Answer:
Mean = 11.8
Median = 11
Step-by-step explanation:
Here we are asked to calculate the median and the mean for these set of numbers
Let’s start with the mean
The mean refers to the average, we simply add all the numbers together and divide by their count.
That would be;
Arithmetic mean = (10+ 5 + 18 + 9 + 17 + 12)/6 = 71/6 = 11.833 which is 11.8 to the nearest tenth
To get the median, what we do is to first rearrange the values we have from the lower to the highest.
That would be;
5,9,10,12,,17,18
Looking at the numbers after rearranging, the two middle numbers we have are 10 and 12.
So we add these together divide by 2.
That would be (10+12)/2 = 22/2 = 11
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
He would need 11.1 gallons of gas if he was/would drive 296 miles.
12 divided by 320 = .0375
.0375 x 296 = 11.1 Gallons of Gas needed to drive the distance.
Answer:
x=2.4
Step-by-step explanation:
as the 2 triangles are similar,
therefore ;
Answer:
Step-by-step explanation:
Let 
be the length of the longer side of the smaller rectangle and 
be the length of the shorter side of the smaller rectangle
When you look at the combined rectangle from top to bottom, you can see that 
. Therefore, 
This is the same for 
. Thus, 
When you look from right to left, you can see that 
. Using this, we can represent 
in terms of 
.
Now, we can find the ratio of 
:
<u>This question was quite hard to explain.</u>
<u>If you have any questions about the solution, feel free to ask.</u>
<u>Please have a look at the diagram below to get a better understanding of the solution.</u>
