Answer:
The equation of the line in slope-intercept form is:
Step-by-step explanation:
Given the points
Finding the slope




We know the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept
substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept



now substituting m = -10/7 and b = -45/7 in the slope-intercept form



Thus, the equation of the line in slope-intercept form is:
To achieve balance, the momentum on both sides must be
equal so that it cancels out. Momentum is simply the product of mass and
distance, therefore:
50 pounds * 6 ft = 100 pounds * X
X = 3 ft
Hence B must be placed 3 ft from the pivot.
Answer:C
Step-by-step explanation:
81^½÷3^-1=√81÷(1/3)
=9÷3=3
Answer:
0.78
Step-by-step explanation:
We have the next probability distribution:
X P(X)
0 0.2
1 0.3
2 0.5
As we can see when we add all the probabilites the result is 1. Now calculating the mean we have:

The standard deviation is:

Then using the data that we have:

Then the standard deviation is 0.78
Answer:
B
Step-by-step explanation: