HELP AGAIN PLEASE, totally lost
1 answer:
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<em>Correct Question:</em>
<em>It took Jed 5/3 of an hour to complete his math homework on Friday, 3/4 of an hour on Saturday, and 5/6 of an hour on Sunday. How many hours did he take to complete his homework altogether?</em>
Answer:
Step-by-step explanation:
Given
Required
Determine the total time spent
Total time is calculated as follows:
Divide numerator and denominator by 3
--> y=2x^2+8x+5
Step 1: Group the first 2 terms together, separating them from the constant term.
--> (2 x X^2+{8}x X)+{5}
Step 2: Factor out leading coefficient, for completing the square to work, the coefficient of x2 must be 1.
--> 2 x (x^2+{4} x X) +{5}
Step 3: Complete the square, Take half of x coefficient and square it. Notice to keep equation balanced you must add this number and subtract it making the net effect zero.
--> 2 x(X^2{4}x X +4-4)+ {5}
--> 2 x(X+{2}^2 x 4) + {5}
Step 4: Distribute and add constants.
--> 2 x(X+{2}^2 -8+5
--> 2 x(X+{2}^2 +{-3}
Now it is successfully in vertex form and can be easily graphed.
The vertex is at (-2,-3)
The parabola opens up and has a y-intercept at (0, 5)
Here is a graph of this parabola:
Step 1: Group the first 2 terms together, separating them from the constant term.
--> (2 x X^2+{8}x X)+{5}
Step 2: Factor out leading coefficient, for completing the square to work, the coefficient of x2 must be 1.
--> 2 x (x^2+{4} x X) +{5}
Step 3: Complete the square, Take half of x coefficient and square it. Notice to keep equation balanced you must add this number and subtract it making the net effect zero.
--> 2 x(X^2{4}x X +4-4)+ {5}
--> 2 x(X+{2}^2 x 4) + {5}
Step 4: Distribute and add constants.
--> 2 x(X+{2}^2 -8+5
--> 2 x(X+{2}^2 +{-3}
Now it is successfully in vertex form and can be easily graphed.
The vertex is at (-2,-3)
The parabola opens up and has a y-intercept at (0, 5)
Here is a graph of this parabola:
Answer: 0.017
Step-by-step explanation:
The confidence interval for population proportion p is given by :-
, where E is the margin of error.
Given : The proportion of the sample of young Americans earned their high school diploma :
The 95% confidence interval for the proportion of young Americans who have earned their high school diploma is (0.853,0.887) .
i.e.
Subtract equation (1) from (2) , we get
Hence, the margin of error for this confidence interval =0.017