Answer:
y = 1/2 x + 3
Step-by-step explanation:
mid point of line BC = (2, 4)
slope of the line containing median (m) = 1/2
y intercept (b)= 3
since y = mx + b
y = 1/2x + 3
Answer:
The equation would be y = x - 1
Step-by-step explanation:
In order to find the equation of the line, we first can express the two sets of data as an ordered pair. The two ordered pairs would be (3, 2) and (9, 8). Now that we have these, we can use the slope formula to find the slope.
m (slope) = (y2 - y1)/(x2 - x1)
m = (8 - 2)/(9 - 3)
m = 6/6
m = 1
Now that we have the slope, we can use either point and point slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = 1(x - 3)
y - 2 = x - 3
y = x - 1
If u = ln(x^(1/3))
then by the chain rule
du = [1/x^(1/3)] * (1/3)x^(-2/3) dx = (1/3)(1/x) dx.
You could get there faster by noting that
ln(x^(1/3)) = (1/3) ln(x), so du = (1/3) dx/x
100%/x%=300/60(100/x)*x=(300/60)*x - we multiply both sides of the equation by x100=5*x - we divide both sides of the equation by (5) to get x100/5=x 20=x x=20
now we have: 60 is 20% of 300
Hope I helped!
~ Zoe
Answer:
a)
X | 1 3 5 7
f(X) | 0.4 0.2 0.2 0.2
b) 
Step-by-step explanation:
For this case we have defined the cumulative distribution function like this:
And we know that the general definition for the distribution function is given by:
Where f represent the density function.
Part a
For this case we need to find the density function, so we can find the values for the density for each value of X = 1,2,3,4,5,6,7,... since X is a discrete random variable.
And for any value higher than 7 we have that:
![x_i \in [8,9,10,...]](https://tex.z-dn.net/?f=%20x_i%20%5Cin%20%5B8%2C9%2C10%2C...%5D)
So then we have our density function defined like this:
X | 1 3 5 7
f(X) | 0.4 0.2 0.2 0.2
Part b
For this case we want to find this probability 
And since the random variable is discrete we can write this like that:
