Answer:
15.6 inches
Step-by-step explanation:
Here we want to find the length of the missing side
Mathematically, we can use Pythagoras’ theorem
The theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let the missing side be x
18 is the side that faces right angle and this is the hypotenuse
Thus, we have ;
x^2 + 9^2 = 18^2
x^2 = 324 - 81
x^2 = 243
x = √(243)
x = 15.6 in
Answer:
42.1% of variation in the response is explained by the regression line
Step-by-step explanation:
Correlation coefficient is a measure which tells us that how strongly are two variables under study are linearly related to each other i.e correlation coefficient gives the strength of linear association between the variables.
If the magnitude of correlation coefficient is closer to 1, it indicates a strong linear relationship. If the magnitude of correlation coefficient is closer to 0, it indicates a weak linear relationship.
There is another variable known as "Coefficient of Determination", which is equal to square of Correlation Coefficient. Coefficient of Determination tells us that what percentage of variation in the response of the study can be explained by the regression line.
This means, for this question we need to calculate the Coefficient of Determination.
Correlation coefficient = r = 0.649
Coefficient of Determination = R = r² = (0.649)²= 0.421 = 42.1 %
This means that 42.1% of variation in the response is explained by the regression line.
Answer:
The volume of the carton is 5 1/3 cubic feet
Step-by-step explanation:
A carton has a length of 2 2/3 feet, width of 1 1/3 feet, and a height of 1 1/2.
The dimensions can be rewritten as
Length of carton =2 2/3 = 8/3 converting to improper fraction).
width of 1 1/3 feet = 4/3 feet
and a height of 1 1/2= 3/2 ,feet
volume of the carton = length of the carton × width of the carton × height of the carton
Volume of carton = 8/3 ×4/3 × 3/2
= 96/18 cubic feet
Converting to mixed fractions, we have
96/18= 5 1/3 cubic feet
Answer:
understand it lol
Step-by-step explanation:
B. Rotation
I’m assuming the question is not asking about placement but just the way the shape is.
Hope this helps!
