The answer is a. 11 and -1
The upper quartile for the data set given below is. 14, 8, 23, 9, 11, 27, 22, 3, 17, 12, 29
LekaFEV [45]
Ok, first we need to organize.
<span>14, 8, 23, 9, 11, 27, 22, 3, 17, 12, 29
</span>3, 8, 9, 11, 12, 14, 17, 22, 23, 27, 29.
First, we need to find the median, the or the middle, which is 14.
Now that we know the median is fourteen, we take away all numbers to the left of 14, including 14: 17, 22, 23, 27, 29. Now just find the median in this new set of numbers. This will give us our upper quartile, which is 23. Hope this helped, and don't forget to drop a like.
Directrix is a horizontal line, so the parabola is of the form
<span>(x-h)^2= 4p(y-k) , where (h,k) is the vertex </span>
<span>Coordinates of the focus is (h, k+p) </span>
<span>h = 8 (same as the focus) </span>
<span>k+p = -8 -----(1) </span>
<span>equation of directrix is y=k-p </span>
<span>k-p = -6 ------(2) </span>
<span>from (1) & (2) </span>
<span>2k = -14 </span>
<span>k=-7 </span>
<span>-7+p= -8 </span>
<span>p = -1 </span>
<span>vertex = (8,-7) </span>
<span>(x-8)^2 = -4(y+7) </span>
<span>y+7 = (-1/4) (x-8)^2 </span>
<span>y = (-1/4)(x-8)^2 - 7 is the parabola </span>
<span>What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? </span>
<span>Directrix is a horizontal line, so the parabola is of the form </span>
<span>(x-h)^2= 4p(y-k) , where (h,k) is the vertex </span>
<span>Coordinates of the focus is (h, k+p) </span>
<span>h = 1 (same as the focus) </span>
<span>k+p = 1 -----(1) </span>
<span>equation of directrix is y=k-p </span>
<span>k-p = -1 ------(2) </span>
<span>from (1) & (2) </span>
<span>2k = 0 </span>
<span>k=0 </span>
<span>0+p= 1 </span>
<span>p = 1 </span>
<span>vertex = (1,0) </span>
<span>(x-1)^2 = 4(y-0) </span>
<span>(x-1)^2=4y </span>
<span>y = (1/4) (x-1)^2 is the parabola</span>
Answer/Step-by-step explanation:
1.a)(iv). ![\frac{1}{6} + (-\frac{7}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20%2B%20%28-%5Cfrac%7B7%7D%7B8%7D%20)
Positive multiplied by negative = negative
![\frac{1}{6} - \frac{7}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20-%20%5Cfrac%7B7%7D%7B8%7D%20)
![\frac{4 - 21}{24} = \frac{-17}{24} = -\frac{17}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B4%20-%2021%7D%7B24%7D%20%3D%20%5Cfrac%7B-17%7D%7B24%7D%20%3D%20-%5Cfrac%7B17%7D%7B24%7D)
2a.) 73.48 +(-37.3)
![Note: + * - = -](https://tex.z-dn.net/?f=%20Note%3A%20%2B%20%2A%20-%20%3D%20-%20)
73.48 - 37.3 = 36.18
3c.)
÷
Convert to proper fraction
÷
Change ÷ to × and flip the fraction on your right upside down
![-\frac{1*7}{4*2} = -\frac{7}{8}](https://tex.z-dn.net/?f=%20-%5Cfrac%7B1%2A7%7D%7B4%2A2%7D%20%3D%20-%5Cfrac%7B7%7D%7B8%7D%20)
3d.) -52.25 ÷ (-5.5) = ![\frac{-52.25}{-5.5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-52.25%7D%7B-5.5%7D%20)
(Note: - ÷ - = + )
![\frac{-52.25}{-5.5} = 9.5](https://tex.z-dn.net/?f=%20%5Cfrac%7B-52.25%7D%7B-5.5%7D%20%3D%209.5%20)
1,995,298 rounded to the nearest 10,000 is 2,000,000
hope this helps