Answer:
Step-by-step explanation:
2(l+b)=16
Also it is given that l=2b+2
2(2b+2+b)=16
3b+2=8
b=2metre
l=2(2)+2
l=6metre
Hi there.
Y = 2x + 3
Solve for y when x = 3
The first thing we need to do is replace x by the 3 in the equation.
Y = 2(3) + 3
Y = 6 + 3
Y = 9
Thus, your answer is : C
Width = x
length = x+10
Area of deck = 144 square feet
Area = length * width
144 = x(x+10)
Solving for x in a quadratic:
x²+10x = 144
x²+10x-144 = 0
Factor:
(x+18)(x-8) = 0
Solving for x:
x = 8, x = -18
Dimensions cannot be negative, therefore x = 8, only.
Length = x + 10
Length = 18
Width = 8
Answer:
Parallel: G and F
perpendicular: G & H, F & H
Step-by-step explanation:
G and F are parallel because they will never cross, where as both are perpendicular to H because they intersect at 90°
Answer: a. iv. The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.
b. ii. There is a fairly strong, negative relationship between car weight and miles per gallon.
Step-by-step explanation:
- A coefficient of determination (denoted by R²) is a measure in a regression model that determines proportion of the variance in the dependent quantity that is predictable from the independent quantity.
- It is square of correlation coefficient (R).
Here, independent quantity = weight of a car
dependent quantity = miles per gallon (gas mileage)
The coefficient of determination (R²) was reported to be 79.6%.
That means, The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.
- A correlation coefficient(R) tells about the strength and direction of relation .
- It lies between -1 and 1.
For the study, the correlation coefficient R is -0.8921.
There is a fairly strong, negative relationship between car weight and miles per gallon.
