Answer:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
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To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
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<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
Answer:
B. <em>There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. </em>
Step-by-step explanation:
A. <em>One has 90% confidence that the sample proportion is equal to the population proportion. </em>
Confidence interval gives an interval estimate, not an equality
B. <em>There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. </em>
<em>Ture. </em>
<em>C.</em><em> One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. </em>
Also true but <em>One has 90% confidence is not good interpretation. </em>
<em>D</em><em>. 90% of sample proportions will fall between the lower bound and the upper bound.</em>
<em>Lower bound and upper bound is given to estimate population proportion. </em>
First distribute in the 2 on the left side to get 6d+6=7+6d
Then, you would combine the variables to be on one side of the equation by doing -6d. However, this would cancel out the d by leaving you with 0d+6=7. That is the same thing as saying 6=7.
The answer to this equation is no solution because 6 is NOT equal to 7.
Answer:
n=2
Step-by-step explanation:
Answer:
It helps in common sense
Step-by-step explanation:
