Width of 76 inches and length of 3
or width of 77 and length of 2
or width of 78 and length of 1
they all have a perminiter of 158 and all widths exceed 75
You would get x by itself first and go from there.
The volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3
<h3>How to determine the volume </h3>
Using the formula:
Volume = 3abh
Where a = apothem length
b = length of the side of the base
h =height of the prism
Substitute values from the diagram into the formula
Volume = 3 × 5 × 4.3 × 2
Volume = 129 in^3
Volume of the remaining cake
Volume = 3abh
Volume = 3× 5.2 × 4 × 6
Volume = 374. 4 in^3
Thus, the volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3
Learn about volume of a hexagonal prism here:
brainly.com/question/9647193
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Answer:
The probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.
Step-by-step explanation:
Let us suppose that,
R = Republicans
D = Democrats
I = Independents.
X = a member favors some type of corporate tax reform.
The information provided is:
P (R) = 0.27
P (D) = 0.56
P (I) = 0.17
P (X|R) = 0.34
P (X|D) = 0.41
P (X|I) = 0.25.
Compute the probability that a randomly selected member favors some type of corporate tax reform as follows:

The probability that a randomly selected member favors some type of corporate tax reform is P (X) = 0.3639.
Compute the probability Democrat is selected given that this member favors some type of corporate tax reform as follows:

Thus, the probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.
So, we will start by subtracting the orange cats
5-2=3 orange cats left
Then the black cats
14-6=8
Now we will add them back together:
8+3=11 Cats remaining