1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariulka [41]
3 years ago
7

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?
Mathematics
1 answer:
zhuklara [117]3 years ago
3 0

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

p = 0.2*0.25 = 0.05

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:

0.05 + 0.05*0.8 + 0.75*0.2 = 0.24

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

You might be interested in
Will mark brainliest if correct answer only <br><br><br><br><br>All,some,or no ​
NeTakaya

Answer:

some

Step-by-step explanation:

8 0
2 years ago
Find Sin (BAC+30) 80POINTS
Ann [662]

Answer:

\dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}

Step-by-step explanation:

<u>Trigonometric Identities</u>

\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

  • \cos (\angle BAC)=\dfrac{12}{20}
  • \sin (\angle BAC)=\dfrac{16}{20}

<u>Angles</u>

\sin (30^{\circ})=\dfrac{1}{2}

\cos (30^{\circ})=\dfrac{\sqrt{3}}{2}

Therefore, using the trig identities and ratios:

\begin{aligned}\sin (\angle BAC + 30^{\circ}) & = \sin (\angle BAC) \cos (30^{\circ})+\cos (\angle BAC) \sin (30^{\circ})\\\\& = \dfrac{16}{20} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{12}{20} \cdot \dfrac{1}{2}\\\\& = \dfrac{16}{40}\sqrt{3}+\dfrac{12}{40}\\\\& = \dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}\end{aligned}

3 0
1 year ago
Read 2 more answers
What is the slope of a line parallel to the line whose equation is x-y=-3?
lapo4ka [179]

Answer:

1

Step-by-step explanation:

slope must be same because it is paralel

6 0
2 years ago
Write g(x)=4x^2+88 in vertex form
umka21 [38]

Answer:

y

=

4

(

x

+

11

)

2

−

484

Step-by-step explanation:

5 0
3 years ago
5/7 = x/11 round your answer to the nearest tenth.
Scilla [17]

Answer:

7.9

Step-by-step explanation:

Multiply both sides of the equation by 11. This cancels out the fraction so 11 * 5/7 = x

lmk if I misunderstood the question or need to elaborate

6 0
3 years ago
Read 2 more answers
Other questions:
  • The table shows ordered pairs of the function y=8-2x What is the value of y when x = 8?
    15·1 answer
  • What is 5/6 of 24<br> Help?
    9·2 answers
  • Show the working for 32.2x62.1
    11·1 answer
  • Helppp????????????????
    12·1 answer
  • Ken drives a taxi cab and receives $100 a day plus $0.50 for every mile he drives. He is saving up for a new television that cos
    10·1 answer
  • 6÷2 (1+3)= what is the answer to this problem and why I say 1. some say 9.
    8·2 answers
  • A rectangular parking lot has a perimeter of 820 ft. the area of the parking lot measures 42,000 ft^2. what is the width of the
    12·1 answer
  • Help please I am not the brightest.
    11·1 answer
  • 12. A quality control procedure at a manufacturing facility involves selecting 5 items at random from a large batch, and then ac
    9·1 answer
  • Answer #5 for me . I'll give brainliest !​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!