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N76 [4]
2 years ago
11

Alex records the running time—the number of minutes a movie lasts from start to finish—of 50 popular movies. The distribution of

times, in minutes, is shown in the histogram below. Which of these intervals contains the most movies? 80–90 minutes 90–100 minutes 100–110 minutes 110–120 minutes

Mathematics
1 answer:
White raven [17]2 years ago
5 0

Answer:

Check Explanation

The histogram for the question isn't attached. But from the options provided for this question (80–90 minutes 90–100 minutes 100–110 minutes 110–120 minutes), it is evident that the bars and intervals for the question have the same width. So, the interval with the most movies will be the interval whose bar is the tallest.

Pick the interval whos bar has the highest height.

Step-by-step explanation:

The histogram for this question is missing. I couldnt get the histogram online, so, I will use a random histogram example to explain how to pick the interval with the highest frequency.

A histogram is a chart representation that uses bars to describe numerical data. It divides the entire distribution into Intervals and the number of variables in each interval (the frequency) corresponds to the area of each bar. This is the major difference between a bar chart and a histogram; the bars can be unequal for a histogram unlike that of bar charts.

If the bars are of equal widths, then the frequency of each interval is simply the height of the interval's bar.

In the attached histogram example for this question, the histogram shows the monthly salaries of workers and the frequency of workers receiving whichever salary. The intervals for these salaries for this histograms are in steps of $25. The bars start from $800 to $825, $825 to $850 and so on.

Since all the intervals have the same width, the interval with the most workers receiving the salary in that interval is the $900 to $925 interval with the tallest bar with frequency of 150.

If the bars weren't of the same width, the area of each bar is computed and the bar with the highest area has the highest frequency.

From the options provided for the question asked (80–90 minutes 90–100 minutes 100–110 minutes 110–120 minutes), it is evident that the bars and intervals for the question have the same width. So, the interval with the most movies will be the interval whose bar is the tallest.

Hope this Helps!!!

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All numbers greater than or equal to -3.

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Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. C
denis23 [38]

Answer:

i) 60°

ii) 14.7 cm

Step-by-step explanation:

length of Arc BA = 8.4 cm

length of radius = 8 cm

angle AOC = 45°

BO = AO = CO = 8 cm

<u>i) What is the measure of Angle BOA </u>

= length of Arc BA  / Radius

= 8.4 / 8  = 1.05 radians = 60.16° ≈ 60°

<u>ii) what is the length of arc BAC</u>

= radius * angle BAC  * \pi /180

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Given:

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To prove:

Algebraically that the recurring decimal 0.47\overline{2} can be written as \dfrac{17}{36}.

Proof:

Let,

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x=0.472222...

Multiply both sides by 100.

100x=47.2222...     ...(i)

Multiply both sides by 10.

1000x=472.2222...        ...(ii)

Subtract (i) from (ii).

1000x-100x=472.2222...-47.2222...

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Divide both sides by 900.

x=\dfrac{425}{900}

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So, 0.47\overline{2}=\dfrac{17}{36}.

Hence proved.

8 0
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