Pregunta completa:
En una empresa trabajan 60 personas. Usan gafas el 16% de los hombres y el 20% de las mujeres. Si el numero total de personas que usan gafas es 11. ¿Cuantos hombres y mujeres hay en la empresa?
Responder:
Hombres = 25
Mujeres = 35
Explicación paso a paso:
Dado lo siguiente:
Número de personas que trabajan en la empresa = 60
Porcentaje de hombres que usan anteojos = 16%
Porcentaje de mujeres que usan anteojos = 20%
Número total de personas que usan anteojos = 11
Suponga, Número de hombres en la empresa = m
Número de mujeres = número total - número de hombres = 60 - m
Por lo tanto,
16% de los hombres = 0,16 m
20% de mujeres = 0,2 (60 - m) = 12 - 0,2 m
Por lo tanto,
0,16 m + 12 - 0,2 m = 11
- 0,04 m = 11 - 12
-0,04 m = - 1
m = 1 / 0.04 = 25
Por tanto, Número de hombres en la empresa = m = 25
Número de mujeres en la empresa = (60 - m) = (60 - 25) = 35 mujeres
Evaluate the expression when a= 5 and x= -2 -a+6x Thankyou ! !
Answer:
[tex]\boxed{-17}[/tex]
Step-by-step explanation:
Hey there!
If x is -2 and a is 5 then we can plug those in,-a + 6x.
-(5) + 6(-2)
-5 + -12
= -17
Hope this helps :)
Please answer answer question
Answer:
156.6 m²
Step-by-step explanation:
To find the surface area of this pyramid, we need to find the area of the base and the sides.
The base triangle has a length of 9 and a height of 7.8. So:
[tex]\frac{bh}{2} = \frac{9\cdot7.8}{2} = \frac{70.2}{2} = 35.1[/tex]
Now, the length of the sides are 9 and the height is 9. So:
[tex]\frac{9\cdot9}{2} = \frac{81}{2} = 40.5[/tex]
Since there are 3 identical sides:
[tex]40.5\cdot3=121.5[/tex]
Add the values:
[tex]121.5+35.1=156.6[/tex]
Hope this helped!
Geometry, please answer question ASAP
Answer:
I'm going to say A and B (I think)
What is the perimeter of a square with an area of 441 cm2? A) 21 cm B) 42 cm C) 56 cm D) 84 cm
Answer:
D) 84cm
Step-by-step explanation:
Square area = √(441cm²) = 21 cm
perimeter = 4*21 = 84 cm
In politics, marketing, etc. We often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 32% with a margin of error of 2.2%. Describe the conclusion about p using an absolute value inequality.
Answer: |p-72% |≤ 4%
Step-by-step explanation:
Let p be the population proportion.
The absolute inequality about p using an absolute value inequality.:
[tex]|p-\hat{p}| \leq E[/tex] , where E = margin of error, [tex]\hat{p}[/tex] = sample proportion
Given: A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .
|p-72% |≤ 4%
⇒ 72% - 4% ≤ p ≤ 72% +4%
⇒ 68% ≤ p ≤ 76%.
i.e. p is most likely to be between 68% and 76% (.
The conclusion about p using an absolute value inequality is in the range of 29.8% to 34.2%.
What is absolute value inequality?An expression using absolute functions and inequality signs is known as an absolute value inequality.
We know that the absolute value inequality about p using an absolute value inequality is written as,
[tex]|p-\hat p| \leq E[/tex]
where E is the margin of error and [tex]\hat p[/tex] is the sample proportion.
Now, it is given that the poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76%. Therefore, p can be written as,
[tex]|p-0.72|\leq 0.04\\\\(0.72-0.04)\leq p \leq (0.72+0.04)\\\\0.68 \leq p\leq 0.76[/tex]
Thus, the p is most likely to be between the range of 68% to 76%.
Similarly, the proportion of people who like dark chocolate more than milk chocolate was 32% with a margin of error of 2.2%. Therefore, p can be written as,
[tex]|p-\hat p|\leq E\\\\|p-0.32|\leq 0.022\\\\(0.32-0.022)\leq p \leq (0.32+0.022)\\\\0.298\leq p\leq 0.342[/tex]
Thus, the p is most likely to be between the range of 29.8% to 34.2%.
Hence, the conclusion about p using an absolute value inequality is in the range of 29.8% to 34.2%.
Learn more about Absolute Value Inequality:
https://brainly.com/question/4688732
A Food Marketing Institute found that 31% of households spend more than $125 a week on groceries. Assume the population proportion is 0.31 and a simple random sample of 373 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.33
Answer:
0.7967
Step-by-step explanation:
We know that population proportion p=0.31.
We have to find P(phat<0.33).
Mean=p=0.31
[tex]Standard deviation=\sqrt{\frac{p(1-p)}{n} }[/tex]
[tex]Standard deviation=\sqrt{\frac{0.31(0.69)}{373} }[/tex]
standard deviation=0.024 (rounded to three decimal places)
[tex]P(phat<0.33)=P(Z<\frac{0.33-0.31}{0.024})[/tex]
[tex]P(phat<0.33)=P(Z<\frac{0.02}{0.024})[/tex]
[tex]P(phat<0.33)=P(Z<0.83)[/tex]
[tex]P(phat<0.33)=0.5+0.2967[/tex]
[tex]P(phat<0.33)=0.7967[/tex]
Thus, the required probability that sample proportion of households spending more than $125 a week is less than 0.33 is 79.67%
simplify [tex]x^{2} - x - 12[/tex]
Answer:
Step-by-step explanation:
x2 - x - 12
x2 - 4x + 3x - 12
x(x - 4) + 3(x - 4)
(x - 4) (x+ 3)
-4 + 3 will make -1 for -1x
-4 x 3 will make -12
Thus, the factored form will be (x-4)(x+3)
For the given figure, justify the statement ∠1 ≅ ∠2
Answer:
JUSTIFICATION↓
∠1 ≅ ∠2 (∵ Vertically-opposite angles are equal)
Step-by-step explanation:
Since ∠1 lies vertically opposite to ∠2 and vice -versa , therefore ∠1 and ∠2 are equal to each other
Find the error in the student's work. Which of the following steps is where the first error occurred?
f(x) = -3x^2 - 2x
Step 1: f(-2) = -3(2)^2 - 2(-2)
Step 2: f(-2) = -3(4) + 4
Step 3: f(-2) = -12 + 4
Step 4: f(-2) = -8
Step 3 should be 12 + 4.
Step 2 should be -3(-4).
O Step 1 should have a -2 substituted for both values.
Answer:
Step 1 should have a -2 substituted for both values.
What is the equation of a circle centered at (1,-4) and a diameter 18?
Answer:
(x - 1)² + (y + 4)² = 81
Step-by-step explanation:
Circle Formula: (x - h)² + (y - k)² = r²
(h, k) is the center
2r = d
Step 1: Find r
18 = 2r
r = 9
Step 2: Plug known variables into formula
(x - 1)² + (y + 4)² = 9²
Step 3: Evaluate
(x - 1)² + (y + 4)² = 81
Answer:
(x-1)^2 + (y+4)^2 = 81
Step-by-step explanation:
The equation of a circle can be written as
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
The center is ( 1,-4)
and the radius is d/2 = 18/2 = 9
(x-1)^2 + (y- -4)^2 = 9^2
(x-1)^2 + (y+4)^2 = 81
Which expression is equivalent to 8f+5f?
The answer is
8f+5f
=13f
If there is an x find the value of it if not explain what needs to be given
Answer:
x value is 7
the answer is 7
Adam has the difference between two-thirds of bretts book and two thirds of charlies books.If brett has 72 books and charlie has 72 books how many books does adam have
Answer:
48
Step-by-step explanation:
Adam has 2/3 of books that brett and charlie have : 2/3 of 72 wich is 48
you are working with a 30-60-90 right triangle. its longer leg measures 6. What is the length of the hypotenuse
Answer:
4sqrt(3) = 6.928
Step-by-step explanation:
Ratio of the lengths of the sides of a 36-60-90 triangle:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is sqrt(3) times shorter than the long leg.
The hypotenuse is twice the short leg.
long leg = 6
short leg = 6/sqrt(3)
hypotenuse = 12/sqrt(3)
12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)
3.What mathematical property is used to get the resulting
expression for each line? Complete the table below.
Line 1: (7 + 10x) + 3
Line 2:
(10x + 7) + 3
Line 3:
10x + (7 + 3)
Line 4:
10x + 10
Answer:
what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>spThe UN has 4 main purposesTo keep peace throughout the world;To develop friendly relations among nations;To help nations work together to improve the lives of poor people, to conquer hunger, disease and illiteracy, and to encourage respect for each other’s rights and freedoms;To be a centre for harmonizing the actions of nations to achieve these goals
Principles of United Nations
View all
These principles include the equality and self-determination of nations, respect of human rights and fundamental freedoms and the obligation of member countries to obey the Charter, to cooperate with the UN Security Council and to use peaceful means to resolve conflicts.
https://en.m.wikipedia.org › wiki
Chapter I of the United Nations Charter - Wikipedia
Feedback
About featured snippets
People also ask
What are the 6 principles of the United Nations?
What are the three principles of UNO?
What are the principles and objectives of UNO?
What are the principal organs of UNO?
Feedback
https://www.un.org › un-charter › c...
Web results
Chapter I: Purposes and Principles (Articles 1-2) | United Nations
Article 2 · The Organization is based on the principle of the sovereign equality of all its Members. · All Members, in order to ensure to all of them the rights ...
Chapter II: Membership
Chapter XIV: The International...
Chapter XV: The Secretariat
Chapter XVIII: Amendments
https://www.un.org › content › purp...
Purposes and Principles of the UN (Chapter I of UN Charter) | United ...
Article 1 (2) establishes that one of the main purposes of the United Nations, and thus the Security Council, is to develop friendly international relations ...
More results from www.un.org
More specific searches
Principles of UNO wikipedia
What are the four principles of UNO
Two principles of uno
A word where two vowels together blend their sound is a vowelrahim was getting his house build. He shared the design with his friend Anas. Anas pointed out that there were no ventilators in his house. What is your opinion Are the ventilators important? Why? What quality of Anas is evident in this case?
What is the volume of this rectangular prism?
3 cm
cm
1
cm
Answer:
.75cm³
Step-by-step explanation:
To find the volume of a shape like this it is,
base×height×width.
In this case it is .5×.5×3=.75cm³
Answer:
3/4 or 0.75
Step-by-step explanation:
Length times width times height:
1/2 * 1/2 * 3
= 3/4
which of the following functions are an example of exponential decay???
Answer:
C. II only
Step-by-step explanation:
iyzgkxhldlufulduo
Question 1(Multiple Choice Worth 5 points) (07.02 LC) Celine is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are in the sample space for pulling a marble out of the box and rolling the die? 48 32 16 8
Answer: 48
Step-by-step explanation:
Given, A box has a white, a green, a blue, and an orange marble.
Total possible outcomes of pulling marbles = 4
There is also a fair 12-sided die labeled with the numbers 1 through 12.
Total possible outcomes of rolling the die = 12
By Fundamental counting principle , we have
Possible outcomes are in the sample space for pulling a marble out of the box and rolling the die = (Total possible outcomes of pulling marbles ) x (Total possible outcomes of rolling the die)
= 4 x 12
= 48
Hence, the correct answer is "48".
Please answer the question in the image below ASAP
Answer:
Option A Center: 2,-3 radius =5Step-by-step explanation:
[tex](x-h) ^2+(y-k) ^2 =r^2[/tex]
The above equation is the general standard equation for the circle centered at (h,k) with radius r
Given that the equation of the circle is
[tex](x-2) ^2+(y+3) ^2 =25[/tex]
Comparing this with the general equation we can get the center and the radius as
[tex](x-h) ^2+(y-k) ^2 =r^2\\(x-(2)) ^2+(y-(-3)) ^2 =5^2[/tex]
We can now see that
h= 2
k= -3 and
r= 5
Find the probability distribution for the following function: P(x)=x/2+1 for x=4,6, and 8
Look at each pattern.
Identify the rule for each pattern.
Pattern A: 0, 3, 6, 9, 12, 15, 18,...
Pattern B: 0, 12, 24, 36, 48, 60, 72, ...
Answer:
pattern A is going by 3
pattern B is going by 12
Step-by-step explanation:
so you basically just have to add 3 for pattern a and add 12 for pattern B for each number
5[tex]5^{56} x 5^{22} x 5^{-96}[/tex]
Answer:
[tex] \frac{ {11}^{56} }{ {5}^{18} } [/tex]
Step-by-step explanation:
[tex] {55}^{56} \times {5}^{22} \times {5}^{ - 96} [/tex]
[tex] = {55}^{56} \times {5}^{ - 74} [/tex]
[tex] = {11}^{56} \times {5}^{56} \times \frac{1}{ {5}^{74} } [/tex]
[tex] = {11}^{56} \times \frac{1}{ {5}^{18} } [/tex]
[tex] = \frac{ {11}^{56} }{ {5}^{18} } [/tex]
A telephone long distance carrier charges customers $0.99 for the first 10 minutes and then $0.09 for each minute beyond 10 minutes. If Mary uses this carrier, how long can she talk for $5.00
Answer:
5 minutes
Step-by-step explanation:
5 * $0.99 = $4.95
5. Solve the differential equation y" - 5y "+7y'-3y=0.
The differential equation
y''' - 5y'' + 7y' - 3y = 0
has characteristic equation
r ³ - 5r ² + 7r - 3 = (r - 3) (r - 1)² = 0
with roots at r = 3 and r = 1 (with multiplicity 2), so that the characteristic solution to the DE is
y = C₁ exp(3x) + C₂ exp(x) + C₃ x exp(x)
3/4a-1/6=2/3a+1/4? Please i need help!!!!
Answer: a=5
Step-by-step explanation:
1/12a=10/24
24a=120
a= 5
Given: ABCD is a parallelogram.Prove: m∠A + m∠B + m∠C + m∠D = 360˚By the definition of a parallelogram, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . By the definition of supplementary, m∠A + m∠D = 180. Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. By the definition of supplementary, m∠B + m∠C = 180. So, m∠A + m∠D + m∠B + m∠C = 180 + 180 by the property. Simplifying, we have m∠A + m∠B + m∠C + m∠D = 360˚.1) D2) Supplementary3) BC4) Addition
Answer:- D
- Supplementary
- BC
- Addition
Step-by-step explanation:
Write the equation of the line that passes through the points (3, -7) and (-6, -13)
Answer:
-18 y + 91 y = 73 y
(3, -7) y (-6, -13)
{-18 y, 91 y}
Which point represents the opposite of 0 on the number line? A B C D E
Answer:
C: 0
Step-by-step explanation:
Let's use 1 for an example first. The opposite of 1 is -1. 2 = -2, 3 = -3, and so on. Since there is no such thing as -0, our answer would be C, 0. It is not -5, -2, 2, or 7 because those are not the negatives of 0.
What is the radical equivalent for 197^7/8?
Answer:
[tex]\sqrt[8]{197^{7} }[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{197^{7} }[/tex]
last one hopefullly hahah
you are correct. all angles (except central) are not equal (iff TU and CB are not parallel)
the triangles are not similar
Answer:
it's A
They don't give you enough information to determine if they are similar or not