Answer:
From left to right, -3/2, -4/5, -3/10, 1/2, 7/8, 4/3
Step-by-step explanation
So what we're trying to do here is to order the numbers from greatest to least.
Let's start off with the negative numbers.
-3/10, -4/5, -3/2.
Now what we want to do is give them all a common denominator to figure out which one is the least of that group.
-3/10,-8/10,-15/10.
Now on to the positive numbers.
1/2, 4/3, 7/8
Turn the denominator into 24.
12/24, 32/24, 21/24
Then put them all in order.
Converting observations from original values to standard deviation units is known as standardizing the data values. This is done in order to get values in such a form where we can compare them. For example, if we have the test scores of two different school and we want to compare the result of the students we have to first convert them into standard deviation units.
Converting the values to standard deviation units is also known as converting the values to z scores.
The formula for the z score is:
[tex]z= \frac{x-u}{s} [/tex]
where x is the data value, which is to be standardized.
u is the average of the entire data.
s is the standard deviation of the data.
Answer:
The length of the resulting segment is 500.
Step-by-step explanation:
Vectorially speaking, the dilation is defined by following operation:
![P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BP%28x%2Cy%29-O%28x%2Cy%29%5D)
(1)
Where:
- Center of dilation.
- Original point.
- Scale factor.
- Dilated point.
First, we proceed to determine the coordinates of the dilated segment:
(
, 
, 
, 
)
![P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B5%5Ccdot%20%5B%2810%2C40%29-%280%2C0%29%5D)
![Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]](https://tex.z-dn.net/?f=Q%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BQ%28x%2Cy%29-O%28x%2Cy%29%5D)
![Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]](https://tex.z-dn.net/?f=Q%27%20%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B5%5Ccdot%20%5B%2870%2C120%29-%280%2C0%29%5D)
Then, the length of the resulting segment is determined by following Pythagorean identity:
The length of the resulting segment is 500.
Answer:
-5
Step-by-step explanation:
We look at the number line and see where the dot is placed and that us is our answer
Answer:
D
Step-by-step explanation:
