Answer:

Step-by-step explanation:
We have been given an image of a line segment and we are asked to find the equation of perpendicular bisector of our given line segment in slope-intercept form.
Since we know that the slope of perpendicular line to a given line is negative reciprocal of the slope of the given line.
Let us find the slope of our given line using slope formula.
, where,
= Difference between two y-coordinates,
= Difference between two x-coordinates of same y-coordinates.
Upon substituting the coordinates of points (2,4) and (4,-2) in slope formula we will get,



Now we will find negative reciprocal of
to get the slope of perpendicular line.

Since point (3,1) lies on the perpendicular line, so we will substitute coordinates of point (3,1) in slope-intercept form of equation
.




Therefore, the equation of perpendicular line will be
and option A is the correct choice.
Answer:
x= 6
Step-by-step explanation:
12+3x=30
3x+12=30
3x+12-12=30-12
3x=30-12
3x=18
3x divided by 3 = 18 divided by 3
x=18 over 3
18 divided by 3 is 6
x=6
Answer:
a) P(2)=0.270
b) P(X>3)=0.605
c) P=0.410
Step-by-step explanation:
We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

a) In this case: 

Therefore, the probability is P(2)=0.270.
b) In this case: 

Therefore, the probability is P(X>3)=0.605.
c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.
In this case: 

Therefore, the probability is P=0.410.
Answer:
Step-by-step explanation:
First you need to find the area then divide that by 14