Answer:
length of rectangle = 5
width of rectangle = 5
Area of rectangle = 25
Step-by-step explanation:
Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:
Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.
Recall that the formula for the x of the vertex of a quadratic of the form :
is given by the formula:
which in our case gives:
Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.
The area of the rectangle is therefore the product of these two values: 5 * 5 = 25
Which should coincide with the value we obtain when we replace x by 5 in the area formula:
Answer:
-2
Step-by-step explanation:
Two points (1,0) (0,2) use slope formula 0-2/1-0
Answer:
After 5 minutes of hitting my head on a wall I found your answer... 3256
Step-by-step explanation:
Answer:
inverse operations (KristaKingMath)
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>
