Because of the way the vectors in this solution are defined, the angle between any given pair of vectors will be an <em>exterior</em> angle of the triangle. In order to find the measure of the <em>interior</em> angle, we must reverse one of the vectors. That is, the dot product used in our computation will be the <em>opposite of the dot product</em> of the vectors we have found.

The spreadsheet shown in the first attachment does the necessary computations.

  • Each vector is the difference of successive points. (x1 -x2, y1 -y2)
  • Each dot product shown is the opposite of the dot product of successive vectors. -(x1x2 +y1y2)
  • The magnitude is computed in the usual way: the root of the sum of the squares of the components of the vector. √(x²+y²)
  • The cosine is the dot product of successive vectors, divided by each of the vector magnitudes.
  • The spreadsheet shows the angle in degrees, having converted it from the radian value produced by the ACOS function.

As a check, the spreadsheet shows the sum of the angle values. (The rounded values add up to 180.01°.)

The interior angles of the triangle are 23.20°, 71.57°, 85.24°.

_____

<em>Additional comment</em>

Another way to find the interior angles from coordinates is to consider the slope of each side of the triangle as being the tangent of the angle it makes with the x-axis. The difference of these angles can be used to find the interior angles of the triangle. Less work is involved because there is no dot-product or magnitude computation.

7 0
2 years ago
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