Answer: 0.317
Step-by-step explanation:
Let A be the event that the selected household is prosperous and B the event that it is educated.
Given : P(A)=0.138, P(B)=0.261
P(A and B)=0.082
We know that for any events M and N ,

Thus , 

Hence, the probability P(A or B) that the household selected is either prosperous or educated = 0.317
Answer:
t = 2secs
Step-by-step explanation:
Given the height above the surface expressed as h = -16t^2 + 64 t + 80.
The velocity of the rocket at its maximum height is zero. Hence;
v(t) = dy/dt = 0
dy/dt = -32t + 64
0 = -32t + 64
32t = 64
t = 64/32
t = 2secs
Hence the rocket will hit the lake after 2 secs
Answer:
27
Step-by-step explanation:
3^2(2^3+4)/2^2
3^2(8+4)/2^2
3^2(12)/2^2
9(12)/4
108/4
27
It would depend on what n was equal to
To find slope, we must find the change in y values divided by the change in x values, also called the rise/run. This is modeled below:
Slope = m = (y1 - y2)/(x1-x2) = (6-(-3))/(1 - (-6)) = (6+3)/(1+6) = 9/7
We can check that this answer is correct by consulting the graph. The graph shows a positive correlation (means that the slope should be positive), and if you count the graph unit squares, you get that the graph moves up 9 squares and over 7 squares between the two points shown, letting us know we got the right answer.
Hope this helps!