We want to decide whether to employ a human operator or buy a machine to paint steel beams with a rust inhibitor. Steel beams are produced at a constant rate of one every 14 minutes. A skilled human operator takes an average time of 700 seconds to paint a steel beam, with a standard deviation of 300 seconds. An automatic painter takes on average 40 seconds more than the human painter to paint a beam, but with a standard deviation of only 150 seconds. Estimate the expected waiting time in queue of a steel beam for each of the operators, as well as the expected number of steel beams waiting in queue in each of the two cases. Comment on the effect of variability in service time.

Answer:

60%

Step-by-step explanation:

12/20 or 6/10 or 3/5 simplified would be 60% of her students passed their test.

Answer:

The answer is 60%

Step-by-step explanation:

You have to convert the fraction 12/20. You divide this 12/20 which gives you 0.6. Then multiply 0.6 times 100.

Answer:

y=3-2x

Step-by-step explanation:

Can i get brainliest please?

Answer:

I think you need to add more information but this is my guess. It takes (blank) time to travel 8.42 miles

Step-by-step explanation:

Answer: $3.17

Step-by-step explanation:

18.99/6=3.165

Answer:

3.165

Step-by-step explanation:

All you had to do was divide 18.99 and 6

Answer:

I think it will be 3....?

Answer:

mean 5

median 4

mode 3

Step-by-step explanation:

The mean is the average, or add up all the numbers and divide by the number of numbers

(3+5+2+4+3+4+3+5+16)/9

45/9 = 5

The median is the middle number when listed from smallest to largest

2,3,3,3,4,4,5,5,16

Since there are 9 numbers, the middle is the 5th number

2,3,3,3   ,4,     4,5,5,16

The median is 4

The mode is the number that appears most often which is 3 since it appears 3 times

Answer:

55 grams

Step-by-step explanation:

33 times 20 is 660. then you divide 660 by 12 which gives you 55.

There are 55 grams of sugar in a 20-ounce bottle of soda.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Suppose 4 pens cost $20, hence cost of 1 pen is (20/4) = $5.

From this unitary cost, we can determine the cost of any no. of pens.

Given that 12 ounces of cola contain 33 grams of sugar.

∴ 1 ounce of cola contains (33/12) = 2.75 grams of sugar.

Hence in a 20-ounce bottle, there will be (2.75×20) = 55 grams of sugar.

learn more about unitary method here :

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Answer:

21

Step-by-step explanation:

84% = 84/100

= 0.84

multiply 25 by 0.84 for result

0.84 x 25 = 21

Answer:

[tex]-\frac{6}{5}x +2[/tex]

Step-by-step explanation:

Point slope form is as so:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept

Just plug in the information you have in their respective spots of the equation

Answer:

Yes

Step-by-step explanation:

Yes

Answer:

y = - x + 6

Step-by-step explanation:

[tex] point \: slope: y - y_{1} = m(x - x_{1})[/tex]

as y is the y coordinate of the final point , y1 is the y coordinate of the initial point, m is the slope or gradient of the line, x is the x coordinate of the final point, and x1 is the x coordinate of the initial point.

given (-1,7) and (2,4). 7 = y1, 4 = y, -1 = x1, 2 = x.

when substituted into the equation the unknown variable is the slope which we are solving for.

y-y1=m(x-x1) ; y = 4, y1 = 7, x = 2, x1 = -1

(given)

4-7 = m(2--1)

(substitution property of equality)

-3 = m(2--1)

(subtraction property of equality)

-3 = m(3)

(subtraction property of equality)

-3 = 3m

(multiplication property)

-1 = m.

(division property of equality)

m = -1

(symmetric property of equality)

_____________________________

once m is solved you just need the initial values to solve for the actual equation.

y - y1 = m (x - x1) ; y1 = 7, m = -1, x1 = -1

(given)

y - 7 = -1 (x - -1)

(substitution property of equality)

y - 7 = -1 (x + 1)

(subtraction property if equality)

y - 7 = -x - 1

(distributive property of equality)

y = -x - 1 + 7

(addition property of equality)

y = -x + 6

(addition property of equality)

Answer:

get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.

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Answer:

D,C,B

Step-by-step explanation:

i hope this help you out if it does comment brainly

Step-by-step explanation:

h=2

Answer:

40.375

Step-by-step explanation:

I hope this helps

The angles are complementary.

This means they add to 90 degrees.

(2x + 1) + (x + 5) = 90.

3x + 6 = 90. (Combine like terms)

3x = 84. (Subtract 6 from each side)

x = 28. (Divide 3 from each side)

x = 28

D is correct

Answer:

b

Step-by-step explanation:

Use the formulas.

The formula for sphere is volume = 4πr³/3

We are using 3.14 for pi,

So its volume is about 7234.56.

The formula for cone is volume = πr²h / 3

r is the radius and h is the height.

So the volume of the cone is about 3617.28

Now, subtract.

You get 3617.28.

Choice D is the answer.

The answer is in the attachment . Kindly refer to it .

Answer:

a) 0.5 is the probability of students who selected the stated option.

b) =0.8 is the probability of students who choose the stated option.

c) E(x) = P(x) x n

        = [(5) + (8)]x 1/10

       = 13/10

Step-by-step explanation:

Solution:

Number of students assigned to guilty state = 57

Number of students choose stated option = 45

Randomly Selected students =10

a) Find p(x=5)

x is the number in a sample of 10, who choose the stated option.

Sample number p(s) = 10

P(x) = 5

Probability = p(x) / p(s)

                  = 5/ 10

                   =0.5

0.5 is the probability of students who selected the stated option.

(b) Find p(x=8)?

Sample number p(s) = 10

P(x) = 8

Probability = p(x) / p(s)

                  = 8/ 10

                   =0.8 is the probability of students who choose the stated option.

(c) Expected (mean) value of x?

The expected value can be calculated by multiplying the probability of an event by the event's amount of times.

E(x) = P(x) x n

        = [(5) + (8)]x 1/10

       = 13/10

Answer:

11.5

Step-by-step explanation:

4x+14=60

Answer:

2 inches

Step-by-step explanation:

liz's fish is 8 inches longer than ann's and her fish is 10 inches long 10-8=2

Answer:

The depreciated asset price has to be independent of VAT;

= 402,500/1.15

= $350,000

Annual Depreciation = 350,000/6 years

= $58,333

Musk Trading has a 30 June year end so;

September to June = 10 months

Depreciation;

= 58,333 * 11/12

= $48,611

Accumulated Depreciation = $48,611

Depreciation = Annual depreciation of $58,333

Accumulated depreciation

= 2019 depreciation + 2020 depreciation

= 48,611 + 58,333

= $‭106,944‬

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Mean score (m) = 80

Standard deviation = 4

Acore within one standard deviation of the mean:

Zscore = ± 1

Using the relation:

Zscore = (x - mean) / standard deviation

Where x = score

±1 = (x - 80) / 4

4 = x - 80

±4 + 80 = x

x = - 4 + 80 = 76

x = 4 + 80 = 84

Scire with 1 standard deviation of the mean :

76 = 1 standard deviation below

84 = 1 standard deviation above

Answer:

n=6

Step-by-step explanation:

2n-7=5      (add 7 to -7 and 5)

2n=12        (divide both sides by two)

Solution:

n=6

Answer:

N = 1

Step-by-step explanation:

1.- 2n - 7 = 5

Subtract 5 on both side of the equal sign

2.-  2 = 2n

Divide 2 on both side to get the "n" by itself

3.- 2 divided 2 is 1

Answer:

Step-by-step explanation:

density is mass divided by volume, so 25g divided by 10 cm = 2.5 g

Answer:

[tex]x\neq 1+2n,n\in\mathbb{Z}[/tex]

Step-by-step explanation:

Remember that for the tangent parent function, it has infinite discontinuities (vertical asymptotes) on:

[tex]f(x)=\tan(x), \\\text{Where }x\neq\frac{\pi}{2}+n\pi, n\in\mathbb{Z}[/tex]

Here, we have:

[tex]f(x)=\tan(\frac{\pi x}{2})[/tex]

So, we can set the expression inside the tangent to equal our parent domain restriction. This yields:

[tex]\frac{\pi x}{2}\neq\frac{\pi}{2}+n\pi[/tex]

Solve for x. Multiply both sides by 2:

[tex]\pi x\neq \pi+2n\pi[/tex]

Divide both sides by π:

[tex]x\neq 1+2n, n\in\mathbb{Z}[/tex]

Therefore, for the function [tex]f(x)=\tan(\frac{\pi x}{2})[/tex], it is not continuous for all Xs [tex]1+2n[/tex] where [tex]n\in\mathbb{Z}[/tex]

Step-by-step explanation:

x² + (y − 1)² = 9

This is a circle with center (0, 1) and radius 3.  We can parameterize it using sine and cosine.

Use the starting point to determine which should be sine and which should be cosine.

Use the direction to determine the signs.

Use the number of revolutions and the interval to determine coefficient of t.

(A) Once around clockwise, starting at (3, 1).  0 ≤ t ≤ 2π.

The particle starts at (3, 1), which is 0 radians on a unit circle.  It makes 1 revolution (2π radians).  Therefore:

x = 3 cos t

y = 1 − 3 sin t

(B) Two times around counterclockwise, starting at (3, 1).  0 ≤ t ≤ 4π.

The particle starts at (3, 1), which is 0 radians on a unit circle.  It makes 2 revolutions (4π radians).  Therefore:

x = 3 cos t

y = 1 + 3 sin t

(C) Halfway around counterclockwise, starting at (0, 4). 0 ≤ t ≤ π.

The particle starts at (0, 4), which is π/2 radians on a unit circle.  It makes 1/2 revolution (π radians).  Therefore:

x = -3 sin t

y = 1 + 3 cos t

Answer:

18 cm/s means 18 cm in 1 second. When converting 18 cm/s into meters per minute, you need to convert 18 cm into meters and 1 second into minute. 18 cm = 18/100 meters. 1 second = 1/60 minutes.

Step-by-step explanation: