Since we are working with an equation written in scientific notation and we are dealing with a negative exponent, we are going to divide 4.7 by 10 three times.
4.7 / 10 = 0.47
0.47 / 10 = 0.047
0.047 / 10 = 0.0047
Best of Luck!
Answer:
To find a percentage, divide the first # by the second #. So, 15 divided by 75 is 0.2, multiply it by 100 and you get 20%. Therefore, 20% of salons are still in business after 3 years.
I think you need to subtitue the letters with the points on the graph and solve.
Answer:
m = 0.2 kg.
Step-by-step explanation:
Joint variation:
Q = kmT where k is a constant.
Subsituting the given values:
20930 = k*1*5
k = 20930 / 5 = 4186.
So the relation is:
Q = 4186mT
When Q = 8372 and T = 10:
8372 = 4186 * m * 10
m = 8372 / (4186*10)
m = 0.2 kg.
Answer:
Step-by-step explanation:
The data:
![\begin{matrix}i= & 1 & 2 & 3 & 4 & 5 & 6\\X= & 0 & 1 & 2 & 3 & 4 & 5\\P= & 0.6 & 0.2 & 0.12 & 0.4 & 0.4 & 0\end{matrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bmatrix%7Di%3D%20%26%201%20%26%202%20%26%203%20%26%204%20%26%205%20%26%206%5C%5CX%3D%20%26%200%20%26%201%20%26%202%20%26%203%20%26%204%20%26%205%5C%5CP%3D%20%26%200.6%20%26%200.2%20%26%200.12%20%26%200.4%20%26%200.4%20%26%200%5Cend%7Bmatrix%7D)
whereby
correspondingly represent the index number, the number of days absent and the corresponding probability.
Firstly we calculate the expected number of days absent using the following formula:
![E(X)=\sum_{i=1}^{6}X_i P_i = 0.72](https://tex.z-dn.net/?f=E%28X%29%3D%5Csum_%7Bi%3D1%7D%5E%7B6%7DX_i%20P_i%20%3D%200.72)
Subsequently, we calculate the standard deviation using the following formula:
![\\\sigma =\sqrt{\sum_{i=1}^{6}P_i\times[X_i-E(X)]^2}=1.0778](https://tex.z-dn.net/?f=%5C%5C%5Csigma%20%3D%5Csqrt%7B%5Csum_%7Bi%3D1%7D%5E%7B6%7DP_i%5Ctimes%5BX_i-E%28X%29%5D%5E2%7D%3D1.0778)
For the detailed calculation, please see the attached Excel file.