The homeowners association for a residential community is selecting a committee of 7. There are 24 candidates for positions. How many possible committees can be formed?
Answer: 168
Step-by-step explanation:
Times the two numbers together to get the combinations.
24x7=168
Possible number of committees formed is equals to 3.
What is number?
" Number is defined as the arithmetic value which represents the count of any given quantity."
According to the question,
Total number of candidates for positions = 24
Number of candidate selected for 1 committee = 7
Total possible number of committees = [tex]\frac{24}{7}[/tex]
= 3.428
≈ 3 committees (approximate)
As one committee is formed by 7 candidates , it can not be in decimals or fractions.
Hence, possible number of committees formed is equals to 3.
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Write the equation of the circle centered at (10, – 4) that passes through (14, 12).
Answer:
(x -10)² +(y +4)² = 272
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The center is given as (h, k) = (10, -4). We can find the value of r² using the "passes through" point coordinates:
(14 -10)² +(12 -(-4))² = r² = 16 +256 = 272
Then for the given center and the value of r² we found, the equation is ...
(x -10)² +(y +4)² = 272
PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula
Answer:
Your answer would be x=2±√5
Step-by-step explanation:
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Answer:
E
Step-by-step explanation:
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What is the equation of this line?
y= 1/2+2
y = 2x + 2
y= 1/2x-2
y = 2x - 2
HELP ME PLEASEEE ILL GIVE BRAINLIEST
Answer:
y=2x-2
You use rise/run in this problem
It’s for pre college
Answer:
Step-by-step explanation:
y = mx + b for line through (7, 4) and perpendicular to -5x + 9y = - 71
perpendicular lines have negative reciprocal slopes
-5x + 9y = - 71
9y = 5x - 71
y = (5/9)x - 71/9
so a perpendicular line will have slope -9/5
y = (-9/5)x + b
plug in our desired point
4 = (-9/5)7 + b
4 = -63/5 + b
20/5 = -63/5 + b
b = 83/5
y = (-9/5)x + 83/5
5y = -9x + 83
evaluate 6^2 - (9 divided by x) when x = 3
Answer:
33
Step-by-step explanation:
urgent help now plz i will give brainlest
Answer:
Step-by-step explanation:
First get the (m) which is the gradient by using the formula y2-y1/x2-x1
Pick any random 2 values from the table. I will pick. (1,4) (2,8)
Y2=8 Y1=4 X2=2 X1=1
8-4/2-1 4/1 = 4
Y=4x+c
4. Suppose you have a map of Charlotte where 2
inches equals 4 miles. On the map, the distance
from your house to school if 3.5 inches. How
many miles is this?
Multiply.
3 1/2 times 2 2/3
Answer:
Step-by-step explanation:
please help.. no links
Use Pythagorean theorem,
[tex]29^2 = 21^2 + x^2 \\\\\implies x^2 = 29^2 -21^2 \\\\\implies x^2 = 400\\\\\implies x = \sqrt{400} = 20[/tex]
3. Sarah has a goal to save $81.84 for a new gan
If she has 12 weeks to save the money, how much does she need
to save each week?
Answer:
93.84
Step-by-step explanation:
I think I'm not sure
helpppp pleaseeeee✋
Answer:
5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9
Step-by-step explanation:
Answer:3,8,3/2
Step-by-step explanation:
1) 5*x=15
X=15/5=3
2) 4*x=32
X=32/4=8
3)
6*x=9
X=9/6=3/2
Can someone answer this for me
Answer:
s=4
Step-by-step explanation:
area of square is side*side
so that means s*s=16
so s = 4
I need to find out the answer for this problem...
Answer:
where is the problem to solve. please tell me
Andrew invests $9000
What are you asking?
Multiply & Divide Fractions Task Card # 29
3
4
Beverly walks for exercise
mile every day: How far does
she walk each week?
Answer:
I dont understand what you're saying, but im thinking 7 miles?
Graph the equation y= -1/2x. Please help
Answer:
put one point b the negative -1 and another point by the 2 going long ways ------
Step-by-step explanation:
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
Please take a look at the picture
Answer:
I think it'
is A and B
Step-by-step explanation:
hope hwlps
how do i rewrite -2/3x+2y=-7 in slope intercept form?
Answer:
y=1/3x-7/2
Step-by-step explanation:
First get the 2y by itself by adding 2/3x to both sides. Then subtract both sides by 2.
Help I’m timed!
The graph of an equation with a negative discriminant always has which characteristic?
A: no x-intercept
B:no y-intercept
C: no maximum
D: no minimum
Answer:
a
Step-by-step explanation:
Negative discriminant means that the fucntion has no real roots
so in the quadratic function b^2-4ac if this section is negative there are no real roots, so yes a would be the answer
Bonus: if u want to know.
However, in linear algebra which ofc i know ur not taking there would be something called imangiary roots, or complex roots.
Help please!!!!
Find the measure of the angle indicated
Answer:
x = 6
Step-by-step explanation:
Because we have parallel lines, we can use alternate angles are equal. Therefore, we know that 11x-6 = 10x.
Minus 11 from both sides, and we get -6 = -x, so x = 6
Simplify the linear expression
-5/8a+2/3-1/4a-5/6
Enter your answer as simplified fractions in the boxes.
Answer:
[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]
Step-by-step explanation:
This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.
Se mezcla café del tipo A de 6 €/kg con café del tipo B de 4,5 €/kg para obtener una mezcla de 60 kg a 5 €/kg. ¿Cuántos kilogramos de café debemos tomar de cada tipo?
The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.
Answer:
40 in
Step-by-step explanation:
For a width of w, the length is 3w and the area and perimeter are ...
A = LW = (3w)(w) = 3w^2
P = 2(L+W) = 2(3w +w) = 8w
We are given the area, so we can find w to be ...
75 in^2 = 3w^2
25 in^2 = w^2 . . . . . divide by 3
5 in = w . . . . . . . . . square root
Then the perimeter is ...
P = 8w = 8(5 in) = 40 in
Hey help please math I need help good luck I’ll I’ve point
Answer:
180 degrees
Step-by-step explanation:
180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.
What's the walker instructions for this problem?
I'm not sure what the stuff in blue indicates. If we ignore that, then the flat horizontal line means the person stays motionless at some distance away from the motion detector. They don't move because the slope = rise/run is zero here, to indicate a zero speed.
Write each decimal as a percent. 1. 0.74
4. 0.617 =
Write each percent as a decimal. 6. 68%
9. 175% =
2. 0.15 =
5. 0.834 =
7. 34% =
10. 200% =
3. 0.09 =
8. 58.5% =
Answer:
1. 0.74 = 74%
4. 0.617 = 61.7
6. 68% = 0.68
9. 175% = 1.75
2. 0.15 = 15%
5. 0.834 = 83.4%
7. 34% = 0.34
10. 200% = 2.00
3. 0.09 = 9%
8. 58.5% = 0.585
Step-by-step explanation:
9w=8w-5
[tex]9w=8w-5[/tex]
Answer:
9w=8w-5
collect like terms
9w-8w=-5
w=-5