The function y = log 2 x has the domain of set of positive real numbers and the range of set of real numbers. Remember that since the logarithmic function is the inverse of the exponential function, the domain of logarithmic function is the range of exponential function, and vice versa.
In the order of PEMDAS
the first thing you would do is divide 18/3 = 6
then multiply 6 x 4 = 24
then add 24 + 6 = 30
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.
Answer:
Just Guess
Step-by-step explanation:
You Have More Than One Try... Thats What I Do With Multiple Awnsers
<span>2n^3-n^2-136 :Equation:
Substitute 0 for n
</span> Simplify {20}^{3}<span> to </span><span>8000
</span>
<span>8000−<span>0<span><span>^2</span><span></span></span></span>−136
</span> Simplify <span>{0}^{2}<span></span></span><span> to </span><span>0
</span><span><span>8000−0−136
= 7864</span></span><span>
</span>