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vodka [1.7K]
3 years ago
5

A refrigeration assembly line travels 3,000 meters from start to finish. It takes 2 days of 8-hour workdays for a single unit to

go from start to finish. How far does the line move each minute? Round the answer to two decimal places.
A. 1.25 meters
B. 3.13 meters
C. 6.25 meters
D. 12.50 meters
Mathematics
2 answers:
lidiya [134]3 years ago
7 0
The answer is B because 2 workdays of 8 hours equals 960 minutes. And a unit can travel 3.13 meters per minute because 3000 divided by 960 is 3.13 
BaLLatris [955]3 years ago
7 0

Answer:

Option B. 3.13 meters

Step-by-step explanation:

A refrigeration assembly line travels from start to finish = 3,000 meters.

It takes 2 days of 8 hour workdays for a single unit to go from start to finish.

2 days of 8 hour workdays = 8 × 2 = 16 hours

∵ 1 hour = 60 minutes

∴ 16 hours = 60 × 16 = 960 minutes.

Now we will divide total distance to 960 minutes.

The line move each minute = \frac{3000}{960}

                                              = 3.125 ≈  3.13 meters/ min.

The line moves 3.13 meters each minute.

Option B. 3.13 meters

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The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?​
pantera1 [17]

Answer:

The diameter is 22.92 inches

Step-by-step explanation:

Hello, I can help you with this question

in this case we know the circumference of a circle, and we need to find out the diameter.

let's remember

the radius of a circle can be defined as

radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\

also

circumference=2*\pi  *radius(equation2)\\

Step1

replace the value of the circumference of tyler's bike in equation 2  and isolate radius to find radius

72 inches=2*\pi  *radius\\\\radius=\frac{72}{2*\pi  } \radius =11.46\ inches

Step 2

now, replace the value of radius into equation 1 to find diameter

radius=11.46 in

diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92

so, the diameter is 22.92 inches

I really hope it helps, have a great day.

5 0
3 years ago
Read 2 more answers
Solve:
svlad2 [7]
Hello!

Judging on the questions you have provided I have come to the conclusion that to solve all of these you need to find the value of x by isolating it all on one side and simplifying.

For question #1 the first step would be to subtract 6 from each side.
The outcome should be -x=-6-12, and if simplified -x=-18.
Next, you want to divide each side by -1 because x needs to always be positive when finding the solution.
Your answer for #1 should be X=18, D.

For question #2 the first step you should take is to subtract 1.33 from each side to isolate x. 
The outcome should be x=7.82-1.33, and if simplified x=6.49.
Thus your answer for #2 should be X=6.49, A.

For question #3 the first step you should take to approaching the equation is to isolate x by adding 15.99 towards each side of the equation.
The outcome should be x=58.06+15.99, and if simplified x=74.05.
Thus your answer for question #3 should be X=74.05, D.

Lastly, for question #4 the first step you should take towards isolating x is to divide the entire equation by 1.32.
Your outcome should be x= 6.8
Thus, your answer for the last question, #4, should be X=6.8, C.

Hope this helped!
-Blake
8 0
3 years ago
Read 2 more answers
When the prefix milli is used, it means multiply the number by ? ?
valina [46]
1 meter  = 1000 millimeters

so,  5 meters   = 5*1000 = 5000 millimeters

and  6000 millimeters = 6000 / 1000 = 6 meters
3 0
3 years ago
Listed below are the numbers of heroic firefighters who lost their lives in the United States each year while fighting forest fi
Marysya12 [62]

Answer:

Step-by-step explanation:

Hello!

Data

Year/Firefighters

2000: 20

2001: 18

2002: 23

2003: 30

2004: 20

2005: 12

2006: 24

2007: 9

2008: 25

2009: 15

2010: 8

2011: 11

2012: 15

2013: 34

<u>Common measures of variation</u>

<u>Variance</u>

S²= \frac{1}{n-1}[sumX^2-\frac{(sumX)^2}{n} ]

∑X= 20 + 18 + 23 + 30 + 20 + 12 + 24 + 9 + 25 + 15 + 8 + 11 + 15 + 34

∑X= 264

∑X²= 20² + 18² + 23² + 30² + 20² + 12² + 24² + 9² + 25² + 15² + 8² + 11² + 15² + 34²

∑X²= 5770

n= 14

S²= \frac{1}{13}[5770-\frac{(264)^2}{14} ]

S²= 60.90

<u>Standard deviation</u>

The standard deviation is the square root of the variance

S= √S²= √60.90= 7.80

<u>Coefficient of variation</u>

Is a relative standard deviation, it is defined as the division of the standard deviation (S) by the mean (X[bar)]. It has not units and is usually expressed in percentage. It shows the variability in relation to the mean.

C.V.= \frac{S}{X[bar]}*100 = \frac{7.80}{18.86}*100= 41.36%

The mean or average is a measurement of position and gives you an idea of the central value of the distribution of the data.

X[bar]= ∑X/n= 264/14= 18.86

<u>Range</u>

In the interval between the max and min values. It allows you to have an idea of the dispersion of the values.

R= Xmax - Xmin= 34 - 8= 26

Xmax= 34

Xmin= 8

<u>Inter Quartile Range</u>

Is the difference between Quantile 1 (C₁) and Quantile 3 (C₃). It shows the 50% mid values of the sample.

IQR= C₃ - C₁= 23.5 - 11.5 = 12

Quantile 1 (C₁) is the value that leaves 25% of the sample below and 75% of the sample above.

Pos1: n/4= 14/4= 3.5

The first quantile is the number between position 3 and position 4

8, 9, 11, 12, 15, 15, 18, 20, 20, 23, 24, 25, 30, 34

C₁= (11+12)/2= 11.5

Quantile 3 (C₃) is the value that leaves 75% of the sample below and 25% of the sample above.

Pos3: n*3/4= 14*3/4= 10.5

The third Quantile is between position 10 and 11

8, 9, 11, 12, 15, 15, 18, 20, 20, 23, 24, 25, 30, 34

C₃= (23+24)/2= 23.5

The measurements of variation don't allow you to know the origin of the data, that it is from consecutive years.

I hope it helps!

6 0
3 years ago
Helppppppppppp???????
Assoli18 [71]

Answer:

an = 3n – 5; a16

Step-by-step explanation:

your answer is a

7 0
3 years ago
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