<span>The graph will shift 5 units to the right and 1 unit upwards, forming a parabola that opens up with its vertex positioned at (5, 1).
Explanation:
The subtraction of 5 from x prior to squaring indicates a horizontal movement of 5 units to the right.
The addition of 1 signifies a vertical shift of 1 unit up.
This transformation follows the vertex form of a parabola, y=a(x-h)^2 + k, where (h, k) represents the vertex. In this case, h is 5 and k is 1, placing the vertex at (5, 1).</span>
A minimum sample size of 75 is necessary. Step-by-step explanation: We need to determine our level, which is calculated by subtracting 1 from the confidence interval divided by 2. Now, we need to find the z value in the Z table that corresponds to a p-value of [Z value]. Therefore, it is the z value with a p-value of [specific value]. Next, we calculate the margin of error M, where [insert equation], with [standard deviation] representing the population standard deviation and n as the sample size. The standard deviation equals the square root of the variance. With a 0.95 probability level, if the margin of error desired is 5 or below, a sample size of at least 75 is required.
Answer:
Step-by-step explanation:
Initial Charge = $ 65
Hourly Rate = $ 28
Hours Worked = H
Cost for H hours = 28 * H = 28H
Inequality:
65 + 28H ≤ 250
