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Alexxandr [17]
2 years ago
8

Kenji packed an exercise ball into a cylindrical package. The inflatable exercise ball is made out of vinyl. How much vinyl was

used to make the exercise ball? Express your answer in terms of pi.
Mathematics
1 answer:
Fofino [41]2 years ago
8 0
An exercise ball, also known as a yoga ball, is a ball constructed of soft elastic with a diameter of approximately 35 to 85 centimeters (14 to 34 inches) and filled with air. The air pressure is changed by removing a valve stem and either filling with air or letting the ball deflate. It is most often used in physical therapy, athletic training and exercise. It can also be used for weight training. The ball, while often referred to as a Swiss ball, is also known by a number of different names, including balance ball, birth ball, body ball, ball, fitness ball, gym ball, gymnastic ball, physio ball, pilates ball, naval mine, Pezzi ball, stability ball, Swedish ball, or therapy ball.
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The following are the distances (in miles) to the nearest airport for 12 families. 6, 7, 8, 8, 16, 19, 23, 24, 26, 27, 34, 35 No
AveGali [126]

Using it's definitions, the five-number summary and the interquartile range for the data-set is given as follows:

  • Minimum: 6
  • Lower quartile: 8
  • Median: 21.
  • Upper quartile: 27
  • Maximum: 35
  • Interquartile range: 19

<h3>What are the median and the quartiles of a data-set?</h3>

  • The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
  • The first quartile is the median of the first half of the data-set.
  • The third quartile is the median of the second half of the data-set.
  • The interquartile range is the difference of the third quartile and the first quartile.

This data-set has 12 elements, which is an even number, hence the median is the mean of the 6th and 7th elements, as follows:

Me = (19 + 23)/2 = 21.

The first quartile is the median of 6, 7, 8, 8, 16, which is the third element of 8.

The third quartile is the median of 23, 24, 26, 27, 34, 35, which is of 27. Hence the interquartile range is of 27 - 8 = 19.

The minimum is the lowest value in the data-set, which is of 6, while the maximum is of 35, which is the largest value in the data-set.

More can be learned about the five-number summary and the interquartile range at brainly.com/question/3876456

#SPJ1

4 0
2 years ago
HELP FAST LOL HAHAHAH
OleMash [197]

Answer:

184

Step-by-step explanation:

First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.

4 0
3 years ago
A bicycle wheel makes five rotations. the bicycle travels 44.48 ft. Find the diameter of the wheel in inches.
Tema [17]

Answer:

2.42 feet

Step-by-step explanation:

the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588

 

Then we use the formula for the circumference of a circle: 2(pi)(radius) = circumference

 

We plug in what we know 2(3.14)(radius) = 7.588 and then solve for the radius

 

We divide 2 from both sides of the equation (3.14)(radius) = 3.794

 

We divide pi from both sides (radius) = 1.208

 

Then the last step, we multiply the radius by 2, because we need the diameter, which is double the radius

 

1.208 * 2 = 2.416 or 2.42 rounded up

 

Final answer = 2.42 feet

7 0
3 years ago
Read 2 more answers
The sum of two numbers is 70 and their difference is 24.Find the two numbers
xxMikexx [17]
The two answers are 23 and 47. You would subtract 24 from 70 then divide by 2 which would equal 23 then add the 24 back to it which is 47. 23 plus 47 equals 70.
7 0
3 years ago
What is the equation of the line that passes through the point (7,-3)
andrey2020 [161]

Answer:

Step-by-step explanation:

Im not sure dowload the app caculator online its free and it does ur homework

4 0
3 years ago
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