# Reverse Pythagorean theorem

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- Salami

We have six kinds of salami that have ten pieces and one kind of salami that has four pieces. How many ways can we distinctly choose five pieces of salami? - Triangles

Find out whether the given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3' - Z-score

The mean adult male pulse rate is 67.3 beats per minute, with a standard deviation of 10.3. Find the z-score for an adult male's pulse rate of 75. (Round the z-score to two decimal places. ) - Standard deviation

Find the standard deviation for the dataset (grouped data): Age (years); No. Of Persons 0-10 ; 15 10-20 ; 15 20-30 ; 23 30-40 ; 22 40-50 ; 25 50-60 ; 10 60-70 ; 5 70-80 ; 10 - Thinking 4586

I'm thinking of a number that doesn't belong to the group. Please find it, justify the choice, and divide it by 9. 36,54,56,80,72,64,42,18,24,32,90,48,28,99. - Coefficient 4872

Find out if the triangles ABC and A'B'C' are similar, determine the similarity coefficient and write the similarity: a = 40 mm, b = 48 mm, c = 32 mm a´ = 60 mm, b´ = 50 mm, c´ = 40 mm - Plasticine ball

Plasticine balls have radius r_{1}=85 cm, r_{2}=60 mm, r_{3}=59 cm, r_{4}=86 cm, r_{5}=20 cm, r_{6}=76 mm, r_{7}=81 mm, r_{8}=25 mm, r_{9}=19 mm, r_{10}=14 cm. These balls are - Triangle

Calculate the triangle's heights ABC if the triangle's sides are a=82, b=44, and c=53. - The height 4

The height and radius of a cylinder are 25 ft and 5 ft, respectively. What is the surface area? - Std-deviation

Calculate standard deviation for file: 63,65,68,69,69,72,75,76,77,79,79,80,82,83,84,88,90 - Four prisms

Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t - Shooters

In the army, regiments are six shooters. The first shooter target hit with a probability of 49%, next with 75%, 41%, 20%, 34%, 63%. Calculate the probability of target hit when shooting all at once. - Students 34

Students were surveyed as part of a Statistics project to determine if younger adults are more likely to have tattoos. The results are listed in the two-way table below: age; At least one tattoo; No tattoo; Row totals Age 18 - 29; 165 ; 342; 507 Age 30 - - The heights

The heights of some dogs are shown in the table. (1 cm = 10 mm) Dog; Height Sam ; 280 mm Charlie; 56 cm Gus; 81,3 cm Buster; 635 mm Max; 38 cm Duke; 61 cm Which list shows the heights of the dogs from tallest to shortest? A. Max, Charlie, Duke, Gus, Sam, - Similar triangles

In the triangle DEF is DE = 21cm, EF = 14.7cm, DF = 28cm. The triangle D'E'F' is similar to the triangle DEF. Calculate the lengths of the sides of the triangle D'E'F' if the similarity coefficient is one-seventh. - The perimeter 6

The perimeter of the quadrilateral is 442.95 cm. The three known sides measure 84.56 cm,132.77 cm, and 82.75 cm. How long is the fourth side? - Center of gravity

The mass points are distributed in space as specified by coordinates and weight. Find the center of gravity of the mass points system: A_{1}[1; -20; 3] m_{1}= 46 kg A_{2}[-20; 2; 9] m_{2}= 81 kg A_{3}[9; -2; -1