b. Event A is dependent on Event B.
c. Event B is dependent on Event A.
d. Events A and B are dependent on each other.
e. It is not possible to determine if the events are independent.
The true statement is that the (a) Event A is not dependent on Event B.
The equations are given as:
P(A | B) = 0.4
P(A) = 0.4
Two events A and B are independent if the following equations are true
P(A and B) = P(A) * P(B)
P(A | B) = P(A)
From the question, we have:
P(A | B) = P(A) = 0.4
This means that events A and B are not dependent
Hence, the true statement is (A)
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The problem involves finding the sides of a triangle given the perimeter and conditions for each side. After setting up an equation based on the conditions and solving for x, which is assumed to be the shortest side, the sides of the triangle are found to be 39 feet, 78 feet, and 67 feet.
This is a mathematical problem involving triangles and perimeter. The perimeter of a triangle is the sum of all of its sides. In your case, if we assume the shortest side to be x feet, then the other two sides, according to the question, are 2x feet and x+28 feet. Since the perimeter is 184 feet, these can be added together and set equal to 184, as such:
x + 2x + (x+28) = 184.
Add together like terms:
4x + 28 = 184.
Subtract 28 from both sides:
4x = 156.
Divide both sides by 4:
x = 39 feet.
Therefore, the sides of the triangle are 39 feet, 78 feet (2 * 39), and 67 feet (39 + 28).
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The solution for the given expression will be 10√6.
In mathematics, an expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. It represents a mathematical computation or relationship.
An expression can consist of constants, variables, and operators. Constants are fixed numerical values, like 5 or 3.14. Variables, on the other hand, are symbols that represent unknown or changing values, such as x or y.
To solve this problem you use the property:
√ab = (√a)(√b)
The expression will be solved as below,
√600 = (√6)(√100) = √6(10) = 10√6
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3.962%
39.62%
2.52%
25.2%