Expected value equals sum of the product of each value and its possibility.
a.
1/2×75%+1/4×25%=0.4375
the expected value of grass growth for the day is 0.4375
b.
0.4375×31=13.5625
the expected value of grass growth for the month of july is 13.5625
The vertices of the original quadrilateral can be written in matrix form using the vertex matrix. The vertex matrix is
To find the coordinates of the endpoints or vertices of the image of the given coordinate points reflected about the y-axis, we just need to multiply the transformation matrix by the vertex matrix. The transformation matrix for this particular problem is
Multiplying the two matrices, we have
Therefore, the coordinates of the endpoints or vertices of the image are
(5,4), (1,-1), (3, -6) and (7, -3).
Answer:
The longer leg is opposite the 60, so to get the shorter leg you have to divide by \sqrt{3}
18 / \sqrt{3} = 6 \sqrt{3}
The snail moved 108 inches
108/36=3 yards
as 1 yard=36 in