Answer:
<h3>X=-1/8=-0.125</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
x+2/4=3/8
2/4=1/2 (First, use the common factor of 2.)
x+1/2=3/8
x+1/2-1/2=3/8-1/2 (Then, subtract 1/2 from both sides.)
3/8-1/2 (Solve.)
3/8-1/2=-1/8
-1/8=-0.125
x=-1/8=-0.125
In conclusion, the final answer is x=-1/8=-0.125.
Given:
Growth rate = 30% decrease
To find:
The growth factor associated with the given growth rate.
Solution:
The general exponential function is:


Where, a is the initial value, r is the growth rate in decimal and
is the growth factor.
It is given that the growth rate is 30% decrease. So,



Now,




Therefore, the growth factor is 0.7.
Answer:

Step-by-step explanation:
(x+1) (x−4) (x+3)
= ((x+1)(x−4)) (x+3)
= ((x+1)(x−4)) (x)+((x+1)(x−4)) (3)
= 
= 
Find the linear regression equation for the transformed data. x=1,2,3,4,5 y=13,19,37,91,253 log y=1.114,1.279,1.568,1.959,2,403
Talja [164]
Answer:
The answer is OPTION (D)log(y)=0.326x+0.687
<h2>
Linear regression:</h2>
It is a linear model, e.g. a model that assumes a linear relationship between the input variables (x) and the single output variable (y)
The Linear regression equation for the transformed data:
We transform the predictor (x) values only. We transform the response (y) values only. We transform both the predictor (x) values and response (y) values.
(1, 13) 1.114
(2, 19) 1.279
(3, 37) 1.568
(4, 91) 1.959
(5, 253) 2.403
X Y Log(y)
1 13 1.114
2 19 1.740
3 37 2.543
4 91 3.381
5 253 4.226
Sum of X = 15
Sum of Y = 8.323
Mean X = 3
Mean Y = 1.6646
Sum of squares (SSX) = 10
Sum of products (SP) = 3.258
Regression Equation = ŷ = bX + a
b = SP/SSX = 3.26/10 = 0.3258
a = MY - bMX = 1.66 - (0.33*3) = 0.6872
ŷ = 0.3258X + 0.6872
The graph is plotted below:
The linear regression equation is log(y)=0.326x+0.687
Learn more about Linear regression equation here:
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Answer:
18 logs.
Step-by-step explanation:
Since a stove burns 4 logs per 2 hours, then the stove will burn 2 logs in one hour. There fore in 9 hours the stove will burn 2*9 which is 18 logs.
4:2= 2 logs per hour
2*9=18 logs per 9 hours.