Answer: 149° both
Step-by-step explanation:
The angle B and C are equal as they are on opposite sides.
Angle B and C is equal to 180 - 31 = 149 due to the straight line rule
Choice D is true. It is just another way to write the given function.
To confirm choices A through C, replace x as follows and do the math:
For A, let x = -3. Does it really yield -11?
For B, let x = 0. Does it really yield 5?
For C, let x = 1/2. Does it really yield 4?
Take it from here.
A) y=55x+80
C) y=55(12)+80 = 740$ after a year
B)
The equation of the regression line is
=9.1006+(-0.2157)x and the point prediction of ammonium concentration for 25ml/h is
=3.7081
<h3>What is meant by regression line?</h3>
A regression line is an approximation of the line that describes the true, but unknown, linear connection between two variables. The regression line equation is used to predict (or estimate) the value of the response variable from a given value of the explanatory variable.
In statistical modeling, regression analysis is a collection of statistical techniques for estimating the associations between a dependent variable and one or more independent variables.
a)
=β₀+β₁x
Where,
β₁=
/
-------(1)
Where,
= -341.959231
1585.230769
By substituting these values in equation 1 we get,
β₁= -0.2157
β₀=
-β₁x
Where,
=∑
/n
∑
=52.8
n=13
Then,
=4.0615
=∑
/n
∑
=303.7
n=13
=23.3615
β₀=4.0615-(-0.2157)(23.3615)
=9.1006
Therefore, β₀=9.1006
The regression equation is
=9.1006+(-0.2157)x
If x=25,
=9.1006+(-0.2157)(25)
=3.7081
To know more about regression line, visit:
brainly.com/question/7656407
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1) 2x = +/- 4 so x = +/- 2
2) x-3 = 7 OR x - 3 = -7
so x = 10 or x = -4
3)2x + 5 = 21 OR 2x + 5 = -21
so x = 8 or x = -13
4) x + 4 = 6 OR x + 4 = -6
so x = 2 or x = -10
5) x + 2 = -(2x+4) OR x + 2 = 2x + 4
x = -2 or x = -6
6) x + 7 = 0
x = -7
7) you forgot the equal sign somewhere in this problem