Answer:
x = 15
Step-by-step explanation:
angles 2 and 4 are supplementary so they add up to 180
2x + 10 + 4x + 80 = 180
6x + 90 = 180
6x = 90
x = 15
Answer:
a.2nd quarter with 9 goals
b. 4.8 goals
c. 4 goals
Step-by-step explanation:
a. The mode is defined as the most appearing data point or the data point with the highest frequency..
From our data(for away goals):
- 1st quarter-2
- 2nd quarter-9
- 3rd quarter-7
- 4th quarter-4
Hence, the 2nd quarter has the mode for away goals with 9 goals.
b. Mean is defined as the average of a set of data points.
#We calculate the totals goals per quarter, sum over all quarters then divide by the number of games, 10:
![\bar x=\frac{1}{n}\sum{x_i}\\1^{st }_g=Away+Home=5+2=7\\\\2^{nd}_g=Away+Home=4+9=13\\\\3^{rd}_g=Away+Home=8+7=15\\\\4^{th}_g=Away+Home=9+4=13\\\\\bar x=\frac{1}{n}\sum{x_i}=\frac{1}{10}(7+13+15+13)=4.8](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%7Bx_i%7D%5C%5C1%5E%7Bst%20%7D_g%3DAway%2BHome%3D5%2B2%3D7%5C%5C%5C%5C2%5E%7Bnd%7D_g%3DAway%2BHome%3D4%2B9%3D13%5C%5C%5C%5C3%5E%7Brd%7D_g%3DAway%2BHome%3D8%2B7%3D15%5C%5C%5C%5C4%5E%7Bth%7D_g%3DAway%2BHome%3D9%2B4%3D13%5C%5C%5C%5C%5Cbar%20x%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%7Bx_i%7D%3D%5Cfrac%7B1%7D%7B10%7D%287%2B13%2B15%2B13%29%3D4.8)
Hence, the mean number of goals per quarter is 4.8 goals
c. To find the number of more home goals than away goals, we subtract from their summations as:
![g_m=\sum{g_h}-\sum{g_a}\\\\=(5+4+8+9)-(2+9+7+4)\\\\=26-22\\\\=4](https://tex.z-dn.net/?f=g_m%3D%5Csum%7Bg_h%7D-%5Csum%7Bg_a%7D%5C%5C%5C%5C%3D%285%2B4%2B8%2B9%29-%282%2B9%2B7%2B4%29%5C%5C%5C%5C%3D26-22%5C%5C%5C%5C%3D4)
Hence, there are 4 more home goals than away goals.
The quick way to dispute something like this is to simply do the calculation and then create a ratio.
Cube One (Large Cube)
The formula for a cube is V = e^3
e = the measurement of an edge. In this case.
e = 10 cm
V = e^3
V = 10^3 = 10*10*10
V = 1000 cm^3
Cube 2 (Small Cube)
V = e^3
e = 5 cm
V = 5*5*5
V = 125 cm^3
Ratio
Large Cube / Small Cube = 1000 / 125 = 8/1.
The difference in size is 8 to 1 not 2 to 1.
Explanation
He's right if he sticks to one side. The ratio of one side of the large cube to the small one is 2 to 1. But once you put that into the formula for volume, three sides are multiplied together and that 2 shows up everytime you multiply the sides together.
Answer:
it is the best deal cause i said
Step-by-step explanation: