A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 20% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 10% during the current year. In addition, it estimates that 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

Required:
a. What percentage of the employees will experience lost-time accidents in both years?
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

Answers

Answer 1

Answer:

a. 5% of the employees will experience lost-time accidents in both years

b. 24% of the employees will suffer at least one lost-time accident over the two-year period

Step-by-step explanation:

a. What percentage of the employees will experience lost-time accidents in both years?

20% last year, of those who suffered last year, 25% during this year. So

[tex]p = 0.2*0.25 = 0.05[/tex]

5% of the employees will experience lost-time accidents in both years.

b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

5% during the two years.

10% during the current year. 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

So the 10% is composed of 5% during both years(25% of 20%) and 5% of the 80% who did not suffer during the first year.

First year yes, not on the second.

75% of 20%. So, total:

[tex]0.05 + 0.05*0.8 + 0.75*0.2 = 0.24[/tex]

24% of the employees will suffer at least one lost-time accident over the two-year period


Related Questions

solve for x 64 = 2^3x

Answers

Answer: X=0 , 1.03355778

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

1. Find the surface area of the shape

Answers

Answer:

hsjsm

Step-by-step explanation:

mmssdn jnhbxjs ẹnienbsd  sywb

State if the two triangles are congruent. If they are, prove by using a two column proof!!!

Answers

Answer:

you can prove that they are congruent if their angles are the same.

What is the equation of a circle with center (4, 4) and radius 7?

Answers

Answer:

(x-4)^2 + (y-4)^2 = 49

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-4)^2 + (y-4)^2 = 7^2

(x-4)^2 + (y-4)^2 = 49

PLEASE HELP ME !!!! WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY

Answers

Answer:

Ok Its not that hard actually

Step-by-step explanation:

but still too much for me plz give brainliest to meee

Answer:

21

Step-by-step explanation:

4x-2=3x+19

4x-3x=19+2

x=21

In a school 33% pupils study
biology and 16% study chemistry. if 9% study both science; what percent study
neither percent?​

Answers

Step-by-step explanation:

DRAW VENN disgarm

say there are 100

33 - 9 = 24 study only Bio

16 - 9 = 7 study only chemistry

that is a total of 24 + 9 + 7= 40 that study at least one of them

so

100 - 40 = 60% play hockey instead

HELP !!

A circular pizza has been cut into 15 equal size pieces how many degrees is the angle from one piece

Answers

Answer:

24°

Step-by-step explanation:

360/15 = 24

A tosses one coin and B tosses two coins. The winner is the player who gets the most heads. In case of an equal number of heads A wins. (a) Compute the probability that B wins given that A gets 0 heads. (b) Compute the probability that B wins given that A gets 1 heads. (c) Compute the probability that B wins. (d) Change the game so that A tosses 2 coins and B tosses 3 coins. The winner is still the player who gets the most heads. In case of an equal number of heads A wins. Compute the probability that B wins in the new game.

Answers

Answer:

a) 3/4

b) 1/4

c) 1/2

d) 1/2

Step-by-step explanation:

A tosses one coin while B tosses two coins

a) P( B wins given A gets 0 heads )

In this scenerio for B to win, he needs to get at least 1 head i.e.  P( B gets at least one heads)

  =  1 - P(B get no head)

  =  1 -  (1/2)^2  = 3/4

b) P( B wins given A gets 1 head )

For B to win when A gets 1  head means that B will have to get 2 heads

i.e. P( B gets 2 heads ) = P( one head )^2 = ( 1/2 )^2 = 1/4

c) P( B wins )

P ( B wins ) = P(A get 0 head and B gets at least one head) + P(A get 1 head and B get 2 head)

= ( 1/2 * 3/4 ) + ( 1/2 * 1/4 ) = 1/2

d) P ( B wins the new game )

Given that: A tosses two(2) coin while B tosses three(3) coins

P( B ) = P(A gets 0 head and B gets one head) +  P(A get 1 head and B get 2 or 3 heads )  +    P(A get 2 head and B gets 3 heads )

=[ (1/4 *(1 -1/8) ] +  (1/2 * 1/2)  +   ( 1/4 * 1/8 )= 1/2

When too many variables are categorized in an analysis, several potential issues may occur. Which of the following is not one of the issues that may occur?
A. model performance suffers.
B. rarely occurring categories may not be captured accurately.
C.difficulty in differentiating among observations.
D. an increase in the number of categories as the data set becomes larger.

Answers

Answer: D. an increase in the number of categories as the data set becomes larger.

Step-by-step explanation:

When too many variables are categorized in an analysis, there are different potential issues may occur, some of these issues include:

• model performance suffers.

• rarely occurring categories may not be captured accurately.

• difficulty in differentiating among observations.

It should be noted that an increase in the number of categories as the data set becomes larger isn't one of the issues. Therefore, the correct option is D.

Can y’all help me a question 4?!

Answers

Answer: 20 square units (choice C)

============================================================

Explanation:

Ignore the portions that are 12 and 13 units long.

The base of triangle ABC is 8 units long. The height is 5 units. The base and height are always perpendicular.

The area is base*height/2 = 8*5/2 = 40/2 = 20 square units

---------

Side note:

You could find the area of triangle ABD, where D is at the 90 degree angle location, and then subtract off the area of triangle ACD. This is a slightly longer approach compared to the first section above.

Need some help on this one pls (marking brainlist) :D​

Answers

Answer:

x = 24 i think

Step-by-step explanation:

Phineas puts $600 into a certificate of deposit that earns 3.09%. If the money is
compounded monthly, how much will it be worth in 4 years?

Answers

Answer:

$678.83

Step-by-step explanation:

Given :

Principal, P = $600

Rate = 3.09% = 0.0309

Period, t = 4 years

Compounding times per period, n = 12 (monthly)

The compound interest formula :

A = P(1 + r/n)^nt

A = 600(1 + 0.0309/12)^(12*4)

A = 600(1 + 0.002575)^48

A = 600(1.002575)^48

A = 600 * 1.1313834

A = 678.83004

Worth in 4 years = $678.83

Answer to the question? ​

Answers

Answer:

35

Step-by-step explanation:

AEC and AEB form a straight angle(180°)

180-40=140

AEV and AED are equal

140 divided by 4 = 35

Joan is a babysitter. She earns $8.50 per hour. Joan wants to buy a new phone that costs $161.50 with the tax included. Write an equation relating the number of hours she needs to babysit to the amount of money she earns. Find out how many hours Joan must babysit to buy the phone. Use h to represent the number of hours Joan babysits.

Answers

Answer:

8.5=161.50;h= 19 hours

Step-by-step explanation:

So its pretty easy all you have to do is multiply 8.5 x 19

what does X = to? will mark brainliest if it is an ACTUAL ANSWER

Answers

Answer:

x = 53

Step-by-step explanation:

The sum of the angles of a triangle are 180

x + ( x+2) + 72 = 180

Combine like terms

2x+74  =180

2x+74-74 = 180-74

2x =106

Divide by 2

2x/2 = 106/2

x =53

PLEASE HELP! 10 POINTS! WILL GIVE BRAINLIEST!
The numbers of licensed drivers in four samples taken from a population of students are shown in the table below. Which of the following choices is most likely closest to the percentage of students in the population who are licensed drivers? Sample Size Number of Licensed Drivers 25 4 50 14 75 15 100 24 O A. 20% B. 24% C. 16% D. 28%​

Answers

Using the percentage concept, the amount that is closest to the percentage of students in the population who are licensed drivers is given by:

B. 24%.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Higher sample sizes lead to more accurate estimates, hence the percentage is given by:

[tex]P = \frac{24}{100} \times 100\% = 24\%[/tex]

Which means that option B is correct.

More can be learned about percentages at https://brainly.com/question/10491646

#SPJ1

How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I WILL MARK YOU THE BRAINLIEST!!!

Answers

Answer:

Problem-solving is one of those skills that is in high demand. Many employers rate it as one of the most important traits they look for in prospective employees. It is also usually listed as an important learning outcome in many of the classes you in take in college including math classes, psychology classes, and even this class! But, it is often not taught at all or very well.

One reason why this is the case is because of a confusion relating to what kinds of problems are being solved. It is often assumed that by practicing any kind of problems for which you don't have an answer you will learn the skills appropriate to solve any problem. But, this is simply not true. Since there are different types of problems learning how to solve one type won't necessarily help you build the skills you need to solve the other type. So, let's begin by distinguishing two types of problems: puzzles and mysteries.

In his book Curious: The Desire to Know and Why Your Future Depends on It, Ian Leslie defines these two types of problems very well: puzzles and mysteries.

"Puzzles have definite answers. Puzzles are orderly; they have a beginning and an end. Once the missing information is found, it's not a puzzle anymore." Most of the problems you encounter in your college math courses are in reality puzzles. They have definite answers and are orderly. Also, the information you need to solve them is right there in the question! And, if you need extra help you can just turn back to the chapter in the text which discusses how to solve these particular type of problems.

I know what you're thinking. Sure, these are real world problems and I've even faced some of them but how can I build the skills I need to solve these problems before taking these problems on? It does no good to practice on these very difficult problems.  

2. Learn as much as you can about as many topics as you can. Solving mysteries often involves drawing on knowledge from a variety of sources. It is quite likely that many of the things you're now learning (even those you think are irrelevant) may turn out to be helpful at some point in solving a problem. So, take advantage of the opportunity to really learn about psychology, biology, history, mathematics, and all the other subjects you're learning now. That time will pay off.

3. Make connections. A lot of problems are solved by finding interesting, creative connections between seemingly unrelated topics. A good example here is Steve Jobs' application of his knowledge of calligraphy to the Apple operating system. Another is the psychiatrist Jeffrey Schwartz's development of a treatment for OCD (obsessive compulsive disorder) by combining Buddhism and Austrian economics.

4. Read books about mysteries, problem solving, and even mystery novels. Sherlock Holmes is a great place to start. Reading the Conan Doyle's stories of the great detective reveal some basic principles of problem solving which can apply to everyday life. Daniel Smith's book How to Think Like Sherlock is another good resource.

5. Solve simpler mysteries first. Rather than taking on the more complex type of real world problems mentioned above, begin with simpler, but still real, problems. Never mind solving your work-life balance problem right off. Start with solving this problem: How can I keep from losing my phone every time I get ready to go somewhere?

6. Adopt a problem-solving mindset. Be observant of your surroundings and attuned to what you can do to improve how you live, work, or do simple things. Thomas Edison exemplifies this mindset very well. He often presented his lab assistants with the following challenge. He would hand them some ordinary item (like an iron or a fountain pen) and say "There's a better way. Find it." Adopt that mentality in your life. Whatever you're doing ask whether there is a better way: easier, more efficient, more effective.

7. Learn about design thinking. Lastly, you may want to learn about design thinking. I've made a few resources available that provide a brief introduction to the basic ideas of design. The important feature is to solve problems with the end user in mind. When you're trying to solve a problem be sure you understand for whom you are solving it and what their needs are. That will allow you to focus on the best solutions given what they're facing.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Problem solving strategies are required in solving the problems that we face everyday. To solve a particular problem, we've to understand the problem, devise a plan that will be used in carrying out the problem and then implement the solution.

Problem solving strategies refer to the methods that are used by an individual in the solving of problems. An individual can be faced with challenges at their place of work or at home. In order to solve such problems, it's necessary to have a problem solving strategy in place.

Firstly, one needs to under the problem. Then, one has to find potential solutions to the problem and the best solution out of the alternatives would be chosen. The chosen solution would then be implemented.

Problem solving strategies are also required in mathematics. In order to solve a particular mathematics question, one needs to understand the problem first and find the solution to the problem.

In conclusion, problem solving strategies are required by everyone to solve the challenges that we face.

Read related link on:

https://brainly.com/question/24511305

what is the solution to the equation 9x+27=9( x+2) +9

Answers

Let's solve the equation:

9x + 27 =  9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2

9x + 27 = 9x + 18 + 9 ← Combine like terms

9x + 27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

0 = 0  

{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}

hope this helps..........

Answer:

x=1

Step-by-step explanation:

9x+27=9(x+2)+9

9x+27=9x+18+9

9x+27=9x+27

9x=9x

x=1

In January 2013, a country's first-class mail rates increased to 52 cents for the first ounce, and 23 cents for each additional ounce. If Sabrina spent
$1742 for a total of 48 stamps of these two denominations, how many stamps of each denomination did she buy?
She bought
of the 52 cent stamps and
of the 23 cent stamps.

Answers

Answer:

She bought

22 of the 52 cent stamps and

26 of the 23 cent stamps.

Step-by-step explanation:

Given :

Total stamp increase = 48

Let number of 52 cent stamp = x

Number of 23 cent stamp = 48 - x

The cost equation :

0.52*x + 0.23*(48-x) = 17.42

0.52x + 11.04 - 0.23x = 17.42

0.52x - 0.23x = 17.42 - 11.04

0.29x = 6.38

x = 6.38 / 0.29

x = 22

Hence,

She bought 22 ; 52-cent stamps

And (48 - 22) = 26, 23-cent stamps

A farmer wants to fence a rectangular area adjacent to a straight river with an extra partition running perpendicular to the river. If he has 3000 yards of fencing and no fencing is needed alone the river, then what is the maximum area he can enclose

Answers

Answer:

the maximum area enclosed = 1125000sq. ft.

Step-by-step explanation:

Let each side perpendicular to the river be "x".

Then the side parallel to the river is "3000-2x".

Now, area of the rectangle

A(x) = (3000-2x)x

A(x) = -2x^2+3000x

Which is a quadratic equation with a = -2 and b = 3000

Maximum area occurs where x = -b/2a

x = -3000/(-2×2) = 750 ft.

Therefore, width of rectangle x = 750 ft

Now, length = 3000-2(750) = 1500 ft.

Therefore, the maximum area enclosed = 1500×750 =  1125000 sq. ft.

Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find the two Numbers? show working​

Answers

Answer:

[tex]14\text{ and }16[/tex]

Step-by-step explanation:

Let the smaller number be [tex]x[/tex]. Since they are consecutive even numbers, the larger number can be represented by [tex]x+2[/tex].

Therefore, we have the following equation:

[tex]8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}[/tex]

Thus, the larger number is [tex]x+2=\boxed{16}[/tex]

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+239x+127

Answers

Answer:

7.47 seconds

Step-by-step explanation:

From the quadratic equation  the x coordinate of the vertex is

x = -b/(2a)

---------------------------

y = -16x² + 239x + 127

x = -239/ ( 2 * (-16) )

x = -239 / (-32)

x = 7.46875

Rounded

x = 7.47

What is the exponent for x when the radical 18 is simplified completely?

Answers

Answer:

x⁶

Step-by-step explanation:

[tex]\sqrt[3]{x^{18}}=x^{18/3}= x^6[/tex]

Pls help will give branilyest

Answers

Answer:

11 1/5

Step-by-step explanation:

I put into a calculator lol

All you need to do is find the lCM of the fractions and convert it into inproper numbers. Then you add all the fractions (don’t add the denominators only add the numerator) this way you should get the answer. Finally you can convert the answer to inproper number or mixed fraction.

If helped mark me the brainiest!!

Find the next two geometric terms 3/20, 1/5, 4/15,

Answers

Answer:

a_5 = 1,500

Step-by-step explanation:

1. Determine the given of the problem.  

       a_n – unknown sequence  

        a_1 – 3/20  

        r – ((3⁄2)/(3⁄20)) = 10  

        n – 5  

2. Substitute the given to the formula of the geometric sequence.  

           a_n = a_1 r^(n-1)

           a_5 = (3/20) (10)^(5-1)

3. Solve the given problem.  

           a_5 = (3/20) (10)^(5-1)       - Subtract the exponent.  

           a_5 = (3/20) (10)^(4)          - Multiply 1/10 to the exponent.  

           a_5 = (3/20)(10000)          - Multiply it.  

           a_5 = (30000/20)             - Divide it.  

           a_5 = 1,500                       - Answer of the problem.

the answer is 1500

correct me if you want

Please help, I’m so lost question in picture

Answers

It’s the last one with 8*y+ 8*5

Last Monday local mall carriers delivered 1,344 pieces of mail. Of all the deliveries they made, 1/6 were magazines, 1/12 were packages, and the rest were letters. How many letters did the mail carriers deliver on Monday?

Answers

Answer:

1008 letters were delivered on Monday

Step-by-step explanation:

Total mail received = 1344

1/6 were magazines

1/12 were packages

the rest were letters

We have to find the exact number of magazines and packages received

Magazines = 1/6 of the total mail

Magazines = 1/6 × 1344

= 224 magazines

Packages = 1/12 of the total mail

Packages = 1/12 × 1344

= 112 packages

So now that we know the exact number of packages and magazines

We add those two numbers and subtract the result from the total mail

And the remainder is the letters delivered

Magazines = 224

Packages = 112

Magazines + Packages

224+112 = 336

Therefore, the letters received = 1344 - 336

= 1008

Which means that 1008 letters were delivered

Find the slope of the line
(4,4) (-5,-2)

Answers

Answer:

m = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

m = slope

m = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]            

m = [tex]\frac{-2-4}{-5-4}[/tex]

m = [tex]\frac{-6}{-9}[/tex]

m = [tex]\frac{6}{9}[/tex]

m = [tex]\frac{2}{3}[/tex]

Which of the following is a point-slope equation of a line that passes through
the points (10,5) and (4, -7)?
A. y-5= 2(x-10)
B. Y-5 = -2(x-10)
C. y-10 = 2(x-5)
D. y-10 = -2(x-5)

Answers

Answer:

A

Step-by-step explanation:

m = Y2 - Y1/ X2 - X1

m= -7 - 5/ 4 - 10

m = -12/ -6

m = 2

y - y1 = m ( x - x1)

y - 5 = 2 (x - 10)

How can the general term for the sequence shown below be defined for an, where n is a positive integer?
4, 11, 18, 25, ...

Answers

Answer:

25, 32

Step-by-step explanation:

4 - 11

7

11- 18

7

it is increasing by 7 so what is 25 plus 7?

32

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A light wave traveling through glass strikes the boundary with a second medium at a 45 angle and then refracts away from the boundary. What could the second medium be?A.WaterB.AirC.DiamondD.Glass Plz im begging you for a answer, my teacher is checking my progress!!!!!!!!!!!!!!!!!!!!!!!!!Anthropologists have concluded that modern day humans originated from the continent of Africa. Looking at the distribution of skin tones we now see all over the world today explain why this pattern is makes sense for what we see today. MUST USE AND HIGHLIGHT THE FOLLOWING KEY TERMS: variation, direct sunlight, UV radiation, Vitamin D, folate (folic acid), equator, evolution, parents, offspring, Africa, survival, natural selection, genes, latitude, adapt/adaptation HELP QUICK I NEED ANSWER A website posts evaluations on airlines. It posts the most positive and the most negative comments for each airline. Discuss the usefulness of this feedback for a reader wanting to know about the airline. choose the correct statement below. SELECT ALL THAT APPLY:A. The reader can accurately assess the airline based on the posted evaluations. B. the reader cannot accurately assess the airline because the evaluations are not necessarily representative of all evaluations. C. the reader cannot accurately assess the airline because the method of choosing the sample is unclear. D. the reader cannot accurately assess the airline without reading all the evaluations. I need help I put 30 points for whoever helps me Explain what happens to an animal cell when it removed from an organism and placed into distilled water what is the ratio of 20cm to 1m One of the major risk areas in advertising a listed property is that an advertisement will How can unicellular organism be classified as an eukaryotic cell? (120+2x)+(70+2x)=15,000 not angles, area. also foiling Which of the following would eat a dead rabbit? Herbivore Carnivore Omnivore DetritivorePlease help Write a numerical expression for the verbal expression. fourteen decreased by three times four A test is on Thursday morning and a student wants to study all day for three days that week to prepare. What is the BEST schedule for them to use?A. Monday, Tuesday, and WednesdayB. Sunday, Monday, and TuesdayC. Saturday, Monday, and Wednesday PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE Donna bought 5 bags of dog treats for $10.65. What is the cost per bag of dog treats? [tex]\sqrt{x} +3=9[/tex] To evaluate whether or not the intake of a vitamin or mineral is adequate, comparisons are made between the intake distribution and the requirement distribution. Here is some information about the distribution of vitamin C intake, in milligrams per day, for women aged 19 to 30 years: Percentile (mg/d)Mean 1st 5th 19th 25th 50th 75th 90th 95th 99th84.2 31 43 47 60 79 103 126 141 180Use the 5th, the 50th, and the 95th percentiles of this distribution to estimate the mean (0.01) and standard deviation (0.01) of this distribution assuming that the distribution is Normal. = _________ = _________ Need the answer ASAP!!!Select the correct answer.A student puts a glass of water in the freezer. Later, he notices ice forming on the surface of the water. Which property of water best explainswhy ice forms on its surface?OAIce has more surface tension than liquid water,OB.Ice is less dense than liquid water.OC.Ice has a lower freezing point than liquid water.ODIce is more cohesive than liquid water.O E.Ice can dissolve more oxygen than liquid water. If x = -2, y = 3 and t = 2 then (x/y)t = What are the non-living components of an ecosystem?