Answer:
Mean: 5
Median: 4.5
Mode: 5
Mean Absolute Deviation: 0.5
Step-by-step explanation:
<u>MEAN: </u>
The mean is the total of the numbers divided by the amount of numbers.
Add them all together: 5 + 4 + 6 + 5 + 4 + 6 + 5 + 5 = 40
Find how many numbers there are: 8
Divide the total of the numbers by the amount of numbers: 40 / 8 = 5
The mean of this data is 5
<u>MEDIAN:</u>
Find the number in the middle. In this case there is no number in the middle (the amount of numbers is even). So we find the average of the two middle numbers: (5 + 4) / 2 = 4.5
The median of this data is 4.5
<u>MODE:</u>
The mode is the number that occurs the most. In this case it is 5.
The mode of this data is 5
<u>MEAN ABSOLUTE DEVIATION:</u>
We know that the mean of this data is 5 so we will skip finding the mean.
Now we need to find the absolute difference of the numbers and the mean.
| 5 - 5 | = 0
| 4 - 5 | = 1
| 6 - 5 | = 1
| 5 - 5 | = 0
| 4 - 5 | = 1
| 6 - 5 | = 1
| 5 - 5 | = 0
| 5 - 5 | = 0
Then we add all of these together: 0 + 1 + 1 + 0 + 1 + 1 + 0 + 0 = 4
After that we divide the total by the amount of numbers 4 / 8 = 0.5
The mean absolute deviation of this data is 0.5
The solution of two equations/lines is their intersect point.
Therefore, there can only be one intersection point/solution, because these lines are neither parallel or identical.
In the graph you can see that they intersect at (x,y)=(2,3) which is your solution and option b or d as one of them seems to be mistyped :)
@question2
y=kx+b
both your equations share the same k=-2:
y=-2x+3
y=-2x-1
therefore these lines are parallel and don't have any intersection as they are always at different y values (the b)
The number is 4
Step-by-step explanation:
First of all we have to convert the given statement in mathematical form.
Let c be the number then according to given statement

We have to isolate the variable in the equation
Dividing both sides by 2

Adding 3 on both sides

Hence,
The number is 4
Keywords: Linear equation, variables
Learn more about linear equation at:
#LearnwithBrainly
Since each pie has a serving size of 1/6, and there's seven pies, multiply 7 by 6 to find the amount of servings available.
6 × 7 = 42
<h2>Answer:</h2>
<u>There's </u><u>42 available servings</u><u> for the guests.</u>
Answer:100
Step-by-step explanation:
52+28=80
180-80=100