Answer:
TX: 0.23
LA: 0.24
MS: 0.03
AL: 0.03
FL: 0.47
Step-by-step explanation:
In the figure attached, the map is shown.
Total length of the shoreline: 367 + 397 + 44 + 53 + 770 = 1631 miles
probability of the ship landing in Texas: 367/1631 = 0.23
probability of the ship landing in Louisiana: 397/1631 = 0.24
probability of the ship landing in Mississippi: 44/1631 = 0.03
probability of the ship landing in Alabama: 53/1631 = 0.03
probability of the ship landing in Florida: 770/1631 = 0.47
Answer:
see attached
Step-by-step explanation:
In the attached, the feasible region is white, and all excluded regions are shaded. When there are so many inequalities, it is easier to see the solution (feasible region) this way. The boundary lines are dashed because they are not excluded. That is, each boundary line is part of the feasible region.
The vertices of the feasible region are shown to aid in any optimization you might want to do. We have shown the values that would apply if there were a constraint y ≥ 0, which is not on your list. (We assume pounds of Brussels sprouts will not be negative.)
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If you actually do the shading required by the problem statement, you will be shading on the opposite side of each of the lines shown, and you would draw the lines as solid.
Answer:
Domain → (-∞, -1)∪(-1, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Given function is,
This function is not defined when the denominator is zero.
2x + 2 = 0
2x = -2
x = -1
Therefore, x = -1 is not in the domain of this function.
And the domain will be,
(-∞, -1)∪(-1, ∞)
For all values of x (except x = -1) we get some output values (value of ).
Therefore, range of the function will be (-∞, ∞).