Answer:
54 millimeters
Step-by-step explanation:
The median length would be in the middle of the values in order, so you could order the numbers 50,50,52,53,54,55,55,55,57. You would then find the middle value which would be the 5th value in a list of 9. In this case, it would be 54 millimeters.
Answer:
20
Step-by-step explanation:
we expect to have the smae outcome so we just multiply the out puts by 5 to see what would happen after 125 draws
Consider the vertex form of the parabola.<span><span>y=a<span><span>(x+h)</span>2</span>+k</span><span>y=a<span><span>(x+h)</span>2</span>+k</span></span>Rewrite the function in terms of <span>xx</span> and <span>yy</span>.<span><span>y=<span>x2</span>+6x−7</span><span>y=<span>x2</span>+6x-7</span></span>Complete the square on the right side of the equation.<span><span><span><span>(x+3)</span>2</span>−16</span><span><span><span>(x+3)</span>2</span>-16</span></span>Reorder the right side of the equation to match the vertex form of a parabola.<span><span>y=<span><span>(x+3)</span>2</span>−16</span><span>y=<span><span>(x+3)</span>2</span>-16</span></span>Since <span>33</span> does not contain the variable to solve for, move it to the right side of the equation by subtracting <span>33</span> from both sides.<span><span>x=−3</span><span>x=-3</span></span>Use the vertex form, <span><span>y=a<span><span>(x−h)</span>2</span>+k</span><span>y=a<span><span>(x-h)</span>2</span>+k</span></span>, to determine the values of <span>aa</span>, <span>hh</span>, and <span>kk</span>.<span><span>a=1</span><span>a=1</span></span><span><span>h=−3</span><span>h=-3</span></span><span><span>k=−16</span><span>k=-16</span></span>Since the value of <span>aa</span> is positive, the parabola opens up.Opens UpFind the vertex <span><span>(h,k)</span><span>(h,k)</span></span>.<span><span>(−3,−16)</span><span>(-3,-16)</span></span>Find <span>pp</span>, the distance from the vertex to the focus.<span><span>14</span><span>14</span></span>Find the focus.<span><span>(−3,−<span>634</span>)</span><span>(-3,-<span>634</span>)</span></span>Find the axis of symmetry by finding the line that passes through the vertex and the focus.<span><span>x=−3</span><span>x=-3</span></span>Find the directrix.<span><span>y=−<span>654</span></span><span>y=-<span>654</span></span></span>Use the properties of the parabola to analyze and graph the parabola.Direction: Opens UpVertex: <span><span>(−3,−16)</span><span>(-3,-16)</span></span>Focus: <span><span>(−3,−<span>634</span>)</span><span>(-3,-<span>634</span>)</span></span>Axis of Symmetry: <span><span>x=−3</span><span>x=-3</span></span>Directrix: <span>y=−<span><span>654
I sorta shortened the steps a bit if you need me to explain any more steps I will just ask.
I am sure you probably went over some of this in your class that is why I skipped a few steps so you would at least learn a little bit hehe.
I really hope this helps you.
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Answer:
-1 is the next one ithink