A sample of employees of Worldwide Enterprises is to be surveyed about a new health
care plan. The employees are classified as follows:
Classification Event Number of Employees
Supervisors A 120
Maintenance B 50
Production C 1,460
Management D 302
Secretarial E 68
(a) What is the probability that the first person selected is:
(i) either in maintenance or a secretary?
(ii) not in management?
(c) Are the events in part (a)(i) complementary or mutually exclusive or both
Answers
Using the probability concept, it is found that:
a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.
ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.
b) The events are neither complementary nor mutually exclusive.
A probability is the number of desired outcomes divided by the number of total outcomes.
Item a:
In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.
Of those, 50 + 68 = 118 are either in maintenance or a secretary, hence:[tex]p = \frac{118}{2000} = 0.059[/tex]
There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.
Item ii:
2000 - 302 = 1698 people are not in management, hence:
[tex]p = \frac{1698}{2000} = 0.849[/tex]
There is a 0.849 = 84.9% probability that the first person selected is not in management.
Item b:
If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.
To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717
Following are the solution to the given points:
For point a:
i)
[tex]\to P(B \cup E) = P(B) + P(E) - P( B\cap E)[/tex]
Where [tex]P(B \cap E) = 0[/tex] because they are both separate occasions It is impossible to be a member of both departments.
[tex]\to P(B\cup E) =\frac{50}{120 + 50 + 1460 + 302 + 68} +\frac{68}{120 + 50 + 1460+ 302 +68}\\\\[/tex]
[tex]=\frac{50}{2000} +\frac{68}{2000}\\\\=\frac{50+68}{2000} \\\\=\frac{118}{2000} \\\\=\frac{ 59}{1000} \\\\=0.059\\[/tex]
ii)
[tex]\to P(D^c) = 1 - P(D)[/tex]
[tex]=1- (\frac{302}{120+50+1460+302+68})\\\\=1- (\frac{302}{2000})\\\\=1- (\frac{ 151}{1000})\\\\= 1- 0.151 \\\\= 0.849\\\\[/tex]
For point b:
Please find the attached file.
For point c:
Events in a. I are mutually incompatible since [tex]P(B \cap E) = 0[/tex]. One would be a part of the both departments.
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Related Questions
Why did I get this wrong?
Answers
Step-by-step explanation:
12 / x¹⁴ = 12x⁻¹⁴
Integrate using power rule.
-12/13 x⁻¹³
-12 / (13x¹³)
You forgot the negative sign.
A bride is choosing a dress for her bridesmaids. If there are 4 styles, 7 colors, and 5 fabrics, in how many ways can she select the bridesmaids' dress?
Answers
Answer: 60
Step-by-step explanation: multiply 4,7,and 5
She can select the bridesmaids' dress in 140 possible ways.
What is Permutation?Permutation represents each of the several possible ways in which a set or number of things can be ordered or arranged.
Given is a bride who is choosing a dress for her bridesmaids which are available in 4 styles, 7 colors, and 5 fabrics.
Now, for every possible style there exist a dress for that color. So, with 4 styles and 7 colors, the total number of possible dresses will be = 7 x 4 = 28. Now, for these 28 dresses, their are 5 different fabric available, so the total number of possible ways or dresses from which she can select the dress are = 28 x 5 = 140
Therefore, she can select the bridesmaids' dress in 140 possible ways.
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What is the volume of a sphere with a radius of 7 centimetres?
Use 3.14 for pi. Round your answer to the nearest hundredth. Use the formula provided.
V=
1077.02 cm3
1436.03 cm3
1975.43 cm3
11,494.04 cm3
Answers
Answer:
[tex]V=1436.03 \ cm^3[/tex]
The second choice provides the correct answer.
Step-by-step explanation:
The Volume of a Sphere
The volume of a sphere of radius r is given by:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
The radius of the sphere is r=7 cm, thus:
[tex]\displaystyle V=\frac{4}{3}\cdot 3.14\cdot 7^3[/tex]
[tex]V=1436.03 \ cm^3[/tex]
Note: We have used an approximated value for pi=3.14.
The volume of the sphere rounded to the nearest hundredth is
[tex]\boxed{V=1436.03 \ cm^3}[/tex]
The second choice provides the correct answer.
There are 100 students enrolled in our school. 3/5 of the students are boys. How many students are girls?
Answers
Answer:
2/5 are girls so 40
Step-by-step explanation:
100 divided by 5 is 20.
BOYS: 20 x 3= 60
GIRLS: 20 x 2= 40
60+40=100
Hope this helps (:
Haper is saving money to buy a new camping tent. Each week he double the amount he saved the previous week. If he saved 1$ the first week how much will he save in 7 weeks
Answers
Answer: $49
Step-by-step explanation: if there are 7 days in a week and he is saving for 7 weeks, its 7 x 7= 49
Answer:
64$ if he doinles
Step-by-step explanation:
1,2,4,8,16,32,64
-3x/2+4=16
What is x?
Answers
Answer:
-8
Step-by-step explanation:
-4 both sides & 16-4 is 12.. -3/2x equals 12 so to solve for x, you would multiply 2 by both sides. You end w -3x equals 24. You then divide -3 both sides and 24/-3 is -8... hopee that helps? :)
Please help ASAP
Thank you
Answers
A 2
B 4
C 3
D 4 simplified is 2
E 6 simplified is 3
An investment account earns 4% the first year, 5% the second year, and X% the third year. Find X if the three year average interest rate is 10%.
Answers
Answer:
The answer is 1 percent because if you add the 5% and 4% you get 9% and all there is left of the average interest 10 and get 1
Step-by-step explanation:
May i please get Brainiest
Express as a trinomial.
(x + 1)(3x − 2)
PLEASE HELP :)
Answers
Answer:
3x^2+x-2
Step-by-step explanation:
On interval 0 ≤ x < 2π, where are the x-intercepts of y = cos(2x)?
A. pi/2 and 3pi/2
B. 0, pi, and 2pi
C.pi/2, pi, and 3pi/2
D.pi/2, 3pi/4, 5pi/4, and 7pi/4
Answers
Answer:
Choice D:
π/2, 3π/4, 5π/4, and 7π/4
Step-by-step explanation:
correct on edg
The solution of the equation y = cos(2x) will be π/4, 3π/2, 5π/4, and 7π/4. Then the correct option is D.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
y = cos(2x)
The x-intercept of the equation in the interval 0 ≤ x < 2π will be given as,
y = 0
cos(2x) = 0
cos 2x = cos (n + 1) π/2
2x = (n + 1)π / 2
x = (n + 1)π / 4
x = π/4, 3π/2, 5π/4, 7π/4
The solution of the equation y = cos(2x) will be π/4, 3π/2, 5π/4, and 7π/4. Then the correct option is D.
More about the solution of the equation link is given below.
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In ΔTUV, t = 6.6 inches, ∠U=71° and ∠V=36°. Find the length of u, to the nearest 10th of an inch.
Answers
Answer:
6.5
Step-by-step explanation:
\text{A.S.A.}\rightarrow \text{Law of Sines}
A.S.A.→Law of Sines
\frac{a}{\sin A}=\frac{b}{\sin B}
sinA
a
=
sinB
b
From reference sheet.
\text{Find other angle:}
Find other angle:
\angle T=180-71-36=73^{\circ}
∠T=180−71−36=73
∘
T
U
V
t = 6.6
u = ?
71°
36°
73°
\frac{u}{\sin 71}=\frac{6.6}{\sin 73}
sin71
u
=
sin73
6.6
Plug in. Opposite sides go together.
u=\frac{6.6\sin 71}{\sin 73} \approx 6.526 \approx 6.5
u=
sin73
6.6sin71
≈6.526≈6.5
Solve for the side and evaluate.
Answer:
6.5
Step-by-step explanation:
deltamath
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If You Know The Answer Help :)
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Answer:
0.3
Step-by-step explanation:
Answer:
3/20
Step-by-step explanation:
1/5=4/20
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Hope this helps!
x/5-g=a isolate x PLS
Answers
x=5(a+g)
if i misunderstood isolate let me know!
Write out the correct word form of each number.
10) 8,924,600.32
11) 707.91
12) 641,971.44
Answers
Seven hundred seven and ninety-one hundredths
6 hundred forty-one thousand nine hundred seventy-1 and 44 hundredths
If 120 customers have bought tickets today, how many free tickets has the manager given away
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Please help me answer this
Answers
Answer:
the first.option is the right answer
PLEASE HELP ME ANSWER THIS
True or False. The domain of the product function (fg (x) consists of all numbers that belong to either the domain of f or the domain of g. Justify your answer.
Answers
Answer:
True
Step-by-step explanation:
We want to identify whether the statement that domain of the product functions affects time. You, Becks, consists of all the numbers that are either in the tomato f or in the is correct or not. So, actually, this one is not correct. So we can analyze this in this way. So the product function a makes sense only after effects. And you it means that the domain of the function just consists of on the real numbers that are either not either that our posts in events endeavor. But we can't give a counter example which X equals two. We're back and you're that equals two square. The effort that time is equal to hey, Rita finds the spirit of so consider the case. X equals to one so x equals to one is in the domain of effort. However, the squared of negative one doesn't make any sense. So we still cannot compute the product function every time. So it's not okay to just that acts to be either in the debate over or in the demand, ex have to be imposed the domain of Kiev and effort.
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Answers
Answer: Yes you can but it would be the same as dividing 10 by 3, it would just be a repeating fraction
Answer:
I can’t divide 2 by 9 because the number 9 is greater than 2. In other words, there are no 9s in 2
Step-by-step explanation:
9x - 4= 2x + 3
-—-——-—-
Answers
Answer:
x = 1
Step-by-step explanation:
9x−4=2x+3 Move all terms containing x to the left side of the equation.
7x−4=3 Move all terms not containing x to the right side of the equation.
7x=7 Divide each term by 7 and simplify. x = 1
Find the slope in fraction form
Answers
Answer:
-1/3
Step-by-step explanation:
Taking two points on the graph (I took (0,9) and (6,7)
Slope=(y2-y1)/(x2-x1)
(7-9)/(6-0)=-2/6
=-1/3
Gina read 120 pages in 4 days. Which reading rate is equivalent?
Answers
Answer:
Gina reads 30 pages per day.
Step-by-step explanation:
120 / 4 = 30
I hate to ask, but please give me Brainliest. I need it to level up <3.
Answer:
Gina reads 30 pages per day.
Step-by-step explanation:
The mass of a teapot and 4 cups is 1,280 grams. The mass of the same teapot and 10 cups is 2,720 grams. Each cup has the same mass. What is the mass?
Answers
The mass per cup for the objects will be 320g and 272g respectively.
What is mass?Mass simply means the weight that an object contains.
The mass of a teapot and 4 cups is 1,280 grams. The mass per cup will be:
= Mass / Number of cups
= 1280 / 4
= 320g
The mass of the same teapot and 10 cups is 2,720 grams. The mass per cup will be:
= 2720 / 10
= 272g
Learn more about mass on:
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-3 divided by 1/6 =
1. 18
2. -18
3. -2
4. -1/2
Answers
Answer:2. -18
Step-by-step explanation:
If f(x) = 7x, which of the following is the inverse of f(x)?
O A. f'(X) = x + 7
B. f1(x) = x - 7
O c. f'(x)
O d. f'(X) = 7x
SUBMIT
Answers
Answer:
x/7
Step-by-step explanatio
what is as big as an elephant but does not weigh as much as an elephant ill give a brainiest to the first correct answer
Answers
an elephant's shadow??
Jessica qent for a drive in a new car. She drove 204.8 miles in 4 hours. What was her speed
Answers
Answer:
Her speed was 51 mph per hour
Answer:
51.2 mph per hour
Step-by-step explanation:
Please help!
The access code to a houses security system consists of 8 digits. How many different codes are available if each digit can NOT be repeated?
Answers
a digit to place on this position since there are ten digits from 0 to 9, and this choice is
independent of all other positions since each digit can be repeated and there is no restriction on
how to choose digits.
So, we have 8 positions and each one is filled by a digit in 10 ways independently from each other,
therefore the total number of possible codes equals to ways it can be done for each independent
position multiplied altogether. This is 10 × 10 × … × 10 = 108
(100 million).
Answer: 108 different codes.
All six digits in the number are even one digit is used twice all other digits are used once the ones digit is 4 times the hundreds digit the tens digit id the difference of the ones digit and hundreds digit the same digit is in the tens place and hundreds thousands place the thousands digit is not zero
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Answer:
rffrefr
Step-by-step explanation:
does 9.03 + 10.71 – 6.8 =13.94
Answers
Answer:
No
Step-by-step explanation:
Let's break this down...
9.03+10.71 is 19.74 and subtracted by 6.8 it will be 12.94 not 13.94 so it is not correct
So the answer is No
Hope this helps!
Answer:
No, it is 12.94
Step-by-step explanation:
9.03 + 10.71 = 19.74, 19.74 - 6.8 = 12.94