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
Please help me its a math question
Answers
Jessica rents a bike for $15 plus $3 for each hour of use. She pays $27 in total. How long did Jessica rent the bike for? Choose the equation and solution which describe this situation.
Answers
Answer:
$27-$15
= $12
$3 per hour
$12÷$3
=4 hours
Jessica rent the bike for 4 hours.
Find the Area of the figure below, composed of a rectangle and one semicircle, with
another semicircle removed. Round to the nearest tenths place.
Answers
Answer:
56
Step-by-step explanation:
Simple just move the semicircle into the empty spot and there you go.
Sally graphs a system of inequalities as shown below:
Answers
Step-by-step explanation:
first inequality :
x + 2y ≥ 10
second inequality :
x - y ≤ -2
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.
A basket of carrots can be finished by 10 rabbits in 6 days. In how many days the basket will be
empty if 15 rabbits eat the carrots.
Answers
Answer:
7 or 8 days
Step-by-step explanation:
The answers is correct ⬆️
(04.01)Which unit rate is the lowest price per ounce?
Choice A: 15 ounces of chocolate chips for $2.49
Choice B: 20 ounces of chocolate chips for $3.32
O Choice A
Choice B
The unit rates are equal.
O the unit rates cannot be determined.
Answers
Which equation represents the line passes through (0,100) and (1, 160)
Answers
Answer:
b) y=60x + 100
Step-by-step explanation:
If A = 30 degree and B = 60 degree , what is the value of sin(A+B). *
a) 0
b) 1/2
c) √3/2
d) 1
Answers
Answer:
I THINK it's B 1/2
Step-by-step explanation:
Sorry if wrong
Answer:
In this case, D
Step-by-step explanation:
Sin(30+60)=0.8939966636 which can be rounded to 0.89.
Now that we got that out of the way, we supposedly can follow the process of elimination.
It's clearly not A since we know the answer isn't equivalent to zero.
1/2 equals 0.5, meaning B's also not it.
We also know the answer isn't D, since 0.89 does not equal 1.
That only leaves C. Yet when check, just in case, √3/2 equals 1.22474487, meaning that's not the answer.
We've eliminated every answer so far, meaning we should go back and check our work. As I stated earlier, 0.8939966636 can be rounded to 0.89, but it can also be rounded to 1. Meaning, the closest answer to what we're looking for is D.
Of course, there could always be an error in the question itself, but unfortunately, there's no way to confirm that without asking your instructor or tutor.
I hope that helps.
Someone help me asap!! its 7:51 and my brain completely shut off.
(ill give brainliest and 50 points!!)
What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?
A) -7
B) -3
C) 4
D) 6
Answers
Answer:
B) -3
Step-by-step explanation:
The coefficient is the numerical value placed before and multiplying the variable (x).
Answer:
-3
Step-by-step explanation:
that's answer
hope it helps
help fast please lol
Answers
Answer:
Between 0 and 3: decreasing
Between 3 and 4: constant (stays the same)
Between 4 and 8: decreasing
Step-by-step explanation:
HELP THIS IS DUE TOMORROW!!!!
Answers
Answer:
The answer is 1,136
Answer:
20/89
Step-by-step explanation:
The question wants the student from Gryffindor. So we will take the total of the Gryffindor student only is 178
Then they want the student who has owl then is 40.
So you use 40/178
And get the simple fraction 20/89
HELP ME it's almost due
find the length of the diagonals of rectangle QRST
Answers
Answer:
11.since diagonal are equal of rectangle
QS=RT
4x+6=6x-4
6+4=6x-4x
2x=10
x=10/2
x=5
now
diagonal :4x+6=4*5+6=26
12.
again
QS=RT
9x+12=11x-10
12+10=11x-9x
2x=22
x=11
now
diagonal=9*11+12=99+12=111
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) a It is a valid sample because the first eight people were selected to participate. b It is not a valid sample because it is not a random sample of the population. c It is a valid sample because money was offered to participants. d It is not a valid sample because it is only a short study.
Answers
a) is biased because the first 8 people are unlikely to be representative of the population
c) is biased as offering money will influence the people who reply
d) is untrue because short studies are valid if they are representative
Santos went on a bike ride of 90 miles. He realized that if he had gone 24 mph faster, he would have
arrived 12 hours sooner. How fast did he actually ride?
Need an answer fast
Answers
========================================
Explanation:
distance = rate*time
90 = r*t
where r is the slower speed and t is the time it takes when going that slower speed.
If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is
90 = (r+24)(t-12)
-------------------------------------
We can solve the first equation for r to get r = 90/t
Then plug this into the second equation and do a bit of algebra
90 = (r+24)(t-12)
90 = (90/t+24)*(t-12)
90 = 90 - 1080/t + 24t - 288
90t = 90t - 1080 + 24t^2 - 288t
0 = 90t - 1080 + 24t^2 - 288t-90t
0 = 24t^2 - 288t - 1080
24t^2 - 288t - 1080 = 0
If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.
We'll ignore the negative t value. It makes no sense to have a negative time.
So we focus on t = 15 as the only solution.
-------------------------------------
If t = 15, then,
r = 90/t
r = 90/15
r = 6
Santos rode his bike at 6 mph at first. Going this speed means he takes 15 hours.
If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.
solve this step by step using the quadratic function
y=x^2 +x+2
Answers
Answer:
x=+[tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]
Step-by-step explanation:
Quadratic function =( -b+[tex]\sqrt{b^2+4ac}[/tex] )/2a
x^2+x+2-y=0
x=-1+[tex]\sqrt{1^2-4(2-y)}[/tex] /2
x=-1+[tex]\sqrt{4y-7}[/tex] /2
x=+ [tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]
Pretty sure this is right. Would appreciate a brainliest
When testing the difference between two independent population means, the sample variances are pooled to estimate the population variance when ________. Multiple Choice the population means are known the population variances are assumed equal but unknown the population variances are assumed unequal and unknown the population variances are known and equal
Answers
Answer:
the population means are known the population variances are assumed equal but unknown
Step-by-step explanation:
If σ1= σ2 (= σ) but unknown , then the biased pooled or combined estimate of the common variance σ² ( the term common variance means that each population has the same variance ) is given by
Sp²= (n1-1) s1² + (n2-1) s2²/ n1+ n2- 2
So first assumption is correct.
When the population variances are assumed unequal and unknown
If σ1 ≠ σ2 but unknown
we use the sample estimates s1 and s2 to compute the standard error of the difference between the means.
S(x1`- x2`) = √s1²/ n1 + s2²/n2
So this is does not apply here.
Find the circumference of a circle with a radius of 6 inches.
Answers
Answer:
C≈37.7
Step-by-step explanation:
C = 37.68
Step-by-step explanation:
6×2 = 12
C = pi d
C = 3.14 × 12
C = 37.68
Prove the identity
1. cot²x= csc²x-1
2. sin x tan x= sec x - cos x
Answers
Answer:
Step-by-step explanation:
Hope this helps u!!
In a sale,the selling price of a bicycle is recuced by 20%.
Find the sale price of the bicycle,given that its normal selling price is Rs 3300.
Answers
Original price = 3300
sale = 20% = 3300×20/100 = 660
Selling price= 3300-660= 2640 rs
the sale price of the bicycle is 2640 Rs
The diameter of a circle in 5in.find its area to the nearest tenth
Answers
9514 1404 393
Answer:
19.6 in²
Step-by-step explanation:
The area in terms of the diameter is given by ...
A = (π/4)d²
A = π/4(5 in)² = 25π/4 in² ≈ 19.6 in²
Janene is solving the equation log3x324=2. Which exponential equation can she use to solve the problem?
A. 324^2=3x
B. 334^x=2/3
C. (3x)^2=324
D. 3x^2=324
Answers
Answer:
Option C: (3*x)^2 = 324
Step-by-step explanation:
Janene is solving the equation:
Log₃ₓ(324) = 2
First, some rules we need to remember:
Logₙ(x) = Ln(x)/Ln(n)
and:
Ln(x^b) = b*Ln(x)
So we can rewrite our expression as:
Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2
Ln(324) = 2*Ln(3*x)
Now we can use the second property:
Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )
The arguments in both sides must be the same thing, then:
324 = (3*x)^2
This is the exponential equation she needs to solve.
Then the correct option is C.
Mr.Bell gave out a science test last week to six honors students. The scores were 88, 94, 80, 79, 74, and 83. What is the standard deviation of the scores? Round to the nearest tenth
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Answer:
88+94+80+79+74+83=
answer divided by 100 then get the answer
Look at the box plot. What is the median? *
5
15
25
35
Answers
Eight trials are simulated. The results are shown in the table.
Simulation
105 104 110 112
114 106 108 109
What is the estimated margin of error, using standard deviation?
Enter your answer, rounded to two decimal places, in the box.
± =
Answers
2.897
This should be you're anwser.
Callie wants to buy a new pair of jeans that reguiarly
costs $50. If the jeans aro on sale for 10% off, and sales
tax is 10%, how much will Callie pay for the jeans?
Answers
Explanation: 10% of 50 is 5, and 5 dollars off of 50 is 45. The ten percent tax would be 4.50 cents, making it 49.50
Please give brainliest if it helped!
Answer: k
Step-by-step explanation:
Is this from Adam test?
Using the unit circle, determine the value of sin(300°).
A) -1/2
B) -√3/2
C) 1/2
D) √3/2
Answers
[tex]\huge{ \mathcal{ \underline{ Answer }\: \: ✓ }}[/tex]
According to the unit circle, the value of sin will be :
[tex] \boxed{\boxed{\longrightarrow \dfrac{ - \sqrt{3} }{2} }}[/tex]
Since, value of sin[tex](\theta)[/tex] is always negative in the fourth quadrant, therefore it can't be [tex]\dfrac{1}{2}[/tex].
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
i really need help. 20 points+brainliesttt
Answers
Answer:
I think c
Step-by-step explanation:
El volumen de un cubo, cuyos lados miden 4,5 cm corresponde a: A- 91 cm2 B- 91,1 cm C- 91 cm3
Answers
Answer:
La respuesta correcta es la opción C: 91 cm³.
Step-by-step explanation:
La fórmula del volumen de un cubo es la siguiente:
[tex] V = a^{3} [/tex]
En dónde:
a: es cada lado del cubo = 4,5 cm
Entonces, el volumen del cubo es:
[tex] V = a^{3} = (4,5 cm)^{3} = 91.1 cm^{3} \approx 91 cm^{3} [/tex]
Por lo tanto, la respuesta correcta es la opción C: 91 cm³.
Espero que te sea de utilidad!
Wesley made 3/4 of a liter of hot chocolate. Each mug holds 3/8 of a liter. How many mugs
will Wesley be able to fill?
Answers
Answer:
2
Step-by-step explanation:
you have to dived 3/4 by 3/8= 24/12=2