1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BaLLatris [955]
3 years ago
8

The number of​ _______ for a collection of sample data is the number of sample values that can vary after certain restrictions h

ave been imposed on all data values.
Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer:

Degrees of freedom

Step-by-step explanation:

You might be interested in
Which statement is NOT true about Rational Numbers? *
serg [7]

Answer:

Integers, Whole Numbers, and Natural Numbers are Rational Numbers

Step-by-step explanation:

Hope it helps :3

3 0
3 years ago
Use Cramer Rule to solve the following system: 8x−5y=70 and 9x+7y=3
nlexa [21]

Answer:

(x,y) = (5,-6)

Step-by-step explanation:

\underline{\textbf{Determinant of a matrix.}}\\\\\text{For a}~ 2 \times 2 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2\\b_1&b_2 \end{vmatrix} = a_1b_2 - a_2b_1\\\\\\\text{For a}~ 3 \times 3 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3 \end{vmatrix} = a_1\begin{vmatrix} b_2&b_3\\c_2&c_3 \end{vmatrix} - a_2 \begin{vmatrix} b_1&b_3\\c_1&c_3 \end{vmatrix}+ a_3 \begin{vmatrix} b_1&b_2\\c_1&c_2 \end{vmatrix}\\\\\\

                     ~~~~~~~~~~~~~~~~~~=a_1(b_2c_3-b_3c_2) -a_2(b_1c_3-b_3c_1) +a_3(b_1c_2-b_2c_1)

\underline{\textbf{Cramer's Rule to solve a system of two equations.}}\\\\\text{Consider the system of two equations:}\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_1x + b_1 y= c_1\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_2x +b_2 y = c_2\\\\\text{Here,}\\\\x = \dfrac{D_x}{D}= \dfrac{\begin{vmatrix} c_1&b_1\\c_2&b_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\\\ y= \dfrac{D_y}{D}= \dfrac{\begin{vmatrix} a_1&c_1\\a_2&c_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\

\underline{\textbf{Solution:}}\\\\~~~~~~~~~~~~~~~~~~~~~~~8x-5y = 70~~~~~~...(i)\\\\~~~~~~~~~~~~~~~~~~~~~~~9x +7y = 3~~~~~~~...(ii)\\\\\text{Applying Cramer's rule:}\\\\x = \dfrac{D_x}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 70& -5 \\3&7 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{70(7) -(-5)(3)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{490+15}{56+45}\\\\\\~~=\dfrac{505}{101}\\\\\\~~=5

y = \dfrac{D_y}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 8& 70 \\9&3 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{(8)(3) -(70)(9)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{24-630}{56+45}\\\\\\~~=-\dfrac{606}{101}\\\\\\~~=-6

\textbf{Hence, the solution to the system of equation is}~ (x,y) = (5,-6)

7 0
2 years ago
You throw a ball at a height of 5 feet above the ground. The height h (in feet)
Serjik [45]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
Find the area of the rectangle with vertices at the given points. You may find it helpful to sketch a graph.
SVETLANKA909090 [29]
It is 10 units². The difference between x and x is 5 and the difference between y and y is 2. 5 times 2 is 10. Hope this helps!
3 0
3 years ago
Ms. Smith has 28 sixth graders and 35 seventh graders for Math. If she wants to break the two grades into identical groups witho
Ghella [55]

Answer:

58

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • it say look at the bar diagram. what term refers to the amount joshua has to pay back in addition to the $300 he borrows? 7th so
    13·1 answer
  • Zero pairs are two numbers that _____ to get zero. 1. add 2. subtract 3. divide 4. multiply
    5·1 answer
  • If three bags of birdseed cost $14.16, how much will 14 bags cost?
    11·2 answers
  • Show That <br><img src="https://tex.z-dn.net/?f=%20%7Ba%20%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%208" id="TexFor
    13·1 answer
  • Geetha decides to take her puppy for a walk. After 90 feet, they stop to smell some roses. Then, Geetha runs into a friend 200 y
    8·1 answer
  • The coach uses a scale drawing of the soccer fieldin the diagram, to review plays with the team. The diagram uses a scale of 1/4
    7·1 answer
  • A bakery sells trays of cookies. Each tray contains at
    7·1 answer
  • How to use two terms to find a1,d, and an For the arithmetic sequence?
    12·1 answer
  • SOMEONE HELP ME BEFORE I PASS OUT<br><br> 1. |X|≤8<br><br> 2. |X|≤27
    8·1 answer
  • axine spent 15 hours doing her homework last week. this week she spent 18 hours doing homework. she says that she spent 120% mor
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!