To find the median, we will list our numbers from least to greatest, and then cross out the smallest number and the biggest number. 0,0,1,3,3,4,5,5,7,7,7,7,7,10,18,50. 0,1,3,3,4,5,5,7,7,7,7,7,10,18. 1,3,3,4,5,5,7,7,7,7,7,10. 3,3,4,5,5,7,7,7,7,7. 3,4,5,5,7,7,7,7. 4,5,5,7,7,7. 5,5,7,7. 5,7. Since we cannot find a middle number, add the last two numbers up and divide by 2. 5+7 = 12. 12/2=6. Our median is 6. The mean is the sum of all numbers divided by how many numbers we have. 0+0+1+3+3+4+5+5+7+7+7+7+7+10+18+50= 132. We have 16 numbers total. 132/16 = 8.25. Our mean is 8.25. The mode is the number that appears the most within the given list. 7 appears the most. Your mode is 7. The range is the difference between the largest number and the smallest number. Our largest number is 50 and our smallest number is 0. The difference of two numbers means to subtract. Subtract 0 from 50. 50-0 = 50. Your range is 50. I hope this helps!
This is a 30, 60, 90 triangle. We have to multiply 14 by 2 to get the hypotenuse. In this case, the hypotenuse is y. 14x2 is equal to 28. Therefore, y=18. The long side is equal to the small side times the √3. Therefore, x is equal to 14√3. Therefore, x=14√3 and y=28.
Since the Point-Slope Formula is already given to you, convert it to Slope-Intercept Form, and you do that by doing this:
y - 1 = ¼(x - 12) >> y - 1 = ¼x - 3
y - 1 = ¼x - 3
+1+1
--------------
y = ¼x - 2 >> Slope-Intercept Form
After doing this, you are ready to convert to Standard Form, and you do that by doing this:
y = ¼x - 2
-¼x-¼x
-----------
-¼x + y = -2
Now unfortunately, we do not want fractions as our coefficients, so the way to eliminate the fraction is to multiply the equation by the Multiplicative Inverse of -¼, which is -4:
-4[-¼x + y = -2] >> x - 4y = 8 → New equation without fractions
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Reflection is an example of solid transformation in which an object is turned about a line or point to produce its image. Though the initial orientation of the given object changes, but its shape and size is preserved.
A trapezoid is a quadrilateral. If it undergo reflection across the x-axis, then y-axis; its parallel bases would remain parallel. Though the initial orientation of the trapezoid would have changed.
So, first to find <em>x</em> you need to subtract 121 from 180. You do this because both the angle which measures 121 degrees and <em>x</em> lie on the same line, and since a line has an angle measure of 180, you do 180-121 to find <em>x</em>. The same thing can be done for <em>y</em>. Since the angle measure of 34 degrees and y lie on the same line you can calculate 180-34 to get <em>y. </em>So, let's do that.
180-121=x
59=x
180-34=y
146=y
Once you've done that you can easily subtract the two and get your answer.
