A portion of the Quadratic Formula proof is shown. Fill in the missing reason. Statements Reasons ax2 + bx + c = 0 Given ax2 + b
x = -c Subtract c from both sides of the equation b LC a Divide both sides of the equation by a a b b с b b (x²+x+ Complete the square and add to both sides 2a a 2a 2a С b? b x2 Square on the right side of the equation a + a 2a 2a 4a? 4ac b2 + a Find a common denominator on the right side of the equation 2a 4a2 + 4a2 0 x2 + x + -4ac 4a Add the fractions together on the right side of the equation a 2a b? - 4ac b 2a 4a Rewrite the perfect square trinomial as a binomial squared on the left side of the equation Take the square root of both sides of the equation Multiply both sides of the equation by 2 Square the left side of the equation Question 1 Answered
1 answer:
Step-by-step explanation:
A portion of the Quadratic Formula proof is shown. Fill in the missing reason. Statements Reasons ax2 + bx + c = 0 Given ax2 + bx = -c Subtract c from both sides of the equation b LC a Divide both sides of the equation by a a b b с b b (x²+x+ Complete the square and add to both sides 2a a 2a 2a С b? b x2 Square on the right side of the equation a + a 2a 2a 4a? 4ac b2 + a Find a common denominator on the right side of the equation 2a 4a2 + 4a2 0 x2 + x + -4ac 4a Add the fractions together on the right side of the equation a 2a b? - 4ac b 2a 4a Rewrite the perfect square trinomial as a binomial squared on the left side of the equation Take the square root of both sides of the equation Multiply both sides of the equation by 2 Square the left side of the equation .
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The height of squared pyramid is unit.
A cube is a solid three-dimensional object with six square faces or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.
Volume of cube
Given the height of cube is unit.
Volume of cube is
Let the height of squared pyramid is unit
Volume of squared pyramid is
According to the question, we have
Volume of cube = volume of squared pyramid
Therefore, the height of squared pyramid is unit.
To learn more about squared pyramid from the given link
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Answer:
Now we can calculate the second moment with the following formula:
And replacing we got:
And the variance is given by:
And replacing we got:
And the standard deviation is just the square root of the variance:
Step-by-step explanation:
Previous concepts
For this case we define the random variable X =" how many children the couple will have" and we know the following distribution:
X 1 2 3
P(X) 0.52 0.250 0.230
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
For this case we can find the expected value with the following formula:
And replacing we got:
Now we can calculate the second moment with the following formula:
And replacing we got:
And the variance is given by:
And replacing we got:
And the standard deviation is just the square root of the variance: