Write a rule to describe the transformation. A. Rotation 90º clockwise about the origin B. Rotation 180º about the origin C. Rot

Answer:

Refer to the explanation below

Step-by-step explanation:

The graph can represent a relay race scenario.

Jamie describes a situation that corresponds to the piecewise function illustrated in the graph.

On the graph, the x-axis denotes time in minutes, while the y-axis shows distance in miles.

The initial segment of the graph is a line that extends from the origin to the point (12, 1), with the second segment going from (12, 1) to (20, 2).

1. A runner starts the race and maintains a consistent speed for 1 minute.

• This statement is erroneous as it identifies the incorrect axis.

It should state: a runner initiates the race and runs consistently for 12 minutes, covering 1 mile.

The equation for this segment:

• y = mx + b
• b = 0 since it originates from the starting point.
• m = 1/12
• y = 1/12x
• x = [0, 12], y = [0, 1]

2. Then, his partner takes over and runs faster at a steady pace for another 1 minute.

• Once again, as mentioned earlier, this misrepresents the axis.

It should say: his partner then continues and runs at a constant, quicker pace for an additional 8 minutes, finishing the final mile of the race.

The equation for this segment:

• b = 1, serving as the initial point
• m = (2-1)/(20-12) = 1/8
• y = 1/8x + 1
• x = (12, 20], y = (1, 2]

Answer:

zero slope

Step-by-step explanation:

Hope this information is helpful:)

Answer: The hourly charge for the rototiller is $3.

Step-by-step explanation:

Let h denote the hourly rate for the rototiller rental.

The rental provider imposed a base fee of $43 in addition to a charge per hour. Assuming the rototiller was rented for x hours, the cost incurred would total

43 + hx.

If they paid $64 for 7 hours of rental, the equation representing this situation would be

43 + 7h = 64.

Resolving gives us 7h = 64 - 43 = 21.

Therefore, h = 21/7 = $3.

Answer:

A Type I error could occur if the test shows that the proportion is above 90%, while in reality, the actual proportion is 90%.

Step-by-step explanation:

Machines in a factory produce circular washers that meet a specific diameter.

The quality control manager routinely assesses samples of washers to ensure that more than 90% conform to the specified diameter.

Let p represent the proportion of washers that meet the specified diameter

Thus, Null hypothesis: p = 90%

Alternative Hypothesis: p > 90%

Now, a Type I error indicates the probability of rejecting the null hypothesis while it is actually true or, in simple terms, the likelihood of incorrectly rejecting a valid hypothesis.

Thus, based on our question, a Type I error would declare that the test convincingly indicates the proportion is over 90%, while in truth, it remains 90%.