En una compañía se realiza una encuesta a 200 personas, se encontró la siguiente distribución, en el uso de máquinas eléctricas, mecánicas y computadoras: Eléctricas 110, mecánicas 50, computadoras 60. Mecánicas y computadoras 25, eléctricas y computadoras 35, eléctricas y mecánicas 40. Las tres 20 y 60 nada. A) Encuentre el número de personas que o usan computadora. B) Que usen una maquina eléctrica pero no computadora. C) Que usen solo un equipo. D) Que usen mecánica y eléctrica pero no computadora. E) Cuantos no tienen ni maquina eléctrica ni mecánica.
Answers
Answer:
A) 140
B) 75
C) 80
D) 20
E) 80
Step-by-step explanation:
Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.
Comenzamos nombrando cada círculo:
E= personas que usan máquinas eléctricas
M= personas que usan máquinas mecánicas
C = personas que usan computadoras.
- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.
- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.
- En la intersección entre M y C restamos:
25-20=5
Entonces colocamos este 5 en esa región.
- En la intersección entre E y C restamos:
35-20=15
Entonces colocamos este 15 en esa región.
- En la intersección entre E y M restamos:
40-20=20
Entonces colocamos este 20 en esa región.
- En la región de E restamos:
110-20-20-15=55
Entonces colocamos este 55 en esa región.
- En la región de M restamos:
50-20-20-5=5
Entonces colocamos este 5 en esa región.
- En la región de C restamos:
60-15-20-5=20
Entonces colocamos este 20 en esa región.
Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)
Y ahora ya lo podemos usar para responder a las preguntas:
A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:
55+20+5+60=140
B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:
55+20=75
C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C
55+20+5=80
D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C
20
E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:
20´60=80
Related Questions
given the figure below find the value of x and z
Answers
Answer: X is do it yourself and y is do it yourself X is do it yourself and y is do it yourself
Step-by-step explanation:
Lolol
Which number is equivalent to 2^3x = 10
Answers
Answer:
5/4
Step-by-step explanation:
see steps below:)
Which description represents the equation 7x - 2 = 33?
1. Two less than seven times a number equals thirty-three.
2. Two times the quantity of seven less than a number equals thirty-three.
3. Seven less than two times a number equals thirty-three.
4. Seven times two minus a number equals thirty-three.
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
"1. Two less than seven times a number equals thirty-three."
»»————- ★ ————-««
Here’s why:
We are given the equation of [tex]\boxed{7x-2=33}[/tex].⸻⸻⸻⸻
[tex]\boxed{\text{Breaking the equation down:}}\\\\7x-2=33\\-------\\\rightarrow \text{'7x' - Seven times a number. The unknown value is 'x'.}\\\\\rightarrow \text{' - 2' - Minus 2.}\\\\\rightarrow \text{'= 33' - Equals 33.}\\---------\\\text{The phrase "'X' less than 'Y'" indicates:}\\\\Y - X \\---------\\\text{Two less than 7 times a number would be:}\\\\\boxed{7x - 2}[/tex]
⸻⸻⸻⸻
The first statement should be the appropriate statement for the given equation.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
beth walks 8 miles in 120 minutes. assume beth maintains a constant speed. what is the number of miles beth walked in one hour? i need helppp!!
Answers
Answer:
1 mile in 15 minutes
Step-by-step explanation:
Simply divide 120 by 8
120/8=15
The sails of two boats are pictured below. What is the value of y?
Answers
Answer:
C 70
Step-by-step explanation:
since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.
remember, the sum of all angles in a triangle is always 180 degrees.
so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore
y = 180 - 90 - 20 = 70
Which of the following rational numbers lies between 1/3 and 2/3?
Answers
24/48, 20/48, 18/48, 17/48
==========================================================
Explanation:
1/3 = 0.333 approximately
2/3 = 0.667 approximately
We're looking for values between 0.333 and 0.667
We can rule out choice A because 1 doesn't fit the description.
Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667
--------------------------
Choice B works because all the decimals shown below are between 0.333 and 0.667
24/48 = 0.50020/48 = 0.417 (approximate)18/48 = 0.37517/48 = 0.354 (approximate)the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME
Answers
[tex]25,28,32,37,43,50,58,67.[/tex]
[tex]\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Find the value of x.
Answers
Answer:
x = 16
Step-by-step explanation:
Angles in a triangle add up to equal 180
Hence, 9x - 8 + x + 10 + x + 2 = 180
^ ( note that we just created an equation that we can use
to solve for x )
We now solve for x using the equation created.
9x - 8 + x + 10 + x + 2 = 180
step 1 combine like terms
9x + x + x = 11x
-8 + 10 + 2 = 4
we now have 11x + 4 = 180
step 2 subtract 4 from each side
180 - 4 = 176
4 - 4 cancels out
we now have 11x = 176
step 3 divide each side by 11
176 / 11= 16
11x / 11 = x
we're left with x = 16
HELPP..........anyone
Answers
Answer:
(12, 12, 156) and (9, 9, 162)Step-by-step explanation:
Since AB = AC and the triangle is isosceles:
∠ABC ≅ ∠ACB3x² - 2x + 4 = 9x - 63x² - 11x + 10 = 0x = (11 ± √(121 - 4*3*10)/6x = (11 ± 1) / 6x = 2, x = 10/6The angles:
m∠B = m∠C = 9*2 - 6 = 12°m∠A = 180 - 2(12) = 156°m∠B = m∠C = 9(10/6) - 6 = 9°m∠A = 180 - 2(9) = 162°Which shows all the factor pairs of 27?
Answers
Answer:
The factors of 27 are 1, 3, 9, and 27 (๑・ω-)～♥”
Answer:
The factor of 27 are: 1, 27, 3, 9
Step-by-step explanation:
I need the answer Immediately before it’s due!!!!!!!!
Answers
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If you don't do a foreign language class in middle school, in high school will one be given to you? Is it a necessity?
Answers
Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)
Answers
Answer:
B) Maximums: (0, 1), (2π, 1);
Minimum: (π, -3)
Joy is making hand-painted ornaments for her family this year. Yesterday, she made 2 ornaments in 6 hours. This weekend, she plans to spend a total of 15 hours making ornaments.
If Joy works at the same rate, how many ornaments will she make this weekend?
Answers
Answer:
[tex]6h = 2[/tex]
[tex]15h = x[/tex]
cross multiplication
i got 5 as the answer
Of a group of 200 workers, 15 are chosen to participate in a survey about the number of miles they drive to work each week. What is the sample size?
A) 200
B) 15
C) 185
D) 0
Answers
Answer:
15 works were choosen to be the sample size. that means the answer is B.(BRAINLEST!!!)
Step-by-step explanation:
I have a question what is 3/4 × 4/5?
Answers
Answer:
3/5
Step-by-step explanation:
Because if you take 3/4 x 4/5 you can cross simplify the 4's in the equation and they cancel eachother out, so then u are left off with 3/1 x 1/5 and then you get 3/5
40 POINTS IF YOU ANSWER CORRECTLY!
PLEASE HELP
Solve for Y and give me the three major trig ratios for theta
SHOW YOUR WORK
Thank you!
Answers
Answer:
Step-by-step explanation:
y is 15.49
Formula is b = √c^2-a^2
You could use sine [ opposite/hypotenuse ],
Cosine [adjacent/hypotenuse]
or Tangent [ opposite/adjacent ]
to find theta
Theta is 75.522
can some help me with this
(you can pick more than one for each column)
Answers
Answer:
no no nlnnlnl
Step-by-step explanation:
no sorryyy
HELLPPPPPPPP I NEED THIS AMSWER IN LESS THEN 2 mins
Answers
Answer:
x = 15
m<RQP = 33degrees
Step-by-step explanation:
From the given diagram, m<P = 90degrees
Equating this to 5x+15
5x+15 = 90
5x = 90 - 15
5x = 75
x = 75/5
x = 15
m<RQP = 2x+3
m<RQP = 2(15) + 3
m<RQP = 30 + 3
m<RQP = 33degrees
You have some candies in your pocket. A friend gives you five more candies. When you count all your candies you have 14
Answers
Answer:
9 candies
Step-by-step explanation:
You are required to find the number of candies in your pocket
Let
x = number of candies in your pocket
A friend gives you five more candies.
Total candies = 14
This can be represented by the equation:
Total candies = candies in your pocket + candies your friend gave you
14 = x + 5
14 - 5 = x
9 = x
x = 9 candies
x = number of candies in your pocket = 9
When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?
Answers
Answer:
1/3n-3÷6
Step-by-step explanation:
3 is subtraced form 1/3
Answer:
n < 27
Step-by-step explanation:
1/3n - 3
1/3n - 3 < 6
Add 3 to each side.
1/3n - 3 + 3 < 6 + 3
Combine like terms.
1/3n < 9
Divide each side by 1/3.
1/3n ÷ 1/3 < 9 ÷ 1/3
Combine like terms.
n < 27
Fast problem! Please help
Answers
Answer:
D. 122 degrees
Step-by-step explanation:
The angle next to the 133 degree angle is equal to 47 degrees because they are linear pairs. (Linear pairs will always add up to 180 degrees).
The angle below the 75 degree angle is equal to 75 degrees because they are vertical angles. (Vertical angles will always be equal to each other).
Then by using the Triangle Exterior Angle Theorem. Your missing angle is equal to 47 degrees + 75 degrees = 122 degrees.
90%in the SIMPLEST form
Answers
Answer:
[tex]90\% = \frac{90}{100} \\ = \frac{9}{10} = 0.9[/tex]
Answer:
The simplest form of
90/100
is
9/10
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 90 and 100 is 10
Divide both the numerator and denominator by the GCD
90 ÷ 10
100 ÷ 10
Reduced fraction:
9
10
Therefore, 90/100 simplified to lowest terms is 9/10.
Rosc has $500 in her savings account. She carnis simple interest at 5%
Calculate the interest she carnis after two year.
<
A
B. ss0
CLS250
D. $500
O
A
OB
Answers
Answer:
50
Step-by-step explanation:
I assume you are asking how much she EARNS after 2 years.
500x.-5=25 interest per year
25 x 2 years = 50 interest for 2 years.
what is the area of a triangle with base 18cm and height 4cm
Answers
Answer: The area of the triangle would be “36cm^2”
Explanation: To find the area of a triangle you multiply the height and base and divide it by 2 so it would look like this 18 x 4 = 72 then 72/2 which is 36cm^2.
Have a nice day!
Answer:
Area=36
Step-by-step explanation:
18x4=72
72/2=36
A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table.
Have a cat
Do not have a cat
Have a dog
Do not have a dog
Have a dog
Have a cat
5
7
6
0
Answers
Answer:
Have a cat Do not have cat
Have a dog 7 5
Do not have a dog 6 0
Step-by-step explanation:
Have a cat Do not have a cat
Have a dog 7 5
Do not have a dog 6 0
How to fill the two-way frequency table?The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.
To learn more about sets, please check: https://brainly.com/question/13192210
What is 25% of 40? OА. 10 O B. 15 O C. 20 OD. 25
Answers
Answer:
10 Sorry if wrong!
Step-by-step explanation:
40×0.25=10
Answer:
25/100 x 40 = 10
Step-by-step explanation:
The keyword 'of' means multiplication
Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.
A tiene la mitad de lo que tiene B. Si A gana 66 y B pierde 90. A tendrá del doble de lo que le quede a B ¿cuanto tiene cada uno?
Answers
Respuesta:
a = 82; b 164
Explicación paso a paso:
a = 1 / 2b - - - (1)
a gana 66 = a + 66
b = b - 90
a = 2b
a + 66 = 2 (segundo - 90) - - - (2)
Ponga a = 1 / 2b en (2)
1 / 2b + 66 = 2 (b-90)
0.5b + 66 = 2b - 180
0.5b - 2b = - 180 - 66
-1,5b = - 246
b = 164
a = 1 / 2b
a = 1/2 * 164
a = 82
HELP ASAP TEST IS ONLY 45 MINUTES
Solve the inequality. x – 3 < -2
a) x > 1
b) x < 1
c) x > 1
d) x < 1
Answers
Answer:
x<1 [the answer is positive, not negative btw]
I think you forgot to put the negative sign for two of the answer choices..
Step-by-step explanation:
answer is x<1
Step-by-step explanation:
x is less than 1
Keith played the first 22 minutes of soccer game lohan then replaced him for the rest of half logan started the second half and was replaced by wilson with 18 minutes left in the game if each half is 40 minutes ling how long did logan play during the second half
Answers
Answer:
Logan played for 22 minutes during the second half.
Step-by-step explanation:
Since Keith played the first 22 minutes of a soccer game and Logan then replaced him for the rest of the half, and Logan started the second half and was replaced by Wilson with 18 minutes left in the game, if each half is 40 minutes long To determine how long did Logan play during the second half, the following calculation must be performed:
Second Half Total - Time Played by Wilson = Time Played by Logan
40 - 18 = X
22 = X
Therefore, Logan played for 22 minutes during the second half.