Answer:
Option b) r = 0.70
Step-by-step explanation:
We are given the following in he question:
Variables:
x = the number of hours spent studying for a test
y = the number of points earned on the test
- Correlation is a technique that help us to find or define a relationship between two variables.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity
- A negative correlation means with increase in one quantity the other quantity decreases.
- +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
- Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
- Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.
As the number of hours increases, the number of points earned on the test increases. Thus, the two variables are positively correlated.
Thus, the coefficient correlation between two variables can be given by r = 0.70, that shows a moderate positive correlation.
Option b) r = 0.70
Answer:
51.36=38
Step-by-step explanation:
You apply all these together:
64-31-3.64 + 22=51.36
51.36=38
The inequality is given by 20x + 25y ≤ 1100 and x + y > 50
<h3>What is an
inequality?</h3>
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let y represent the number of soccer balls and x represent the number of volleyballs.
The coach can spend a maximum of $1,100, hence:
20x + 25y ≤ 1100
Also, The coach plans to order at least 50, hence:
x + y > 50
The inequality is given by 20x + 25y ≤ 1100 and x + y > 50
Find out more on inequality at: brainly.com/question/24372553
For the volume of triangular prism, volume = 0.5xaxbxc
=0.5x10x7x6
=210cm^3
Answer:
The cellphone towers height is 1020 ft.
Step-by-step explanation:
This question is solved using proportions, by a rule of three.
A 10-ft post casts a 14-inch shadow.
Each feet has 12 inches, which means that a post with 10 feet will cast a 14/12 = 1.167 ft shadow. How tall is the cell-phone tower with a 119-feet shadow?
10 feet post - 1.167 ft shadow
x feet tower - 119 feet shadow
Applying cross multiplication:
The cellphone towers height is 1020 ft.
