1. Un restaurant ofrece 14 entradas, 8 platos principales y 7 postres. ¿De cuántas formas un cliente puede ordenar una comida?
2. ¿Cuántos grupos de 4 letras se pueden formar con las letras de la palabra TECNICA?
3. ¿Cuántos números de 4 dígitos se pueden formar con los primeros 7 números naturales?
4. ¿Cuántos partidos distintos se pueden realizar dados 5 equipos de futbol?
5. ¿De cuántas formas pueden colocarse los 11 jugadores de un equipo de fútbol teniendo en cuenta que el portero no puede ocupar otra posición distinta de la portería mientras que los otros 10 pueden jugar en cualquier otra posición que no sea portero?
6. En el palo de señales de un barco se puede izar tres banderas rojas, dos azules y cuatro verdes. ¿Cuántas señales distintas pueden indicarse con la colocación de las nueve banderas?
Usando técnicas de conteo, se encuentra que
1. Un cliente puede ordenar una comida de 784 formas.
2. 420 grupos de 4 letras se pueden formar con las letras de la palabra TECNICA.
3. 840 números de 4 dígitos se pueden formar con los primeros 7 números naturales.
4. 10 partidos distintos se pueden realizar.
5. Pueden colocarse de 3,628,800 formas.
6. 1260 señales distintas pueden indicarse.
Item 1:
La técnica usada es el principio fundamental de conteo, que afirma que si hay n cosas, cada una con [tex]n_1, n_2, \cdots, n_n[/tex] maneras de seren realizadas, el número total de maneras de ser realizadas es:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
En este problema, [tex]n_1 = 14, n_2 = 8, n_3 = 7[/tex], por eso:
[tex]T = 14 \times 8 \times 7 = 784[/tex]
Un cliente puede ordenar una comida de 784 formas.
Item 2:
El orden es importante, ya que TECN es una palabra diferente de NCET, por lo tanto, la fórmula de permutaciones se usa para resolver este problema.
Fórmula de permutaciociones:
El número de permutaciones de x elementos en un conjunto de n elementos es dada por:
[tex]P_{n,x} = \frac{n!}{(n - x)!}[/tex]
En este problema, 4 letras de 7, enconteces:
[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]
La letra C se repite dos veces, o sea:
[tex]T = \frac{P_{7,4}}{2} = \frac{840}{2} = 420[/tex]
420 grupos de 4 letras se pueden formar con las letras de la palabra TECNICA.
Item 3:
Permutaciones de 4 dígitos de 7, sin repeticiones, o sea:
[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]
840 números de 4 dígitos se pueden formar con los primeros 7 números naturales.
Item 4:
El orden no es importante, ya que Time 1 x Time 2 es la misma partida de Time 2 x Time 1, por lo tanto, la fórmula de combinaciones se usa para resolver este problema.
Fórmula de combinaciones:
El número de combinaciones de x elementos en un conjunto de n elementos es dada por:
[tex]C_{n,x} = \frac{n!}{x!(n - x)!}[/tex]
En este problema, combinaciones de 2 elementos de un conjunto de 5, entonces:
[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]
10 partidos distintos se pueden realizar.
Item 5:
El número de arreglos de n elementos viene dado por
[tex]A_n = n![/tex]
En este problema, arreglo de 10 elementos, o sea:
[tex]A_{10} = 10! = 3628800[/tex]
Pueden colocarse de 3,628,800 formas.
Item 6:
El número de arreglos de n elementos, con repeticiones de [tex]n_1, n_2, \cdots n_n[/tex] elementos viene dado por
[tex]A_n^{n_1,n_2,\cdots,n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]
En este problema, [tex]n = 9, n_1 = 3, n_2 = 2, n_3 = 4[/tex], por eso:
[tex]A_9^{3,2,4} = \frac{9!}{3!2!4!} = 1260[/tex]
1260 señales distintas pueden indicarse.
Un problema similar es dado en https://brainly.com/question/19022577
if there are 60 houses and every house have one kid and there's 30 parts how much kids will have to go to each Park
Answer:
2 parks
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
There would be 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
A ticket for a show costs $114.50. A parking pass costs $13.00. Let x represent the number of tickets and y represent the cost. How much does it cost for 2 tickets and a parking pass?
Answer:
X multiplied by Y is $229 plus a parking pass being $242
Step-by-step explanation:
X = 2 (2tickets)
Y = $114.50 (cost of one)
multiplying the tickets by the cost of one will give you $229 and the cost for the parking pass being $13.00 well 29 + 13 = 42 adding 42 to the 200 we left gives you $242 for 2 tickets and a parking pass
PLEASE ANSWER FAST BUT CORRECTLY
Answer:
A-quadratic
B [tex]- \infty\leq x\leq \infty[/tex]
C [tex]-1\leq x\leq \infty[/tex]
D -3.7071 and -2.2929
E 17
F (-3, -1)
G(17,0) (-2.2929 -3.7071)
h(17,0) -3.7071,0)
j even
Determine the value of x. Round to the tenths place. 30/4 65/x
wow that's really hard... :) greetings from South Korea My name is Naoyoung nei The abbreviation of Nanda is Naoyoung nei And the name DA is the name of my father and mother
A contractor uses a scale drawing of an office floor to determine the amount of carpet he needs to buy 1/4 inch = 4.5 feet the width in the scale drawing of the office floor is 6.4 inches what is the actual width of the office floor
A scale drawing is a method of drawing that requires either increasing or decreasing the dimensions of a given object. So then, the actual width of the office floor is: 115.2 feet.
A representative factor is a factor the can be used to either increase or decrease the dimensions of an object. It is sometimes referred to as a scale factor.
In the given question, the scale factor is given as:
[tex]\frac{ 1 }{4}[/tex] inch = 4.5 feet
Given that the width in the scale drawing of the office floor is 6.4 inches, let the actual width be represented by x.
So then;
[tex]\frac{ 1 }{4}[/tex] inch = 4.5 feet
6.4 inches = x
x = [tex]\frac{6.4 *4.5}{\frac{1}{4} }[/tex]
= [tex]\frac{28.8}{0.25}[/tex]
x = 115.2
Therefore, the actual width of the office floor is 115.2 feet.
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Answer:
115.2 /\
Step-by-step explanation: / \
What the person above me said. / \
When 5,708,100,000 is written in scientific notation, the decimal number will be multiplied by which power of 10?
the eighth power of 10
the ninth power of 10
the tenth power of 10
the eleventh power of 10
Answer:
ninth power of 10
Step-by-step explanation:
count the number of digits then subtract 1
Answer:
ff
Step-by-step explanation:
Trish has 7 cans of dog food for 3 days. She will feed each dog 2 1/3 cans of food each days. If she wants to feed them 3 cans each day how many more cans of food will she need
Answer:
2 more cans
Step-by-step explanation:
2 1/3 x 3 = 7 cans (this the amount of cans of dog food she has)
3 x 3 = 9
the 3 represents how she wants to feed 3 cans of dog food each day for 3 days; the other 3 represents 3 days
9 - 7 = 2
a pacific seahorse eats about 56 shrimp per week how much does it eat per day
A parking lot has 117 spaces total. If 36 of the spaces have cars in them, what is the ratio of empty spaces to filled spaces?
Answer:
81:36
Step-by-step explanation:
117-36
= 81
Boom answer that's it
The ratio of empty spaces to filled spaces is 9 : 4.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
A parking lot has total = 117 spaces
Spaces filled with cars = 36
spaces left = total spaces - space filled with cars
spaces left = 117 - 36
spaces left = 81
Now, the ratio of empty spaces to filled spaces will be :
81 : 36
cancelling common factor that is 9 :
9 : 4
Therefore, the ratio of empty spaces to filled spaces is 9 : 4.
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Help I offer all of my points
Answer:
100 bags
Step-by-step explanation:
You're going to want to multiply each amount of pounds the bags are by two. So 30 × 2 is 60. 15 × 2 = 30. 5 × 2 = 10.
60 + 30 = 90
90 + 10 = 100 (BRAINLIEST PLEASE OvO)
Lin father is paying for a 20 meal he has a 15 off coupon for the meal what is the total after the discount
Answer:
3
Step-by-step explanation:
20÷100=0.2
0.2×15=3
:)
Answer:
Lin's father would pay $17 for his meal.
Step-by-step explanation:
15*20 = 300
300/100 = 3
20 - 3 = 17
please answer fully///////////////
Answer:
14
Step-by-step explanation:
(4+(16-1)/5)*2
(4+15/5)*2
(4+3)*2
7*2
14
At gym A is 76.50 for 8.5 hours. At gym B cost is 10.50 for 3/4 hours which plan of offers the best deal
HELPPPPPPPPPP PLEASE
Answer:
The answer is in the above attachment.
Answer:
1. 6 x^8 y^5
2. 4 x^5 z^8
3. 12 a^9 b7
4. 6 s^9 t^3
Step-by-step explanation:
1. (3 x^2 y^4) × (2 x^6 y)
= [ (3×2) (x^2 × x^6) (y^4 × y) ]
= 6 x^8 y^5
2. [ (x z^3) × (4 x^4 z^5) ]
= (4 × 1) (x × x^4) (z^3 × z^5)
3. .........
4. ...........
Don't mind me, cause I'm busy
HELP CODE HS 3.2.8 repeating message
The program is an illustration of loops.
Loops are used to perform iterative and repetitive operations.
The program where comments are used to explain each line is as follows:
public class MyProgram extends ConsoleProgram {
public void run() {
//This prompts the user for the number of times to repeat the message
echo("Anybody home?", readInt("Times to repeat: "));
}
private void echo(String lineOne, String lineTwo, int numTimes) {
//The following iteration is repeated numTimes times
for (int i = 0; i < numTimes; i++){
//This prints lineOne
System.out.println(lineOne);
//This prints lineTwo
System.out.println(lineTwo);
}
}
}
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(x + 1)(x - 1)
I dont understand this could any1 help me
Answer:
x^2-1
Step-by-step explanation:
you must use the distributive property
first you do x•x=x^2,
then you do x•1 and x•-1 to get x and -x and those cancel out,
the you do 1•-1=-1, then you put it together to get x^2-1
Step-by-step explanation:
It's a factored form of the quadratic equation
[tex] {x}^{2} - 1[/tex]
in the form of [tex] {ax}^{2} + bx + c[/tex]
in which a = 1, b = 0, c = 1.
If right you get brainiest!
A little mermaid can swim 12 miles downstream in the same amount
of time she can swim 8 miles upstream. What is the little mermaid's
speed in still water if the speed of the current is 4 mph?
Answer:
20 mph
Step-by-step explanation:
time = distance / speed
speed up stream = s - 4
speed down stream = s + 4
time up = time down
8 / (s - 4) = 12 / (s + 4)
cross multiply
8s + 32 = 12s - 48
subtract 8v from both sides
32 = 4s - 48
add 48 to both sides
80 = 4s
Divide both sides by 4
20 = s
20mph
At a birthday party, 20% of the guests wear glasses.
If there are 30 guests, how many wear glasses?
Answer:
if 100% =30 guests what about 20%=6%
Parents of children with developmental disorders can apply for federal funding for psychosocial rehabilitation. A government sociologist wants to know what percentage of applicants for this funding are in poverty. She obtains access to all their applications, groups the applications by state, and takes a simple random sample from each state's applications. Identify the population of interest to the sociologist.
a. Applicants for the federal funding who were in poverty
b. Applicants for the federal funding
c. Applicants who received the federal funding
d. Applicants whose applications were examined
Answer:
Applicants for the federal funding
Step-by-step explanation:
64/ 896 neeed to use dividing decimals
135 rational or irrational
Answer:
Rational
Step-by-step explanation:
I hope this helps!
In February Lana got a puppy that weighed 13 kilograms. By October the puppy weighed 16.9 kilogram. What was the puppy’s weight increase?.
Answer:
3.9
Step-by-step explanation:
16.9 take away 13 and you get 3.9 kilograms
What is the equation of this line?
Answer:
y = 1/2x - 3
Step-by-step explanation:
A car travels a distance of 7575 meters in a time of 25 hours. What is the car's speed?
Answer:
303 miles per hour
Step-by-step explanation:
An experiment is conducted examining the effects of a new type of toothpaste on reducing cavities. Individuals in the treatment condition are given the new toothpaste; individuals in the control condition are given the standard toothpaste, but are told that they're receiving the new toothpaste. At the end of the experiment, the control group participants demonstrate a slightly higher decline in cavities. This is an example of a(n):____.
a. Wording bias.
b. Voluntary response bias.
c. Over-sampling effect.
d. Placebo effect.
d. Hawthorne effect.
The experimental effect highlighted by the scenario described would most likely be an example of placebo effect.
An observed change in the control group which are being given the placebo would have been triggered due to psychological expectation based on the information given. Hence, this is called the placebo effect. The standard toothpaste was not suppose to cause decline in cavities, however, since the group have been told that they we given the new toothpaste which is said to reduce cavities, this could trigger a psychological change hence causing them to have higher cavity decline.Learn more : https://brainly.com/question/25704508
If 2 pizzas cost $16, how much do 4 pizzas cost?
Answer:
$32
Step-by-step explanation:
$16/2 pizzas = $8 per pizza
($8)(4)=$32
Answer:
$32
Step-by-step explanation:
16/2 is 8. So each pizza costs exactly 8 dollars. You have to do 4x8 which is 32
number 4. and 5.
What is the unit rate for each size?
Which size is a better buy? why?
Answer:
Step-by-step explanation:
4)
Regular $4 / 8 cups = $0.50 / cup
Large $6 / 15 cups = $0.40 / cup
5)
most people would consider the Large to be the better buy because the price per cup is lower.
Express 405 1/3 in simplest radical form.
Answer:
3 cube root of 15
Step-by-step explanation:
theres your simple radical form
8(152/3) is 405 1/3 in simplest radical form.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
405 1/3 is equivalent to (405*3 + 1)/3 = 1216/3.
To express 1216/3 in simplest radical form, we can first simplify it by dividing both the numerator and denominator by their greatest common factor, which is 8.
1216/3 = (8*152)/3 = 8(152/3)
Now, we can see that 152/3 cannot be simplified any further, so the simplest radical form of 405 1/3 is: 8(152/3)
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16.
Identify the axis of symmetry of the parabola.
A. x = -2
B. x = 1
C. x = -3
D. x = -1
Answer:
i don't know
Step-by-step explanation: