(f+g)(x)=4x+7+3x^2
simply add them
Answer:
a. 88.70% of the variation in the cost is being explained by the resolution.
Step-by-step explanation:
Given :
Summation of (Yi - Ybar)2 = 147172
Summation of (Yhat - Ybar)2 = 130542
Summation of (Y - Yhat)2 = 16630
The Coefficient of determination (R²) :
Sum of Square regression (SSR) / sum of square TOTAL (SST). It gives the percentage of the dependent variable which can be explained by the regression line.
Cost is the dependent variable in this scenario.
SSR = Summation of (Yhat - Ybar)2 = 130542
SST = Summation of (Yi - Ybar)2 = 147172
Hence,
SSR / SST = 130542 / 147172
R² = 130542 / 147172
R² = 0.8870029 = (0.8870029 * 100%) = 88.7%
The break even point occur when C = R
So to solve for x we must equate C and R
C = R
24x + 80 = 44x
80 = 44x – 24x
80 = 20x
X = 80 / 20
X = 4
C = 24(4) + 80
C = 176
<span>R = 44(4) = 176</span>
Answer:
the distance of the Bird (B) from the plane (P) is = 10779 ft
Step-by-step explanation:
From the given information:
a diagrammatic representation is attached below for better understanding and solution to the question.
From the diagram;
Let the Bird (B) be represent as A
The plane (P) be represented by B
The observer be represented by O
and the tower T be represented by C
we will see that:
Also;
AO = BC = 7000
Let consider the trigonometry of triangle BAO
tan θ = opposite/adjacent
tan 33° = 7000/x
0.6494 = 7000/x
x = 7000/0.6494
x = 10779.18
x = 10779 ft ( to the nearest whole number)
Thus; the distance of the Bird (B) from the plane (P) is = 10779 ft
The first thing you must do is to calculate the weight of the gravel (w) that the truck holds (7.5 yards³). So, you have:
If the weight of 1 yard³ is 1.48 tons, then the weight of 7.5 yards³ is:
w=7.5x1.48 tons
w=11.1 tons
The problem says that the gravel will be placed in containers that each hold 3.7 tons of gravel,so, If they need 1 cotainer to place 3.7 tons, how many containers they need to place 11.1 tons?
1 container-------3.7 tons of gravel
x-------11.1 tons of gravel
x=(11.1x1)/3.7
x=11.1/3.7
x=3 containers
H<span>ow many containers of this size are needed to hold all the gravel from one truck?
</span>
The answer is: 3 containers.
