Given that the sequence goes odd, even, odd, and even , there is an equal chance of drawing an odd (<span>not divisible by 2) number as there is for drawing an even number, so the correct option is C.
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A function and its inverse, when graphed, exhibit symmetry about the line y = x. Without viewing your graphs, I can't specify if g or h is the inverse. Identify the function that reflects f over the diagonal line y = x, which passes through the origin.
<span> The absolute value function exhibits symmetry. Given that the coordinates (–6, –2) and (0, –2) produce the same output, the points are equidistant from the line of symmetry. The value of –3 exists between –6 and 0. Therefore, the x-coordinate of the vertex must be –3, which is the value of </span>h<span>. This indicates that the graph of the parent function shifts 3 units to the left.</span>
It takes 5.22 hours to install carpet in a room. Step-by-step explanation: To start, let's explore the relationship among yards, feet, and inches. 1. 1 yard = 3 feet. 2. 1 foot = 12 inches. 3. Therefore, 1 yard = 36 inches. Now, let's convert all measurements to inches. ∵ 1 yard = 36 inches ∴ 1 yard² = (36)² inches². - Fine Floors can outfit 15 square yards of carpeting in 4 hours and 30 minutes. ∵ 15 yard² equals 15 × (36)² inches², so 15 yards² = 19440 inches². ∵ 1 hour equals 60 minutes, thus 30 minutes = 0.5 hours. Consequently, 4 hours and 30 minutes = 4.5 hours, implying Fine Floors covers 19440 inches² in 4.5 hours. The dimensions of the room are 11 feet 9 inches by 13 feet 4 inches. ∵ 1 foot = 12 inches, therefore, 11 feet 9 inches = 11 × 12 + 9 = 141 inches, and 13 feet 4 inches = 13 × 12 + 4 = 160 inches. Hence, the room’s area is 141 × 160 = 22560 inches². Using the ratio method, we have area of carpeting (in²): time of carpeting (hr) hence, 19440: 4.5 = 22560: h. By cross-multiplying, 19440h = 4.5 × 22560 yields 19440h = 101520. Dividing both sides by 19440 results in h = 5.22 hrs.
