You test calories for a food item. The brand name has a mean of 158.706 and a sample standard deviation = 25.236, when seventeen
1 answer:
Answer:
option C
Step-by-step explanation:
given,
α = 1 - 0.95 = 0.05
degree of freedom (df) = 17 -1 = 16
critical value (from t-table)
margin of error =
=2.120\times \sqrt{\dfrac{25.36^2}{17}+\dfrac{25.183^2}{17}}[/tex]
= 2.120 x 8.6467
= 18.33
Margin of error = 18.33
Point estimation of difference =
= 36.235
lower limit = 36.235 - 18.33 = 17.91
upper limit = 36.235 + 18.33 = 54.57
hence, the nearest option near to answer is option C
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Answer:
(x, y) = (1/2, -1)
Step-by-step explanation:
Subtracting twice the first equation from the second gives ...
(2/x +1/y) -2(1/x -5/y) = (3) -2(7)
11/y = -11 . . . . simplify
y = -1 . . . . . . . multiply by y/-11
Using the second equation, we can find x:
2/x +1/-1 = 3
2/x = 4 . . . . . . . add 1
x = 1/2 . . . . . . . multiply by x/4
The solution is (x, y) = (1/2, -1).
_____
<em>Additional comment</em>
If you clear fractions by multiplying each equation by xy, the problem becomes one of solving simultaneous 2nd-degree equations. It is much easier to consider this a system of linear equations, where the variable is 1/x or 1/y. Solving for the values of those gives you the values of x and y.
A graph of the original equations gives you an extraneous solution of (x, y) = (0, 0) along with the real solution (x, y) = (0.5, -1).
