Answer:
x = approx. 1.24 or -7.24
Step-by-step explanation:
It's hard to factor directly so we should use the quadratic formula or complete the square. I'm going to go with completing the square.
x²+6x-9=0
x²+6x=9
x²+6x is the same as x²+2·3·x, in order to make this into the algebraic identity (A+B)²=A²+2AB+B², we must add B², or in this case 3² to both sides. (A is x, B is 3)
x²+6x+9=18
(x+3)²= 18
x+3= ±√18
x= ±4.24 -3 (approximately 4.24)
First solution for x = 4.24-3 = 1.24
Second solution for x = -4.24-3 = -7.24
86/5
= 85/5 + 1/5
= (17x5)/5 + 1/5
= 17 + 1/5
Answer: has no equal sign
Answer:
Mean: 


Step-by-step explanation:
Given
See attachment for data
Solving (a): The mean
Mean is calculated as:

From the attached:

So, the mean is:



Solving (b): The median
; this is an even number. So, the median is:




This implies that the median is the average of the 7th and 8th item.
Next, is to order the data (in ascending order): <em>36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.</em>
The 7th and 8th items are: 40.2 and 40.2
The median is:



Solving (c): The mode
43.4 has the highest number of occurrence.
So:
