The risk of down syndrome, in terms of the percentage of births per year, is changing at a rate given by the equation r(x) = 0.004641x² - 0.3012x + 4.9 for the range 20 ≤ x ≤ 45, where x signifies the maternal age at delivery. To derive the risk function as a percentage of births relative to maternal age x, we integrate r(x), leading to the function f(x) = 0.001547x³ - 0.1506x² + 4.9x + c. When x is 30, f evaluates to 0.14%. This means that 0.001547(30³) - 0.1506(30²) + 4.9(30) + c equals 0.14. Solving gives 41.769 - 135.54 + 147 + c = 0.14, which simplifies to c = -53.089. As a result, we establish that f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089 for 20 ≤ x ≤ 45. The graph corresponding to this function is illustrated below.
The range consists of negative values. The interval for the range is. It may be beneficial to review your functions as there seems to be no available choice that aligns with this outcome. Step-by-step explanation: Given functions, we need to determine the range of. As I evaluate the domain as well to see if it alters the range. For the function, we need to avoid division by zero, meaning that the domain excludes zero. Consequently, the domain encompasses all real numbers except zero. Overall, the final conclusion remains that the range is solely negative numbers.
The expected loss is $1.83. Step-by-step explanation: The average value for each ticket is calculated as... ($100 + 5($20)) / 1200 = $200 / 1200 ≈ $0.1667 ≈ $0.17. Since purchasing a ticket costs $2.00, your anticipated value becomes... -$2.00 + 0.17 = -$1.83, leading to a loss of $1.83.
The expression for calculating a percentage is whatever% of anything is simply (whatever/100) * anything.
The total 800 + 1250 + 120 + 625 + 65 equals 2860.
Rhonda does not earn a commission on the first 2000, only on the excess amount, which is 860.
Calculating 15% of 860 involves (15/100) * 860.
