Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

Substitute x = 1 and y = 6 into equation,

Therefore substituting m and c value, equation of line is

Answer:
E (Y) = 3
Step-by-step explanation:
If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)
The probability of odd number roll will be, p(T) = 
However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) = 
In order to calculate: E (Y); We can say Y to be the number of times you roll.
We know that;
E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)
Let us calculate E ( Y|T ) and E ( Y|U )
Y|T ≅ geometric = 
Y|U ≅ geometric = 
also; x ≅ geometric (p)
∴ E (x) =
⇒
= 4 ; also
= 2
E (Y) = 4 ×
+ 2 ×
= 2+1
E (Y) = 3
I’m having a hard time understanding your question
Answer:
circle question: 69.66
the other question: 66.8
Step-by-step explanation:
For the circle question:
the circle is inscribed in the square, so the diameter of the circle = side of the square
so we need to find the area of square and circle
then do this
square area - circle area
square area(side×side) = 324
circle area(pi×r^2)≈254.469
so shaded region = 69.66
__________
the other question:
we need to find the area of triangle and the area of the rectangle and add them together
A of Triangle (1/2×base×hight) = 34.32
A of rectangle (width × length) = 31.92
add them, so the answer will be = 66.8