Answer:
x = 6
Step-by-step explanation:
Add 12 to each side, so it now looks like this: 5x = 30Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x = 6I hope this helps!
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
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.
Learn more:
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Question One
There are 7 linomen, 2 running backs, 1 fullback, and 1 quarterback on an American football team. What is the ratio, in simplest form,
of the number of linemen to the total number of players on the team?
A
1:2
B.
2:7
С
7:11
11:2
Question Two
Answer:
7:11
Step-by-step explanation:
No of linemen = 7
No of running backs = 2
No of fullback = 1
No of quarterback =1
The total no of players on the team = 7+2+1+1 = 11
We need to find the ratio of the number of linemen to the total number of players on the team.
R = 7/11
or
R = 7:11
Hence, the required ratio is 7:11.
Даны векторы "а" ⃗ (10;2)и "b" ⃗ (1;-1). Выполните действие над векторами:
а) 0,5"а" ⃗+ 5b ⃗
б) "а" ⃗- b ⃗
в) "а" ⃗+ b ⃗
применяет правила сложения векторов
применяет правила вычитания векторов
применяет правило умножения вектора на число
СРОЧНО ПЖ СОР
Answer:
he is the number of people
Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
Answer:
The perimeter of the figure is : 22.4 cm
The area of the figure is : 30.2 cm²
Step-by-step explanation:
From the diagram, the figure is a rectangle.
Use the coordinate points to find the lengths of each side.
Side length AD = side length BC
Apply the Pythagoras relationship to find length BC as;
a² + b²= c² where a=2 cm and b = 4 cm and c =BC
2² + 4² = c²
4+16 = c²
20 = c²
c= √20 = 4.4721
Length BC = Length AD = 4.5 cm
Side length AB = Side length DC
Apply the Pythagoras relationship to find length DC as;
a² + b²= c² where a=6 cm and b = 3 cm and c =DC
6² + 3² =c²
36 + 9 = c²
45 = c²
√45 = c
c= 6.7082
c = DC = 6.7 cm
Now you have measurements of the rectangle as;
Length = 6.7 cm and width = 4.5 cm
The perimeter will be ;
P= 2{l +w} --------- where l is length and w is width and P is perimeter of the rectangle
P=2{6.7 + 4.5}
P=2{11.2}
P= 22.4 cm
The area will be ;
A= l*w
A= 6.7 * 4.5 = 30.15 = 30.2 cm²
The perimeter of the figure is : 22.4 cm
The area of the figure is : 30.2 cm²
Answer:
its wrong
Step-by-step explanation:
What is 0.22778 as a percentage
Answer:
22.778%
Step-by-step explanation:
0.22778/1*100/100=22.778/100
The given table values represents a liner equation. What is the slope?
A. 2
B. 3
C. 1
D. 4
Answer:
A. 2
Step-by-step explanation:
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use any two points given in the table of values. Let's use (1, 5), (3, 9)
Let,
[tex] (1, 5) = (x_1, y_1) [/tex]
[tex] (3, 9) = (x_2, y_2) [/tex]
Plug these values into the slope formula:
[tex] slope (m) = \frac{9 - 5}{3 - 1} [/tex]
[tex] slope (m) = \frac{4}{2} [/tex]
[tex] slope (m) = 2 [/tex]
How to estimate the sums and differences
A = 2772 +2nrh
The surface area, A, of a cylinder of radius, r, and height, h, can be found with the equation
above. Which of the following correctly
shows the cylinder's height in terms of its radius and
surface area?
A
hr
27
А
h-
r
2πY
h=r-
+
А
h=
Answer:
A÷2πr=h
Step-by-step explanation:
Area=2πrh
making h the subject = A÷2πr=h
How do you do this question?
Answer:
convergent
Step-by-step explanation:
the function increases or decreases or as the number of terms of the series increases.
Answer:
Divergent
Step-by-step explanation:
The series can be written as:
∑ 1 / (4n − 1)
We can compare this to 1 / (5n). 1 / (5n) is smaller and diverges (p-series test). Therefore, the larger function also diverges.
Which equation has no solution? plsss helpppp
Answer:
Step-by-step explanation:
b
HELP!!!
Ten hours after a runner and cyclist leave the house at the same time and head in the same direction, the cyclist is 150 miles ahead of the runner. If the cyclist's speed is seven mph more than twice the speed the speed of runner, find the speed of the runner and the cyclist.
Speed of runner:
mph
Speed of cyclist:
mph
Answer:
8 mph and 23 mphStep-by-step explanation:
Let the speed of runner be r and speed of cyclist be c
Time = 10 hoursDifference in distance = 150 mWe have following equations based on the given
10c - 10r = 150c = 2r + 7Simplifying first equation
c - r = 15c = r + 15Comparing this with second equation
2r + 7 = r + 152r - r = 15 - 7r = 8 mphAnd finding the value of c
c = 8 + 15 c = 23 mphThe body of 150lb person contains 2.3x10-4 lbs of copper. How much copper is contaned
What is the square root of 144444444453?
Answer:
380058.475044
Answer:
Step-by-step explanation:
380058.475044
A recipe uses 5 cups of flour for every 2 cups of sugar.
How much flour is used for 1 cup of sugar
Answer:
2.5
Step-by-step explanation:
If the ratio is 5:2, then you just have to divide 5 / 2.
5 / 2 = 2.5
Answer:
If 5 cups of flour= 2 cups of sugar
1 cup=1×2/5
=2/5
Step-by-step explanation:
> 34.06
A.
18.058
B.
34.060
C.
35.13
D.
43.05
E.
54.06
Answer:
The answer would be C Hope this helps :)
Step-by-step explanation:
Answer:
C, D, E
Step-by-step explanation:
A. and B. are both less than or equal to 34.06. The others are greater than 34.06
can be tested by subtracting 34.06 by the other numbers and with a negative result, it is greater than 34.06. for example 34.06 - E. (54.06) = -20
so E(54.06) is greater than 34.06. If you couldn't already tell.
B is incorrect because it is equal to 34.06. A also is incorrect. This is because it is less than 34.06. 34.06 - A.(18.058) = 16.002. The result of a positive number means it is less than the number on the right of the inequality sign.
University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science)=0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts)=0.6 . The study also shows that the probability a student gets no degree is P(no)=0.2 .
A - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.3.
b) 0.6.
c) 0.1.
d) 0.2.
B - The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is:
a) 0.9.
b) 0.3.
c) 0.6.
d) 0.8.
C - The probability a student gets only a Bachelor of Arts degree is:
a) 0.1.
b) 0.5.
c) 0.3.
d) 0.6.
D - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.5.
b) 0.1.
c) 0.3.
d) 0.2.
E - If getting a Bachelor of Science degree is independent of getting a Bachelor of Arts degree, the probability of getting a Bachelor of Arts and Science degree is:
a) None of the answer options are correct.
b) 0.18.
c) 0.1.
d) 0.2.
Answer:
(A) c) 0.1
(B) a) 0.9
(C) b) 0.5
(D) b) 0.1
(E) b) 0.18
Step-by-step explanation:
Given;
P(science) = 0.3
P(Arts) = 0.6
P(no degree) = 0.2
(A) The probability a student gets a Bachelor of Arts and Science degree;
= 1 - [P(science) + P(Arts)]
= 1 - (0.6 + 0.3)
= 1 - 0.9
= 0.1
(B) The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is
= P(Science) + P(Arts)
= 0.3 + 0.6
= 0.9
(C) The probability a student gets only a Bachelor of Arts degree is
= P(Arts ) - P(Science and Arts)
= 0.6 - 0.1
= 0.5
(D) The probability a student gets a Bachelor of Arts and Science degree is:
1 - [P(science) + P(Arts)]
= 1 - (0.6 + 0.3)
= 1 - 0.9
= 0.1
(E) Independent case
= P(Science) and P(Arts)
= 0.3 x 0.6
= 0.18
Systems of equations. Will give brainlest!
Answer:
Step-by-step explanation:
Michael is renting a bicycle for $12 per hour. How many cents per minute?
Answer:
0.20
Step-by-step explanation:
(9, - 4) and (5, 3) In simplest radical form
Answer: 33
Step-by-step explanation:
(9,-4) and (5,3)
=9*5+(-4)*3
=33
consider the figure below. which of the following lines are parallel? justify your answer.
Answer:
1. r1 || r2 because of the same side or consecutive interior theorem
2. l1 || l2 because they are corresponding angles
The angle formed between two parallel lines having a common transversal have several common properties
The correct responses are;
1. Lines r₁ and r₂ are parallel
2. Lines, l₁ and l₂ are parallel
lines r₁ and r₂, are parallel
The reason why the given lines are parallel are as follows:
1. The given figures are presented as shown in the attached diagram
From the diagram, we have that the same side interior angles formed by the common transversal l₂ the lines r₁ and r₂ are 63° and 117°, which are supplementary angles (63° + 117° = 180°)
Therefore, lines r₁ and r₂ are parallel given that same side interior angles formed by two parallel lines having the same transversal are supplementary
2. From the attached diagram, we have;
The alternate exterior angles formed between the lines, l₁ and l₂ that have the common transversal r₁ are equal, therefore;
Lines, l₁ and l₂ are parallel, given that the alternate exterior angles formed by two parallel lines having a common transversal are equal
From the diagram, we also have that the other angle of the linear pair angle with the 63° angle is 117°, and the second angle of the linear pair angle is both either corresponding angle and alternate interior angle with the given 117°
Therefore, lines r₁ and r₂, are parallel given that corresponding angles and the alternate interior angles formed between parallel lines having a common transversal are equal
Learn more about the angles formed between parallel lines having a common transversal here:
https://brainly.com/question/15937977
Anybody Know This. ?
The last awnser is 1/21 btw pls help me thank u if you do and u get brainles
Answer:
2/121, 1/121
Step-by-step explanation:
Problem 1:
We have the following letters in the bag:
P R O B A B I L I T Y
There is a total of 11 letters.
If we select B, we have a 2/11 chance to get it. If we then replace it and select A, we have a 1/11 chance to select it.
Thus we have a (2/11) * (1/11) chance to get that combination,
Which is 2/121.
---------------------------------------------------------------------------------
Problem 2
We have the following letters in the bag:
P R O B A B I L I T Y
There is a total of 11 letters. If we select P, we have a 1/11 chance to get it. If we then replace it and select L, we have a 1/11 chance to select that.
Thus we have a (1/11) * (1/11) chance to get that combination,
Which is 1/121.
Alison is preparing for a math contest. Each day, she works on multiplication problems for 10 minutes and division problems for 30 minutes.
How many minutes does Alison practice multiplication and division problems in 10 days?
Alison practices multiplication and division problems for blank minutes in 10 days. the answer is 400
Answer:
it's 400-
Step-by-step explanation:
total minutes a day is 40, multiplied by 10 days
A zoo has 96 chickens and ducks altogether.
The ratio of the number of chickens to the
number of ducks is 53. How many chickens
does the zoo have?
Answer:
The zoo has 43 chickens.
Step-by-step explanation:
I did the math. Teehee ur welcome :)
help plz
i need help
Answer:
ill help you with my long shalong
Step-by-step explanation:
If the equation were 6x + 2 = 5x + 17, would there be one unique solution? What is it, and what would it mean in terms of the situation?
Answer:
15
Step-by-step explanation:
6x +2 =5x +17
6x - 5x =17 - 2
x =15
unique solution
for factoring zero how do i solve? 3x^2-12x=0
The ruler is marked at every 1/16 inch. Do the labeled measurements convert to repeating or terminating decimals?
Answer:
Terminating
Step-by-step explanation:
1/16=0.0625, 1/8=0.125, 1/4=0.25, 1/2=0.5; which are all terminating.
Here is a system of equations: 7x-4y=-11
7x+4y=-59 would you rather use addition or subtraction to solve this system. Explain your reasoning.
Answer:
Addition
Step-by-step explanation:
Better to use addition since you already have a -4y and +4y. So if you add them together it will cancel out!
x = -5 and y = -6.
We can use either of the addition or subtraction as both will involve the same process of solving the equation.
We have a system of equations -
7x - 4y = - 11
7x + 4y = - 59
We have to investigate on the process of solving these equations.
What do you mean by System of Linear equations?A system of linear equations is a collection of one or more linear equations involving the same variables.
According to the question, we have -
7x - 4y = - 11
7x + 4y = - 59
We would subtract second equation from first as follows -
7x - 4y - (7x + 4y) = - 11 - (- 59)
7x - 4y - 7x - 4y = -11 + 59
-8y = 48
y = - 6
therefore -
7x - 4y = - 11
7x - 4(- 6) = -11
7x + 24 = -11
7x = -11 - 24
7x = - 35
x = -5
Hence, x = -5 and y = -6.
We can use either of the addition or subtraction as both will involve the same process of solving the equation.
To solve more questions on System of Linear equations , visit the link below-
https://brainly.com/question/17053411
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2/3x + 2/3 + 1/5x = 2/3x
Does it have one solution, no solution, or infinity many solutions?
Answer:
One solution
Step-by-step explanation