.5
The graph would be bell shaped. So the odds are 50/50
-4b-8 + -1b^2 +2b^3
-4(-2)-8+-1(-2)^2+2(-2)^3
8-8+2^2-4^3
4-64
60
10lb. of jam needs 5lb. apple, or 2lb. of jam needs 1lb. apple.
Now we want 8lb. of jam.
Set up a proportion:
2/1=8/x
Solve for x by cross-multiplying.
2x=8
x=4 lb. of apple
Answer: x = 1.1968729357 ; or, round to: 1.2 .
____________________________________________ You would take the "ln" (that is, "natural logarithm") of EACH side of the equation:
ln (e^4x) = ln (120);
______________________
Then continue:
4x ln e = ln 120
4x = ln 120 ; (since "ln e = 1")
then divide EACH side of the equation by "4", to isolate "x" on one side of the equation; and to solve for "x" ;
___________________________________
4x / 4 = (ln 120) / 4 ;
___________________________
x = (ln 120) / 4 ;
______________________________
Using a calculator:
_________________________________________________________
x = (ln 120) / 4 = (4.78749174278) / 4 = 1.1968729357
Answer: x = 1.1968729357 ; or, round to: 1.2 .
____________________________________________
Answer:
-2
Step-by-step explanation:
In a linear regression model we have the equation 
that relates 
and 
, where 
is the estimator of the slope and 
is the estimator of the Y-intercept. The coefficients and can be estimated with the equations:
. Thus,
