Bob estimates that the height of a giraffe in a zoo was 18 feet in fact it is 16 feet tall what is bobs percentage air use proportional relationships to solve the problem. Be sure to show all your work, provide your answer as a percentage and round your answer to the nearest 10th.

3 answers

To find Bob's percentage error in estimating the height of the giraffe, we can use the following formula for percentage error:

\[ \text{Percentage Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{|\text{Actual Value}|} \right) \times 100 \]

Where:

  • Estimated Value = 18 feet
  • Actual Value = 16 feet

Now let's plug in the values into the formula:

  1. Calculate the absolute error (the difference) between the estimated value and the actual value:

\[ |\text{Estimated Value} - \text{Actual Value}| = |18 - 16| = 2 \text{ feet} \]

  1. Now divide the absolute error by the actual value:

\[ \frac{|\text{Estimated Value} - \text{Actual Value}|}{|\text{Actual Value}|} = \frac{2}{16} \]

  1. Now calculate this value:

\[ \frac{2}{16} = 0.125 \]

  1. Finally, multiply this result by 100 to convert it to a percentage:

\[ \text{Percentage Error} = 0.125 \times 100 = 12.5% \]

Therefore, Bob's percentage error in estimating the height of the giraffe is 12.5%.

ccording to the graph below, which moon phase do you predict will occur on December 15?



(2 points)
Responses

full moon
full moon

waning crescent
waning crescent

third quarter
third quarter

new moon
new moon
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To predict the moon phase on December 15, I would need to see the graph you mentioned, which presumably shows the moon phases over a specific period of time. However, since I cannot view images or graphs, I can guide you through the process for predicting moon phases based on a typical lunar calendar:

  1. Lunar Cycle: The lunar cycle lasts about 29.5 days from one new moon to the next. The main phases are:

    • New Moon
    • First Quarter
    • Full Moon
    • Last (Third) Quarter
  2. Identifying the Date:

    • If you know the date of a recent new moon or full moon, you can count forward to determine the phase on December 15.
    • For example, if the last full moon was on December 7, you would count forward. From the full moon on December 7, here's the breakdown:
      • About 7 days after the full moon (around December 14) would be in the waning gibbous phase.
      • From December 14 to December 15, the moon would still be in the waning gibbous or possibly transitioning to the third quarter.
  3. If you have reference points:

    • For accurate predictions, you would typically compare how many days past the last known new or full moon the date December 15 falls on.

Since I can't see the graph or specific moon cycle timeline you provided, I suggest counting from the last known significant phase leading up to December 15 to make your prediction.

If you'd like me to assist with general moon phase mathematics or concepts without the graph data, please provide any known details (like the last full moon date), and I'd be happy to help!