Answer:
The joint probability distribution of X and Y is shown below.
Step-by-step explanation:
The distributions of X and of Y are described as follows:
X : 0 1
P (X) : 0.23 0.77
Y : 1 2 3
P (Y) : 0.40 0.22 0.38
It is provided that X and Y are independent.
That is:
P (X ∩ Y) = P (X) × P (Y)
Compute the joint probability distribution of X and Y as follows:
X 0 1
<u>Y </u>
1 0.9200 0.3080
2 0.0506 0.1694
3 0.0874 0.2926
Answer:
To find f-¹(x) of f(x) equate f(x) to y
That's
f(x) = y
So we have
Next interchange the variables that's x becomes y and y becomes x
That's
Next make y the subject
Cross multiply
We have
4y - 7 = 10x
Move -7 to the right side of the equation
4y = 10x + 7
Divide both sides by 4
We have the final answer as
So
Hope this helps you
100% = 70
1% = .7 (divide by 100)
12% = 8.4 (Multiply 1% by 12)
70 - 8.4 = 61.6 (New Price)
Hope this helped! Got any questions just ask!
Answer:
Equation of midsegment line: y = (-1/4)x + 2.
Step-by-step explanation:
If the parallel sides of a trapezoid are contained by the lines:-
y = (-1/4)x +5 and y = (-1/4)x - 1
Midsegment of any trapezoid is the line segment
1. that is parallel to pair of parallel side of trapezoid and
2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.
It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.
So y = mx + b
where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.
Hence, the equation of midsegment would be y = (-1/4)x + 2.
x ≤ 3
Step-by-step explanation:
4x ≤ 12
divide each side by 4
x ≤ 3
