Answer:
The answer to your question is L = 10 in , M = 9 in ; S = 5 in
Step-by-step explanation:
Data
longest side = 5 + x in
medium side = 4 + x in
shortest side = x
Perimeter = 24 in
Process
1.- Write and equation to solve this problem
Perimeter = longest side + medium side + shortest side
Substitution
24 = (5 + x) + (4 + x) + x
Simplification
24 = 5 + x + 4 + x + x
24 = 9 + 3x
24 - 9 = 3x
15 = 3x
x = 15/3
x = 5
2.- Calculate the lengths of the side
Longest side = 5 + 5 = 10 in
Medium side = 5 + 4 = 9 in
Shortest side = 5 in
Answer:
Each side of the Rhombus is equal to 4x
Answer:
100/9
Step-by-step explanation:
(7*5*2/7*3)² * (5^0/2^-3)³ * 2^-9
Solution:
We know that any number with power 0 = 1
(7*5*2/7*3)² * (1/2^-3)³ * 2^-9
Now cancel out 2 by 2
= (7*5*2/7*3)² * (1/1^-3)³ * 1^-9
=(70/21)² * (1)³/(1^-3)³ * 1^-9
=(10/3)^2 * 1/1^-1 * 1/1^9
=100/9 *1 *1
=100/9....
The option fourth "There is a strong negative relationship between x and y" is correct.
<h3>What is correlation?</h3>
It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
![\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}](https://tex.z-dn.net/?f=%5Crm%20r%20%3D%20%5Cdfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%7B%5Bn%5Csum%20x%5E2-%20%28%5Csum%20x%29%5E2%5D%7D%7D%5Csqrt%7B%5Bn%5Csum%20y%5E2-%20%28%5Csum%20y%29%5E2%5D%7D%7D)
The options are:
- There is no relationship between x and y.
- There is a weak negative relationship between x and y.
- There is a strong positive relationship between x and y.
- There is a strong negative relationship between x and y.
We have data:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The value of correlation r = -0.9847
As we know the value of r between -1 to +1
If r = 1 (perfect and positive correlation)
if r = -1 (perfect and negative correlation)
We have r = -0.9847
The value is near to -1 which means there is a strong negative relationship between x and y.
Thus, the option fourth "There is a strong negative relationship between x and y" is correct.
Learn more about the correlation here:
brainly.com/question/11705632
#SPJ1
Slope of (6, 9) & (7, 1)
To find the slope, we use the equation : m = y₂-y₁ / x₂-x₁
**Remember : m = slope**
Let's say that (6, 9) is our first set of points, and (7, 1) is our second.
If those are our first and second points, then we now know this :
x₁ = 6, x₂ = 7, y₁ = 9, y₂ = 1
Now that we know that, we can simply plug those points into our slope equation.
m = y₂ - y₁ / x₂ - x₁
m = (1 - 9) / (7 - 6 )
Simplify.
m = -8 / 1
Simplify.
m = -8
So, our slope is -8.
~Hope I helped!~