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3 years ago

Item 4

Mathematics

2 answers:

Simora [160]3 years ago

5 0

Answer:

270 s

Step-by-step explanation:

4 minutes = 240s

add the other 30s

boom

BigorU [14]3 years ago

4 0

Sam biked for 270 s

60 x 4 = 240
240 + 30 = 270 s

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Please help as soon as possible

Mice21 [21]

1 kilometer = 1000 meters so 12 kilometers = 12000 meters

10 laps (400 meters/lap) = 4000 meters

12000/4000 = 3

Answer: 3 days

4 0

3 years ago

The percentage of cotton in material used to manufacture men's shirts follows.

velikii [3]

Answer:

Median = 34.55

Quartiles:

Q1 = 33.1

Q2 = 34.55

Q3 = 35.6

Inter Quartile range = 2.5

Step-by-step explanation:

Step 1

We arrange the given the following data from lowest to the highest

32.0, 32.1, 32.1, 32.2, 32.4, 32.5, 32.5, 32.5, 32.8, 32.8, 32.8, 32.8, 32.9, 32.9, 33.0, 33.0, 33.2, 33.2, 33.2, 33.2, 33.5, 33.6, 33.8, 33.8, 33.9, 34.0, 34.0, 34.1, 34.1, 34.3, 34.4, 34.5, 34.6, 34.6, 34.6, 34.7, 34.7, 35.0, 35.0, 35.1, 35.1, 35.2, 35.4, 35.5, 35.5, 35.5, 35.5, 35.6, 35.6, 36.1, 36.3, 36.4, 36.4, 36.4, 36.5, 36.6, 36.7, 36.7, 37.0, 37.1, 37.4, 37.4, 37.6, 37.8

a. Construct a stem-and-leaf display for the data.

Stem and leaf Display

Stem | Leaf

32 | 0,1,1,2,4,5,5,5,8,8,8,8,9,9

33 | 0,0,2,2,2,2,5,6,8,8,9

34 | 0,0,1,1,3,4,5,6,6,6,7,7

35 | 0,0,1,1,2,4,5,5,5,5,6,6,

36 | 1,3,4,4,4,5,6,7,7,

37 | 0,1,4,4,6,8

b. Calculate the median and quartiles of these data.

Number of terms = 64

1) Median = 1/2(n + 1)th value

n = 64

= 1/2(64 + 1)th

= 1/2(65)th

= 32.5 th value

This means it is between the 32nd and 33rd value

32nd = 34.5

33rd = 34.6

= 34.5 + 34.6/2

= 69.1/2

= 34.55

2) First Quartile

1/4(n + 1)th value

n = 64

= 1/4(64 + 1)th

= 1/4(65)th

= 16.5th value

This means it is between the 16th and 17th value

16th value = 33.0

17tj value = 33.2

= 33.0 + 33.2/2

= 66.2/2

= 34.55

Q1 --> 33.1

3)Second Quartile = Median

1/2(n + 1)th value

n = 64

= 1/2(64 + 1)th

= 1/2(65)th

= 32.5 th value

This means it is between the 32nd and 33rd value

32nd = 34.5

33rd = 34.6

= 34.5 + 34.6/2

= 69.1/2

= 34.55

Q2 --> 34.55

Third Quartile

3/4(n + 1)th value

n = 64

= 3/4(64 + 1)th

= 3/4(65)th

= 48.75 th value

This means it is towards the 49th value

32nd = 34.5

Hence,

Q3 --> 35.6

Inter Quartile range

Q3 - Q1

= 35.6 - 33.1

= 2.5

8 0

3 years ago

1/2 - 3/4 equals what

n200080 [17]

1. Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.

2: 2 , 4

4: 4
Therefore, the LCD is 4

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Therefore, the LCD is 2 x 2 = 4

2. Make the denominators the same as the LCD

 $\frac{1 x 2}{2 x 2} - \frac{3}{4}$

3. Simplify. Denominators are now the same.

 $\frac{2}{4} - \frac{3}{4}$

4. Join the denominators

$\frac{2-3}{4}$

5. Simplify

 $-\frac{1}{4}$

Done! :) Decimal Form: -0.25

5 0

3 years ago

Which side lengths form a right triangle?

deff fn [24]

Answer:

Step-by-step explanation:

6^2+8^2=100

sqrt of 100 = 10 so it would form a right triangle

8 0

3 years ago

2. Rosa and her friends went kayaking at a local lake. Rosa paid $12 for

Alinara [238K]

Answer:

THREE HOURS

Step-by-step explanation:

34.50-12=22.5

22.5/7.50=

5 0

3 years ago

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