Answer:
y - 1 = 
(x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = 
=
and using (a, b) = (3, 1 ) , then
y - 1 = (x - 3)
The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of moment-generating function of y is e-1/t
Given that,
The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.
The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)
The given interval is (0,1)
Here a =0;
b=1;
Now substitute the values of a and b in the above moment generating function we get,
y=eⁿᵇ - eⁿᵃ / n(b-a)
y=e^1-e^0/t(1-0)
y= e-1/t
Therefore, the derivation of the moment generating function is e-1/t
Learn more about moment-generating function here:
brainly.com/question/15061360
#SPJ4
Answer:
x=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6(x−1)=−2x+50
(6)(x)+(6)(−1)=−2x+50(Distribute)
6x+−6=−2x+50
6x−6=−2x+50
Step 2: Add 2x to both sides.
6x−6+2x=−2x+50+2x
8x−6=50
Step 3: Add 6 to both sides.
8x−6+6=50+6
8x=56
Step 4: Divide both sides by 8.
8x
/8
=
56
/8
x=7
Answer:
the mean is the sum of them all divided by the number of terms.
mean: 13
the mode is the element that occurs MOST in the data set.
mode: none
the median is the middle value of all of the numbers.
median: 9
Answer:
Point Q = (3.6, 1.4)
Step-by-step explanation:
The 4:1 ratio should first be changed to 4/5.
y2-y1= 2+1 = 3 which as a fraction is 3/1, now multiply that which the earlier fraction 4/5 to get 12/5 = 2.4
x2-x1= 4-2= 2 which as a fraction is 2/1, do the same as earlier, multiply by 4/5 to get 8/5 = 1.6
now add these to A to get point Q
2+1.6= 3.6
-1+2.4=1.4
Point Q = (3.6, 1.4)
