To find the Chebyshev's inequality, P | Xn - E(X)| <= δ/4 >= 1 - (δ^2/25)/(δ^2/16) = 1 - (16/25) = 9/25 = 0.36
The answer in this question which is the probability that the average of the physicist's measurement is within δ/4 units of the actual specific gravity is at least 0.36%
Answer:
Height of the pyramid = 3v/y² units
Step-by-step explanation:
We are given;
- The volume of a solid right pyramid with a square base = v units³
- The length of the base edge = y units
The formula for volume of a pyramid is given as;
V = ⅓ x base area x height.
Since the base is square, we will use the formula for square area which is A = side × side.
Thus, v = ⅓ × (y × y) × height
Making height the subject, we have;
Height = 3v/y²
height of the pyramid would be given by the expression 3v/y² units
1h 35min + 1h 35min = 3h 10min
Answer:
x = 17
Step-by-step explanation:
∠ DCE = ∠ ACE ( vertically opposite angles )
The sum of the 3 angles in a triangle = 180° , then
∠ DCE = 180° - (100 +x) = 180 - 100 - x = 80 - x
∠ ACE = 180 - (49 + 4x) = 180 - 49 - 4x = 131 - 4x
Equating the 2 angles
80 - x = 131 - 4x ( add 4x to both sides )
80 + 3x = 131 ( subtract 80 from both sides )
3x = 51 ( divide both sides by 3 )
x = 17
A quadratic graph. It makes an upside down U shape
