Answer:
![Average = 10](https://tex.z-dn.net/?f=Average%20%3D%2010)
Step-by-step explanation:
Given
--- Average
--- Average
Required
Determine the overall average
Represent the sum of the first three with x.
So:
![\frac{x}{3} = 14](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%20%3D%2014)
Solve for x
![x = 14 * 3](https://tex.z-dn.net/?f=x%20%3D%2014%20%2A%203)
![x = 42](https://tex.z-dn.net/?f=x%20%3D%2042)
Represent the sum of the next seven with y.
So:
![\frac{y}{7} = 4](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B7%7D%20%3D%204)
Solve for y
![y = 4 * 7](https://tex.z-dn.net/?f=y%20%3D%204%20%2A%207)
![y = 28](https://tex.z-dn.net/?f=y%20%3D%2028)
The overall average is calculated as thus:
![Average = \frac{x + y}{7}](https://tex.z-dn.net/?f=Average%20%3D%20%5Cfrac%7Bx%20%2B%20y%7D%7B7%7D)
![Average = \frac{42 + 28}{7}](https://tex.z-dn.net/?f=Average%20%3D%20%5Cfrac%7B42%20%2B%2028%7D%7B7%7D)
![Average = \frac{70}{7}](https://tex.z-dn.net/?f=Average%20%3D%20%5Cfrac%7B70%7D%7B7%7D)
![Average = 10](https://tex.z-dn.net/?f=Average%20%3D%2010)
Solution:
a. the person is a male, given that the person has a secondary education.
The probability that a person is a male, given that the person has secondary education is:
P(Male | Secondary education) ![=\frac{26}{78}=\frac{1}{3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B26%7D%7B78%7D%3D%5Cfrac%7B1%7D%7B3%7D)
Therefore, a person is a male, given that the person has secondary education is ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
b. The person does not have a college degree, given that the person is a female.
The probability that a person does not have a college degree, given that the person is a female is:
P(Not college degree | female) ![=\frac{47+52}{118}=\frac{99}{118}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B47%2B52%7D%7B118%7D%3D%5Cfrac%7B99%7D%7B118%7D)
Therefore, a person does not have a college degree, given that the person is a female is ![\frac{99}{118}](https://tex.z-dn.net/?f=%5Cfrac%7B99%7D%7B118%7D)
Answer:
e/g+f/g
Step-by-step explanation:
(e+f)/g can be split up. e/g+f/g is equal to (e+f)/g so your answer is e/g +f/g
Answer: 110
The 3 figures showed the same pattern by multiplying 2 consecutive whole numbers starting from one. Multiplying 1 by 2 gets 2, 2 by 3 gets 6, 3by 4 results to 12 and so on. If this pattern continues, then 4 will be multiplied by 5, 5 by 6, 6 by 7, 7 by 8, 8 by 9, 9 by 10, and lastly the 10th figure 10 by 11 which is equal to 110.
Answer:
Step-by-step explanation:
Find the equation using slope-intercept form.
y = -2/3x + 2