Answer:
1/3
Step-by-step explanation:
slope is just change in y over change in x
on a graph this can be found by counting the change in units
look at the point at (-3,0)
find the change in y by starting at that point and counting up or down until you reach another point.
the next point (-4,-3) is three units down (change of -3)
now go back to the first point and count left or right until you reach the other point to get change of x
the other point is one unit left (change of -1)
change of y over change of x = -1/-3=1/3
y=x+14 line 1
y=3x+2 line 2
These are both the equation of lines written in slope intercept form
y=mx+b where m is the slope and the point (0,b) is the y intercept.
The first line has a slope of m=1. The 2nd line has a slope of m=3
Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.
We already have y solved in terms of x from either equation so we can use substitution to solve the system.
Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.
x+14=3x+2
solve for x.
Subtract x from both sides...
14= 3x-x+2
14=2x+2
subtract 2 from both sides
14-2=2x
12=2x
divide both sides by 2
6=x
We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.
y=6+14
y=20
These two lines cross at the point (6,20) which is a point the two lines have in common.
Hope I helped (SharkieOwO)
Answer:
0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million
Step-by-step explanation:
We are given the following information in the question:
Mean, μ =$3.26 million
Standard Deviation, σ = $1.2 million 100
We assume that the distribution of salaries is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(mean salary of the 100 players was less than $3.0 million)
Calculating the value from the standard normal table we have,
0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million
just a plain vanilla substitution
No they do not sorry that I wasn't very quick<span />