1.The Springfield Meteorological Center wanted to determine the accuracy of their weather forecasts. They
searched their records for those days when the forecaster had reported a 70% chance of rain. They
compared these forecasts to records of whether or not it actually rained on those particular days. The
forecast of 70% chance of rain can be considered very accurate if it rained on:
A. 95% to 100% of those days.
B. 85% to 94% of those days.
C. 75% to 84% of those days.
D. 65% to 74% of those days.
E
55% to 64% of those days.

Answers

Answer 1
Answer:

Answer:

The correct option is;

D. 65% to 74%

Step-by-step explanation:

The accuracy of a forecast given based on a percentage or proportion or likelihood is determined by the based on the prevalence of the forecast in a similar proportion over the range of data points in which the forecast is made

Therefore, if it actually rained on 70% of those days for which the forecast was made, the forecast can be said to be very accurate.

Which is to say that the forecast of 70% chance of rain can be considered very accurate if it rained on 65 to 74% of those days which is in the range of the forecasted 70%.

Answer 2
Answer:

Final answer:

A weather forecast predicting a 70% chance of rain is considered 'very accurate' if rain actually occurs in 65-74% of such predictions, close to the original forecast percentage. Therefore, option D is correct.

Explanation:

In the realm of statistical analysis, a weather forecast predicting a 70% chance of rain can be deemed 'very accurate' if the percentage of times it actually rains approximates 70%. If it rains more or less than this, it implies that the forecast was either overestimating or underestimating the likelihood of rain.

Thus, out of the available options, the closest one to 70% is option D. 65% to 74% of those days. Therefore, if it rained on 65-74% of the days when the Springfield Meteorological Center predicted a 70% chance of rain, their forecast can be considered very accurate.

Learn more about Weather Forecast Accuracy here:

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Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Which of the following piecewise functions represents charges based on Andrew's cell phone plan?

Answers

Answer:

f(x)=\left\{\begin{array}{l}19,\ \ x\le 300\n \n19+0.39(x-300),\ \ x>300\end{array}\right.

Step-by-step explanation:

Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute.

Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan.

If x\le 300, then f(x)=19.

If x>300, then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore

f(x)=19+0.39(x-300).

Hence,

f(x)=\left\{\begin{array}{l}19,\ \ x\le 300\n \n19+0.39(x-300),\ \ x>300\end{array}\right.

Answer:

         19, x≤ 300

         19+.39(x-300),  x>300

Step-by-step explanation:

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