Answer:
(-6,1) (2,7)
Step-by-step explanation:
y =x+5
y = x^2 +5x-7
Set the two equations equal since y=y
x+5 = x^2 +5x -7
Subtract x from each side
x-x+5 = x^2 +5x-x -7
5 = x^2 +4x -7
Subtract 5 from each side
5-5 = x^2 +4x -7-5
0 = x^2 +4x-12
Now we can factor the right side
What 2 numbers multiply to -12 and add to +4
6*-2 =-12
6-2 =4
0 = (x+6) (x-2)
Using the zero product property
x+6=0 x-2=0
x=-6 x=2
We need to find y for each value of x
y = x+5 y = x+5
y = -6+5 y = 2+5
y =1 y = 7
You don't even have to look up the definition of 'standard deviation'. You only
have to remember that 'smaller standard deviation' means 'less spread-out'.
First, let's find the mean (average). It's not supposed to change:
1/7th of (65 + 71 + 77 + 80 + 82 + 90 + 96) = 561/7 = <u>80 and 1/7</u> .
Now, just pick 7 scores that total 561 and are all bunched up.
The easiest way would be 80, 80, 80, 80, 80, 80, 81 .
But that's so easy that it feels like cheating.
Let's say <u>77, 78, 79, 80, 81, 82, and 84</u> .
Answer:
Jayce should not use either option. Option 1 is likely to be based so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.
Step-by-step explanation:
<em>Given:</em>
<em>Jayce volunteers for the local library. The librarian wants to find out whether the patrons prefer paperback books or e-books. Jayce cannot decide which method to use for polling the patrons.</em>
<em>Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day.</em>
<em>Option 2: Poll every third patron who enters the library on Technology Appreciation Day.</em>
<em />
<em>Since, Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day. It biased because since it paperback lovers day thus, it would be likely that most people like the paperback which make it biased.</em>
<em>Since, Option 2: Poll every third patron who enters the library on Technology Appreciation Day. It biased because since it technology appreciation day thus, it would be likely that most people don't care about these stuff since people coming in are for technology appreciation.</em>
<em />
<em />
<em>Therefore, the answer is:</em>
Jayce should not use either option. Option 1 is likely to be based so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.
<u><em>Kavinsky</em></u>
Answer:
Look at explanation.
Step-by-step explanation:
<em><u>Dilation of scale factor of 5, because it would become more wide and open by a factor of 5. Reflection over y-axis, because it makes the shape double the size. Dilation of scale factor of 1/2, because it makes the shape half it's size.</u></em> The rotating 90 degrees would only change the shapes position, not the size. The translation would only move the shape to a different area, and not change the size.
