Answer:
<h2>x=52</h2>
Basic fact:
<em>angles in a point add up to 360</em>
Step-by-step explanation:
20+165+33+90(that is the right angle)+x=360
20+165+33+90=308
308+x=360
-308
x=52
The mean is 6394530.35 and the median is = 3355572.5
The missing data is attached in the answer.
<h3>What is Mean ?</h3>
Mean is the average value of the data points , it is determined by dividing the total sum of the data points to the number of data points.
Mean and Median is the measure of the central; tendency of the data.
Mean is given by
Sum of the observations/number of observations
= (741894 + 6931071....)/20
= 6394530.35
2) To find median
The data needs to be arranged in ascending order
Then the median is the middle number of the arranged data
Here the median is = 3355572.5
To know more about Mean
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Answer:
36 feet.
Step-by-step explanation:
We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is
. We are asked to find the maximum height of the ball.
We can see that our given equation is a downward opening parabola, so its maximum height will be the vertex of the parabola.
To find the maximum height of the ball, we need to find y-coordinate of vertex of parabola.
Let us find x-coordinate of parabola using formula
.
![x=-\frac{-48}{2(-16)}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B-48%7D%7B2%28-16%29%7D)
![x=-\frac{48}{32}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B48%7D%7B32%7D)
![x=-\frac{3}{2}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B3%7D%7B2%7D)
So, the x-coordinate of the parabola is
. Now, we will substitute
in our given equation to find y-coordinate of parabola.
![h(t)=-48t -16t^2](https://tex.z-dn.net/?f=h%28t%29%3D-48t%20-16t%5E2)
![h(-\frac{3}{2})=-48(-\frac{3}{2})-16(-\frac{3}{2})^2](https://tex.z-dn.net/?f=h%28-%5Cfrac%7B3%7D%7B2%7D%29%3D-48%28-%5Cfrac%7B3%7D%7B2%7D%29-16%28-%5Cfrac%7B3%7D%7B2%7D%29%5E2)
![h(-\frac{3}{2})=-24(-3)-16(\frac{9}{4})](https://tex.z-dn.net/?f=h%28-%5Cfrac%7B3%7D%7B2%7D%29%3D-24%28-3%29-16%28%5Cfrac%7B9%7D%7B4%7D%29)
![h(-\frac{3}{2})=72-4*9](https://tex.z-dn.net/?f=h%28-%5Cfrac%7B3%7D%7B2%7D%29%3D72-4%2A9)
![h(-\frac{3}{2})=72-36](https://tex.z-dn.net/?f=h%28-%5Cfrac%7B3%7D%7B2%7D%29%3D72-36)
![h(-\frac{3}{2})=36](https://tex.z-dn.net/?f=h%28-%5Cfrac%7B3%7D%7B2%7D%29%3D36)
Therefore, the maximum height of the ball is 36 feet.
Answer:
1/3 of each cake
Step-by-step explanation:
2/3 is more then 1/2
6. Often, judging the symmetry and skewness of such distributions is not easy to do by eye, especially when they are asymmetrical or skewed in different ways. Here, the mean of set A is about 7, so the data is skewed to the left more than for set B, which has a mean of about 5.4--closer to the middle of the range.
Both data sets have the same range: 2–10. Set A's mode of 8 is higher than set B's mode of 6.
Hence, the only true statement appears to be
... B. Set B has the lesser mean.
7. For each of the 3 choices of meat, there are 3 choices of bread, and for each of any of those 9 choices, there are 4 choices of condiment—a total of 3×3×4 = 36 choices in all. The best answer is ...
... C. 36
8. The pie chart tells you 5% of the $4800 of monthly income is spent on transportation. That amount is .05×$4800 = ...
... C. $240