Please help me out please
1 answer:
Answer:
400 units³
Step-by-step explanation:
The volume (V) of the square pyramid is
V = area of base × height (h)
where h is the perpendicular height.
Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )
Using Pythagoras' identity on the right triangle
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h = = 12
Area of square base = 10² = 100, hence
V = × 100 × 12 = 4 × 100 = 400
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Answer:
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Step-by-step explanation:
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Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to the nearest tenth, if necessary
Answer: Two events (event X and event Y) are said to be independent if the probability of event X occurring does not affect the probability of event Y occurring and vice versa. If the probability of X = P(X) and the probability of Y = P(Y), therefore P(X and Y) = P(X) × P(Y).
Given that P(Y) = 5/6 and P(X and Y) = 1/3. Therefore:
P(X and Y) = P(X) × P(Y)
Making P(X) the subject of formula by dividing through by P(Y) gives: