What is the mean average<br>
14, 12, 9, 2, 3, 1, 1<br><br>
10,10,10,5,9,12,12,24,8,31,3,10
Orlov [11]
Answer:
20.89
Step-by-step explanation:
x f fx
1 6 6
2 4 8
3 5 15
4 3 12
5 3 15
6 2 12
8 1 8
9 2 18
10 4 40 average=fx/f
12 3 36 = 961/46
14 2 28 = <u>20.89</u>
19 1 19
24 1 24
26 1 26
31 1 31
32 1 32
56 1 56
67 1 67
100 1 100
102 1 102
150 1 150
156 1 156
total: <em>46</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>961</em>
The solutions to the given system of equations is (0, -6) and (1, -5)
<h3>Simultaneous equations</h3>
From the question, we are to determine the solutions to the given system of equations
The equations are
x − y = 6 --------- (1)
y = x² −6 ---------- (2)
From equation (1)
x - y = 6
∴ x = 6 + y ------- (3)
Substitute into equation (2)
y = x² −6
y = (6+y)² −6
y = (6+y)(6+y) -6
y = 36 + 6y + 6y +y² -6
y = 36 + 12y + y² - 6
Simplifying
y² + 12y - y + 30 = 0
y² + 11y + 30 = 0
Solve quadratically
y² + 11y + 30 = 0
y² + 6y + 5y + 30 = 0
y(y +6) +5 (y +6) = 0
(y + 5)(y + 6) = 0
y + 5 = 0 OR y + 6 = 0
y = -5 OR y = -6
Substitute the values of y into equation (3)
x = 6 + y
When y = -5
x = 6 + (-5)
x = 6 -5
x = 1
When y = -6
x = 6 + (-6)
x = 6 -6
x = 0
∴ When x = 0, y = -6 and when x = 1, y = -5
Hence, the solutions to the given system of equations is (0, -6) and (1, -5)
Learn more on Solving simultaneous equations here: brainly.com/question/16863577
#SPJ!
1. Yes
2. No
3. 46.6 (recurring)
5. 22'
Sorry this is all I can do. Hope this helps :)
A) For object with mass m1,
F = m1 * 3
m1 = F/3
For object with mass m2,
F = m2 * 1
m2 = F
Ratio of m1/m2
(F/3) / F = 1/3
I don’t see it, tell me the equation so I can do it!
