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:
Answer:
or around 2%
Step-by-step explanation:
So we need to see how many tiles are left.
100 - 6 = 94
So we have 94 tiles. 2 of them are blank, so the chance of one being blank is:
2 / 94 which is
And that is our answer! Hopefully this helps, have a nice day :D
Answer:
Mike
Step-by-step explanation:
Hope this helped!
~Emma~
Using polynomial long division, we get
3x^3+6x^2+11x
_____________
(x+2) | 3x^4-x^2+cx-2
-(3x^4+6x^3)
____________
6x^3-x^2+cx-2
- (6x^3+12x^2)
_____________
11x^2+cx-2
-(11x^2+22x)
__________
(22+c)x-2.
If you're wondering how I did the long division, what I essentially did was get the first value (at the start, it was 3x^4) and divided it by the first value of the divisor (which in x+2 was x) to get 3x^3 in our example. I then subtracted the polynomial by the whole divisor multiplied by, for example, 3x^3 and repeated the process.
For this to be a perfect factor, (x+2)*something must be equal to (22+c)x-2. Focusing on how to cancel out the 2, we have to add 2 to it. To add 2 to it, we have to multiply (x+2) by 1. However, there's a catch, which is that we subtract whatever we multiply (x+2) by, so we have to multiply it by -1 instead. We still need to cross out (22+c)x. Multiplying (x+2) by -1, we get
(-x-2) but by subtracting the whole thing from something means that we have to add -(-x-2)=x+2 to something to get 0. x+2-x-2=0, xo (22+c)x-2 must equal -x-2, meaning that (22+c)=-1 and c=-23
