The algorithm below simulates rolling a regular 6-sided die twice. Consider the goal of determining if the sum of the values of the two rolls is odd or even. Step 1: Using a random number generator, get a value between1 - 6 inclusivelyStep 2: Remember that numberStep 3: Repeat steps 1 and 2Step 4: Add the two remembered numbers togetherStep 5: Multiply that sum by 10Step 6: Divide the result of that multiplication by 2What conclusions can be made with regard to what we are trying to determine? Select two answers:Group of answer choicesIf the value found in step 6 is 10, 20, 30, 40, 50 or 60 then the sum is evenIf the last digit of the value found in step 6 is 5, then the sum is oddIf the value found in step 6 is 10, 30 or 50 then the sum is oddIf the value found in step 6 is not 20, 40, 60, 80, 100 or 120 then the sum is odd

Answer:     the interval on which the curve is concave up is  (-∞, -1/2)======    we find the interval where this curve is concave up by finding the interval in which the 2nd derivative is positive.differentiate the curve equation with respect to x    let the function f denote be the anti-derivative of the inside expression, i.e. a function such that .then use the fundamental theorem of calculus:     differentiate again to get second derivative. we can use chain rule with 1/x as the outside function and 1 + x + x² as the inside function    find critical numbers of the second derivative. these numbers are where the 2nd deriv. is undefined or zero.where the 2nd derivative is zero: set (d²y/dx²) to equal 0 and solve for x    where the 2nd derivative is undefined: if the denominator is equal to zero, the derivative will be undefeined. attempting to solve the equation    1 + x + x² = 0results in a discriminant of      meaning that the equal 1 + x + x² = 0 has no real solutions and therefore will never equal zero.======our only critical number is x = -1/2.this forms two intervals to test the sign for: (-∞, -1/2) and (-1/2, ∞)test values into the 2nd derivative for (-∞, -1/2)if we try x = -1, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the curve is concave up on (-∞, -1/2)test values into the 2nd derivative for (-1/2, ∞)if we try x = 0, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the  curve is concave down on (-∞, -1/2).the interval on which the curve is concave up is  (-∞, -1/2)

Ithink the answer is d