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Maru [420]
2 years ago
11

he Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers tak

e to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices. 13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82 Click here for the Excel Data File (Round your answers to 2 decimal places.) Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Mathematics
1 answer:
WINSTONCH [101]2 years ago
3 0

Answer:

30.5 ; 49 ; 27 ; 50 ; 45

Step-by-step explanation:

Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile

Given the ordered data :

13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82

Sample size, n = 30

The first quartile ;Q1

Q1 = 1/4(n+1)th term

Q1 = 31/4 = 7.75th term

Q1 = (29+32)/2

Q1 = 30.5

Q3 ;

Q3 = 3/4(n+1)th term

Q3 = 3(31)/4 = 23.25 th term

Q3 = (48 + 50) /2 = 49

2nd decile :

0.2 * (nth term

0.2 * 30 = 6th term = 27

8th decile :

0.8 * 30 = 24 th term

= 50

67th percentile :

0.67 * (n+1)th term

0.67 * 31 = 20.77

= (44 + 46) / 2

= 45

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find the volume of a solid that is generated by rotating around the indicated axis the plane region bounded by the giveb curves:
Fofino [41]
Assuming the area below the line y=0 (i.e. x>1) does NOT count, the area to be rotated is shown in the graph attached.

A. Again, using Pappus's theorem,
Area, A = (2/3)*1*(1-(-1))=4/3  (2/3 of the enclosing rectangle, or you can integrate)
Distance of centroid from axis of rotation, R = (2-0) = 2
Volume = 2 π RA = 2 π 2 * 4/3 = 16 π / 3 (approximately = 16.76 units)

B. By integration, using the washer method
Volume = 2\pi\int_{-1}^1(1-x^2)(2-x)dx
=2\pi\int_{-1}^1(x^3-2x^2-x+2)dx
=2\pi[x^4/4-2x^3/3-x^2/2+2x]_{-1}^{1}
=2\pi([1/4-2/3-1/2+2]-[1/4+2/3-1/2-2])
=2\pi(8/3)
= 16 π /3   as before



3 0
3 years ago
Standard form of the equation that goes through (3, -1) with a slope of -1, please!
11111nata11111 [884]

Answer:

x+y=2

Step-by-step explanation:

Standard Form: ax+by=c

For most convenience start with slope-intercept form: y=mx+b

1. -1 = -1(3)+b -  solve for b

b=2

y= -1x+2 (slope-intercept form)

2. Now convert to standard form

Add 1x to both sides:

1x+y=2

7 0
2 years ago
Jim runs 12 miles in 4 hours how many feet does he run per minute
hjlf

h= number of hours

m= number of miles

Formula: 4h=12m

(4 hours equals 12 miles)

Divide 4 on each side.

h= 3m

3 miles per hour.

Then, convert miles to feet. And hours to minute.

To do this simultaneously,

Convert miles to feet and hours to minutes.

There should be 3 "fractions" to multiply.

The first should be the original problem:

3miles/1 hour. (3 miles per hour).

The second should be 1 hour/60min. (1 hour per 60 min).

The third should be 5280 ft/1 mile. (5280 feet per mile).

The second and the third fractions are to convert miles to feet and the hours to minutes.

8 0
3 years ago
The graph below shows the path of a model rocket after its launch from the ground.
Zarrin [17]
The answer the third one
8 0
2 years ago
Which sequences are geometric? Check all that apply.
MatroZZZ [7]

Answer:

The geometric sequences are:

16 , -8 , 4 , -2 , 1 ⇒ 2nd

-15 , -18 , -21.6 , -25.92 , -31.104, ........ ⇒ 3rd

625 , 125 , 25 , 5 , 1 , ........ ⇒ 5th

Step-by-step explanation:

In the geometric sequence there is a constant ratio between each two consecutive terms

Let us find which sequence has  a constant ratio between its consecutive terms

-2 , -4 , -6 , -8 , -10

∵ -4 ÷ -2 = 2

∵ -6 ÷ -4 = 1.5

- No constant ratio between the consecutive terms

∴ The sequence is not geometric

16 , -8 , 4 , -2 , 1

∵ -8 ÷ 16 = -0.5

∵ 4 ÷ -8 = -0.5

∵ -2 ÷ 4 = -0.5

∵ 1 ÷ -2 = -0.5

- There is a constant ratio -0.5 between the consecutive terms

∴ The sequence is geometric

-15 , -18 , -21.6 , -25.92 , -31.104, ........

∵ -18 ÷ -15 = 1.2

∵ -21.6 ÷ -18 = 1.2

∵ -25.92 ÷ -21.6 = 1.2

∵ 31.104 ÷ 25.92 = 1.2

- There is a constant ratio 1.2 between the consecutive terms

∴ The sequence is geometric

4 , 10.5 , 17 , 23.5 , 30, ......

∵ 10.5 ÷ 4 = 2.625

∵ 17 ÷ 10.5 = 1.619047619

- No constant ratio between the consecutive terms

∴ The sequence is not geometric

625 , 125 , 25 , 5 , 1 , ........

∵ 125 ÷ 625 = 0.2

∵ 25 ÷ 125 = 0.2

∵ 5 ÷ 25 = 0.2

∵ 1 ÷ 5 = 0.2

- There is a constant ratio 0.2 between the consecutive terms

∴ The sequence is geometric

5 0
3 years ago
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