The time (in minutes) required to learn the procedure for performing a certain task is uniformly distributed on the interval from 32 minutes to 52 minutes. (a) What is the probability that it takes more than 46 minutes to learn the procedure?(b) What is average time reqiured to learn the procedure?

Answers

Answer 1

Answer:

a

 [tex]P( X > 46) = 0.7 \ minute[/tex]

b

[tex]\mu = 42 \ minute[/tex]

Step-by-step explanation:

From the question we are told that  

   The procedure for performing a certain task is uniformly distributed on the interval from( a =  32 )minutes to (b= 52) minutes

  Generally the cumulative distribution function for continuous uniform distribution is  

             [tex]F(x) = \left \{ {{0 \ \ \ \ \ for \ x \ x < a} \atop {\frac{x-a}{b-a} } \ \ for \ a \le x \ge b} \atop {1 \ \ \ \ \ \ \ for \ x > b }\right.[/tex]

Generally the probability that it takes more than 46 minutes to learn the procedure is mathematically represented as

          [tex]P( X > 46) = F(46) = \frac{46 - 32}{52-32}[/tex]

=>       [tex]P( X > 46) = 0.7 \ minute[/tex]

Generally the average time required to learn the procedure is mathematically represented as

        [tex]\mu = \frac{a + b}{2}[/tex]

=>     [tex]\mu = \frac{32 + 52}{2}[/tex]

=>     [tex]\mu = 42 \ minute[/tex]


Related Questions

An industry consists of three firms with sales of $380,000, $805,000, and $425,000.
a. Calculate the Herfindahl-Hirschman index (HHI). Instruction: Round to the nearest integer.
b. Calculate the four-firm concentration ratio (C4).
c. Based on the FTC and DOJ Horizontal Merger Guidelines described in the text, is the Department of Justice likely to attempt to block a horizontal merger between two firms with sales of $380,000 and $425,000?

Answers

The Herfindahl–Hirschman Index, or "HHI," is a widely used indicator of market concentration.  The HHI is derived by squaring each rival firm's market share and then adding the obtained figures together.

What is the solutions to the required calculations?

(a) Total market ($'000) = 380 + 805 + 425 = 1,610

Firm 1 share = 380/ 1,610x 100 = 23.60%Firm 2 share = 805 / 1,610 x 100 = 50.00%Firm 3 share = 425 / 1,610 x 100 = 26.40%

HHI = (23.60)² + (50.00)² + (26.40)² = 3753.92

(b) Since there are only 3 firms in market, four-firms concentration ratio will be 100% or 1

(c) Total revenue share of the two firms = (380+ 425) / 1440 x 100 = 55.90%

Post-merger HHI = (55.90)² + (50.00)² = 5624.81

This merger will, in fact, be stopped. This is because the regulation deems any HHI exceeding 1,800 after a merger to be a highly concentrated market, and so this merger will most likely be blocked.

Learn more about Herfindahl-Hirschman index (HHI) at:
https://brainly.com/question/17149410
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Halla la suma de 3, ocho veces un número, y tres veces el mismo número

Answers

Answer:

3 + 11x

Step-by-step explanation:

Nuestra ecuación será: 3 + 8x + 3x

No sabemos qué es x, así que simplemente sumamos términos semejantes y obtenemos 3 + 11x

Espero que esto haya ayudado, por favor marque lo más inteligente, ¡gracias!

Y=2x-4 and x=12 then y=

Answers

Answer:

Y = 20

Step-by-step explanation:

Because x = 12 we do:

2(12) - 4.

2 x 12 = 24.

24 - 4 = 20.

I hope this helps :)

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

[tex] x = \frac{\sqrt{6}}{2} [/tex]

Step-by-step explanation:

Reference angle = 45°

Opposite side = x

Hypotenuse = √3

Use the following trigonometric ratios formula to find x:

[tex] sin(\theta) = \frac{opp}{hyp} [/tex]

Plug in the values

[tex] sin(45) = \frac{x}{\sqrt{3}} [/tex]

Multiply both sides by √3

[tex] \sqrt{3}*sin(45) = x [/tex]

[tex] \sqrt{3}*\frac{\sqrt{2}}{2} = x [/tex]

[tex] \frac{\sqrt{3*2}}{2} = x [/tex]

[tex] \frac{\sqrt{6}}{2} = x [/tex]

Someone help me please


Express the cosine of < W as a ratio of the given side lengths.

Answers

cosine of W is 5/13

What are the intercepts of –3x + 5y – 2z = 60? (–3, 0, 0), (0, 5, 0), (0, 0, –2) (–180, 0, 0), (0, 300, 0), (0, 0, –120) (–20, 0, 0), (0, 12, 0), (0, 0, –30) (–60, 0, 0), (0, 60, 0), (0, 0, –60)

Answers

Answer:

(-20, 0, 0)

(0, 12, 0)

(0, 0, -30)

Answer:

(-20, 0, 0)

(0, 12, 0)

(0, 0, -30)

A pancake recipe calls for 4 of a cup of powdered milk and 2 cups of whole wheat flour for each batch of pancakes.
If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat finur does she need?

Answers

Per Batch:
4 Cups Powdered Milk
2 Cups Flour
4 Batches:
4x 4 cups of Powdered Milk
4x 2 cups of Flour

Therefore
16 cups of powered milk
8 cups of flour

9514 1404 393

Answer:

  24 cups

Step-by-step explanation:

One batch takes a combined total of 4 + 2 cups = 6 cups of milk and flour. Then 4 recipes will take ...

  4 × 6 cups = 24 cups . . . combined

If a space shuttle travels completely around the world in 90 minutes, how many times will it circle the globe in a full week?

(I need the answer right now! I'm doing test. Anything helps!)

Answers

Answer:

112

Step-by-step explanation:

10080 minutes in a week, 10080 divided by 90 = 112 : )

Find the equation in point-slope form of a line that has a slope of 2 and goes through the point (-5, 3).

Answers

Answer:

The answer is

[tex] \huge y - 3 = 2(x + 5)[/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have the final answer as

[tex]y - 3 = 2(x + 5)[/tex]

Hope this helps you

Choose the graph that correctly represents the equation 2x + 4y = 24. line through the points 0 comma 6 and 12 comma 0 line through the points 0 comma negative 6 and 12 comma 0 line through the points 0 comma negative 12 and 6 comma 0 line through the points 0 comma 12 and 6 comma 0

Answers

Answer:

(0,6) (12,0)

Step-by-step explanation:

HELP HELP HELP First to "help" rather than just answer with a random thanks for the points kinda response gets brainliest

Answers

Y= -7x+5

Hope this helps :)
Y=-7x+5
This is the answer

Two statements are missing reasons.What reason can be used to justify both statements 2 and 3?

Answers

Where’s the questions?

You own a share of a stock worth $400 . It decreases 5% .how much is it worth now?

Answers

Answer:

380$

Step-by-step explanation:

Multiply 400*5%=20

Then subtract 400-20=380

Answer:

$380

Step-by-step explanation:

The diagram shows three parallel lines that are cut by two transversals what is the value of r

Answers

Answer:

Step-by-step explanation:

C

WILL RATE 5 stars for correct answer

Answers

Its B because i really need this 5 star thank you

When the sun is at a certain angle in the sky, a 20-foot flagpole will cast a 16-foot shadow. How tall is a person if he casts a 4.4-foot shadow at the same time? The person is blank feet tall. Enter only the number.

Answers

Answer:

The person is 5.28 feet tall

brad had $10 to spend at the Ruby’s. 1/2 pound of sausage and 1 1/4 Pound of chicken. How much money did brad have left after he pays for his order?

Answers

Answer:

1.76

Step-by-step explanation:

i cant explain ;w;

A triangle with an area of 10 square meters has a height of 4.5 meters. A similar triangle has an area of 90 square meters. What is the height of the larger triangle?
A) The ratio of the area of the small triangle to the area of the larger triangle is _:_
B) The ratio of the side length of the small triangle to the side length of the larger triangle is _:_

Answers

Answer:

h = 40.5 m

A) 1 : 9

B) 1 : 3

Step-by-step explanation:

Let the height of the larger triangle be h

Therefore,

[tex] \frac{10}{90}= \frac{4.5}{h}\\\\

\frac{1}{9}= \frac{4.5}{h}\\\\

h = 9\times 4.5\\\\

h = 40.5\:m\\[/tex]

A)

The ratio of the area of small triangle to the large triangle

[tex] =\frac{10}{90}=\frac{1}{9}=1 : 9[/tex]

B)

The ratio of the side length of small triangle to the side length of large triangle

[tex] =\sqrt{\frac{10}{90}} =\sqrt {\frac{1}{9}} =1 : 3

[/tex]

Please find the slope of these Thank you sm

Answers

Answer:

28?

Step-by-step explanation:

Look at the top right corner, then count!

Slope: (y2-y1)/(x2-x1)
Points: (0,9), (3,0)
(0-9)/(3-0) = -9/3 = -3
The slope is -3

A gym charges each member $100 for a membership fee and $30 per month after that. How much money will a member spend after 6 months

Answers

Answer:

280

Step-by-step explanation:

Month 1: 100 + 30 = 150

Month 2: +30

Month 3: +30

Month 4: +30

Month 5: +30

Month 6: +30

Total: 280

Hope this helps!

Answer:

$280

Step-by-step explanation:

For this problem, we simply need to take the initial cost of membership and add that to the reoccurring cost from a time period, in this case, 6 months.  So let's make an equation to represent this.

The initial cost is $100

The per month cost is $30

Total cost after 6 months = Inital cost + Per Month Cost * 6 months

Total cost = $100 + $30 * 6

Total cost = $100 + $180

Total cost = $280

Thus, a member will spend $280 after 6 months on the membership.

Cheers.

Help please .........

Answers

Answer:

50%, 20%, 36%

Step-by-step explanation:

A: 2012=190, 2014=285. 95 more students. 95 is half of 190.

B: 2014=285, 2015=228. 57 less students. 57 is 20% of 285.

C: 2013=210, 2014=285. 75 more students. 75 is roughly 36% of 210.

what is 4 and 1 /3 times 6​

Answers

Answer:

25.8

Step-by-step explanation:

1/3 = .3

4.3 * 6 = 25.8

So 4 and 1/3 times 6 is 25.8 or 25 and 8/10

I hope this helps!! :) blessings, stay safe, xx, nm <3

Answer: 25.9999...

Explain: The answer is 25.9999...

the 9’s are never ending.

Simplify the followingexpression (-5)(-3)(4)

Answers

Your answer would be 60.

A negative times a negative equals a positive. This means that -5 x -3 = 15.

Then you multiply that by four and get 60.

Hope this helps and have a nice day!!

The price of a pair of shoes increases from $54 to $58. What is the percent increase to the nearest percent?

Answers

Answer:

the percent is 400%

Step-by-step explanation:

54 to 58 is 4 so 4÷100 is 0.04 convert to a percent is 400%

Translate the phrase into an algebraic expression.
The product of c and 2

Answers

Answer:

c+2

Step-by-step explanation:

Im not 100% sure I understand what you mean by this but anytime it says and in a statement it means + so c+2 would be the answer.

Help me please I really need help

Answers

Answer:

Step-by-step explanation:

Tower 1: 4 times 4 times 5

80 cubic units

Tower 2:

10 times 5 times 4

200 cubic units

T 3= 12 times 1 times 4

48 cubic units

T 4=  69 cubic units

I need help plz help

Answers

The answer would be 78. C

Answer:

GET A CALCULATOR

Answer is: 78

Step-by-step explanation:

Alice solves every puzzle with probability 0.6 , and Bob, with probability 0.5 . They are given 7 puzzles and each chooses 5 out of the 7 puzzles randomly and solves them independently. A puzzle is considered solved if at least one of them solves it. What is the probability that all the 7 puzzles happen to be solved by at least one of them

Answers

Answer:

0.021943

Step-by-step explanation:

Alice solves every puzzle with a probability of  0.6

Bob solves every puzzle with a probability of 0.5

Number of puzzles given = 7

The probability of a puzzle been solved by either Alice or Bob

P = P( A U B ) = P( A ) + P( B ) - P( A n B )

                      =  0.6 + 0.5 - ( 0.6 * 0.5 )  = 0.8

probability of all 7 puzzles solved = (P( A ))^2 * ( P )^3 * (p(B))^2

                                                        = ( 0.6 )^2 * (0.8)^3 * (0.5)^2 = 0.04608

Finally determine the P ( choosing 5 out of 7 for both such that all the 7 are chosen )

attached below is the remaining part of the solution

A batsman scored the following number of runs in six innings:
35, 30, 45, 65, 44, 21. Calculate the mean runs scored by him in
(a) 39
(b) 38
(c) 37
(d) 40​

Answers

Answer:

D

Step-by-step explanation:

The mean or average is calculated by summing each element and then dividing by the number of elements.

We have: 35, 30, 45, 65, 44, and 21.

There are six elements in total.

We find the sum by adding. Hence:

[tex]35+30+45+65+44+21=240[/tex]

We will now divide by 6, the number of elements:

[tex]240/6=40[/tex]

Therefore, the mean runs scored by the batsman is 40.

Hence, our answer is D.

1 and 2, please and thank you!

Answers

1 is a two is f......
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