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Brums
7 days ago
6

Here is the five-number summary for a group of 100 runners in a 5-kilometer race. the variable is the time to complete the race.

five-number summary: minimum: 15 minutes q1: 27 minutes median: 31 minutes q3: 32 minutes maximum: 50 minutes are there any outliers in the runners’ finish times by the 1.5 * iqr definition?
Mathematics
1 answer:
Inessa [8.9K]7 days ago
3 0
To find the IQR (Interquartile Range) from the given information: Minimum = 15 min, Q1 = 27 min (25th percentile), Q2 = 31 min (median), Q3 = 32 min (75th percentile), Maximum = 50 min. The IQR calculation is IQR = Q3 - Q1 = 32 - 27 = 5. For identifying outliers, apply the k = 1.5 rule. The expected range is [Q1 - 1.5*IQR, Q3 + 1.5*IQR] = [27 - 1.5*5, 32 + 1.5*5] = [19.5, 39.5]. The actual range is [15, 50]. The minimum value is below 19.5, and the maximum value exceeds 39.5. Hence, outliers are present. Conclusion: Outliers exist.
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Compute the product of 645.99 and 0.125, and round to the nearest tenth
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This picture of a wall hanging is made of congruent 30° − 60° − 90° triangles with height 6 cm and hypotenuse 12 cm. What is the
Svet_ta [9481]

Answer:

28.4 cm

Step-by-step explanation:

The perimeter of the triangular wall is determined by adding all sides of the right triangle.

The triangle's height is given as 6 cm.

The hypotenuse measures 12 cm.

Using the Pythagorean theorem to find the third side:

Hypotenuse² = opposite² + adjacent²

Assigning the height as opposite = 6 cm, we find:

12² = 6² + adj²

Thus, adj² = 12² - 6²

Which gives us adj² = 144 - 36

So, adj² = 108

Leading to adj = √108

Thus, adj = 10.39 cm

The perimeter totals = 6 cm + 12 cm + 10.39 cm

= 28.39 cm

= 28.4 cm when rounded to the nearest tenth.

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29 days ago
If LN=54 and LM=31, find MN
zzz [9058]
Since there is no accompanying figure, we assume points L, M, and N lie on the same line, with point L between M and N.

The total length of segment MN equals the sum of segments LN and LM, expressed as:
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ANSWER: MN = 85
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1 month ago
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Noel Devine bought a new dishwasher for $320. He paid 20 down and made 10 monthly payments of $34 what actual yearly interest ra
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QUESTÃO DE PL (PROGRAMAÇÃO LINEAR):
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This question is not presented in English, making it difficult for people to understand.
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