Answer:
Median: 89
Mean: 87.5
Step-by-step explanation:
86, 90, 93, 85, 79, 92
93, 85
93 + 85
178
178/2
89
86 + 90 + 93 + 85 + 79 + 92
525
525/6
87.5
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
<h3>How to determine the value of x?</h3>
The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
brainly.com/question/2972832
Answer:
Step-by-step explanation:
Total marble = 4+6+7 = 17
Number of green = 7
Prob(1st green) = 7/17
Now their are 6 green left and 16 marble
Prob(2nd green) = 6/16 = 3/8
Now their are 5 green left and 15 marble
Prob(3rd green) = 5/15 = 1/3
Prob(1st and 2nd and 3rd green) will be = 7/17 × 3/8 × 1/3
= 7/(17×8)
= 7/136
Any unknown number in an equation you represent with a variable
