Answer:
0.1961
Step-by-step explanation:
Since these two probabilities are independent of each other, we can simply multiply them.
The probability that a voter will support the Democratic candidate for governor is 0.53.
The probability that a voter will support the Democratic candidate for attorney general is 0.37.
This makes the probability that a voter supports both Democratic candidates 0.53(0.37) = 0.1961.
Answer:
C
Step-by-step explanation:

The numbers of choices in each category are multiplied together. We assume the order of paint choices matters: using color 1 in area A and color 2 in area B is not the same as using color 2 in area A and color 1 in area B.
P(7,2)*4*3*2 = 42*4*3*2 = 1008 ways
_____
P(n, k) = n!/(n-k)!
P(7, 2) = 7*6 = 42
Answer:
135.5
Step-by-step explanation:
192-56.5= 135.5
Answer:
16.51
Step-by-step explanation:
In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.
The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:
39 + 39 + x + x = 360
78 + 2x = 360
2x = 282
x = 141
This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.
Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

Thus the shorter diagonal will be 16.51 feet in measure.