Given:
Number of girls = 20
Number of boys = 30
The president must be a girl and the vice president a boy
To find:
Number of ways to choose a president, vice president, and secretary.
Solution:
The president must be a girl and the vice president a boy. So, out of three students 1 is girl and 1 is boy. Third student can be a girl or a boy.
Total number of ways = Selecting 2 boys and 1 girl + Selecting 1 boy and 2 girls
[tex]=^{30}C_2\times ^{20}C_1+^{30}C_1\times ^{20}C_2[/tex]
[tex]=\dfrac{30!}{2!(30-2)!}\times \dfrac{20!}{1!(20-1)!}+\dfrac{30!}{1!(30-1)!}\times \dfrac{20!}{2!(20-2)!}[/tex]
[tex]=\dfrac{30\times 29\times 28!}{2\times 1\times 28!}\times \dfrac{20\times 19!}{19!}+\dfrac{30\times 29!}{29!}\times \dfrac{20\times 19\times 18!}{2\times 1\times 18!}[/tex]
[tex]=\dfrac{30\times 29}{2}\times 20+20\times \dfrac{20\times 19}{2}[/tex]
[tex]=8700+3800[/tex]
[tex]=12500[/tex]
Therefore, the required number of ways is 12500.
A motorcycle bought for $10,000 depreciates continuously at 9% per annum. What is the value after seven years round the answer to the nearest dollar
Answer:
Book value= $62.83
Step-by-step explanation:
Giving the following information:
A motorcycle bought for $10,000 depreciates continuously at 9% per annum.
First, we need to calculate the depreciation of seven years:
FV= PV*{[1+(-i/100)]^n}
FV= 10,000*{[1+(-0.09/100)]^7}
FV= $9937.17
Book value= 10,000 - 9,937.17
Book value= $62.83
I don't know what it means
Answer: x + 1 = 15
Step-by-step explanation:
solve -
x= 15 - 1
x = 14
x is a variable so it's not fix value in math
PLEASE HELP ASAP. GIVE ANSWER AND BRIEF EXPLANATION.
The graph is attached
Determine whether the function shown in the graph is even or odd.
A. The function is even because it is symmetric with respect to the y-axis.
B. The function is odd because it is symmetric with respect to the y-axis.
C. The function is even because it is symmetric with respect to the origin.
D. The function is odd because it is symmetric with respect to the origin.
water flows into a reservoir at a rate of 1500+7t^2 gallons/hour. Since there is a tiny hole in the reservoir, the water leaks out at a rate of 4t+t^2 gallons/hour. What is the net change in the amount of water in the reservoir over the time interval of [1,5]
9514 1404 393
Answer:
6200 gallons
Step-by-step explanation:
The rate of change of volume is the difference between the inflow rate and the outflow rate.
v'(t) = (1500 +7t^2) -(4t +t^2) = 6t^2 -4t +1500
The change in volume over the time interval of interest is the integral of this expression over that interval:
[tex]\displaystyle\Delta V=\int_1^5{(6t^2-4t+1500)}\,dt=\left.(2t^3-2t^2+1500t)\right|^5_1\\\\=2(5^3-1^3)-2(5^2-1^2)+1500(5-1) = 2\cdot124-2\cdot24+1500\cdot4\\\\\boxed{\Delta V=6200\qquad\text{gallons}}[/tex]
The amount of water in the reservoir increases by 6200 gallons over the time interval.
What is the slope of the line?
Answer:
24'
Step-by-step explanation:
the slop aims for the angle in which the 78 can go in: hope this helps!!
round 861 to the nearest ten. Enter your answer in the box below.
860. Round down, since your ones place contains a 1.
please mark brainliest and have a great day
Answer:
860
Step-by-step explanation:
because it's rounding to the nearest ten and its only 1 you round it to 60
GIVING BRAINLIEST!
What kinds of observations can you make that might indicate a chemical change is taking place?
Answer:
1. Color Change.
2. Production of an odor.
3. Change of Temperature.
4. Evolution of a gas (formation of bubbles)
5. Precipitate (formation of a solid)
Step-by-step explanation:
A grocery store sells avocados for $1.25 each. The graph shows the cost for different numbers of avocados.
Drag each list, statement, or equation below to show whether it describes the independent quantity, the dependent quantity, or neither.
Answer:
A grocery store sells avocados for $1.25 each. The graph shows the cost for different numbers of avocados.
Drag each list, statement, or equation below to show whether it describes the independent quantity, the dependent quantity, or neither.
Step-by-step explanation:
If f(x) = x2 – 7x - 13 ; find the following.
find f(10)
The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon? (2 points)
plss show work I will mark brainliest
Answer:
a) 37 + 42 =79
=7/100 x 79
=553/100
=5.53
Isaac's total bill = 79 + 5.53 = $84.53
b) 25/100 x 79
= 19.75
= 79 - 19.75
= $59.25 (before tax)
7/100 x 59.25
= 414.75/100
= 4.15
= 59.25 + 4.15
= $63.4 (after adding tax)
First we have to take out the percentage of discount and minus it from the total cost . To find the discounted price with tax, we have to take out the percentage of the tax from the discounted amount and add it to the discounted amount to get the total cost.
Carlos can run 5 miles in 45 minutes, Kelly can run 10 miles in 80 minutes, and Mick can run 30 miles in 170 minutes
Answer:
60 min
Step-by-step explanation:
Answer:
what is the question please
anyone wanna be friends boys or girls:)
Answer:
sure follow my insta uknow.dan28
Step-by-step explanation:
This equation has one solution. 3(x – 2) + 4x = 10(x + 1) What is the solution?
A.) -5
B.) -2
C.) -16/3
D.) -16/7
Answer:
C) -16/3
Step-by-step explanation:
3(x – 2) + 4x = 10(x + 1)
Multiply 3x-6+4x=10x+10
Combine like terms 7x-6=10x+10
Subtract 7x from both sides -6=3x+10
Subtract 10 from both sides -16=3x
Divide -16/3=x
Answer:
Choice C -16/3
Step-by-step explanation:
3(x – 2) + 4x = 10(x + 1) <-- Distribute
3x - 6 + 4x = 10x + 10 <-- Combine all like terms
7x - 6 = 10x + 10 <-- Combine all like terms in one side
7x - 10x = 10 + 6 <-- Simplify
-3x = 16 <-- Isolate x by dividing
x = -16/3
i need help for this question
Answer:
4, 4, and 8
Step-by-step explanation:
2 cups * 2 marshmallows per cup = 4 marshmallows
8 marshmallows / 2 marshmallows per cup = 4 cups of hot cocoa
16 marshmallows / 2 marshmallows per cup = 8 cups of hot cocoa
4.1 Unit Rates
Find each unit rate. Round to the nearest hundredth, if nece
1. $140 for 18 ft?
Answer: 17.5
Step-by-step explanation:
si la pendiente es negativa, la linea no es recta?
En matemáticas, la pendiente de una línea ( m ) se describe cómo rápidamente o lentamente cambiar se está produciendo y en qué dirección, ya sea positiva o negativa. Funciones-aquellos lineales cuya gráfica es una línea recta-tienen cuatro posibles tipos de pendiente: positivos , negativos, cero , e indefinido. Una función con una pendiente positiva está representada por una línea que sube de izquierda a derecha, mientras que una función con una pendiente negativa se representa por una línea que va hacia abajo de izquierda a derecha. Una función con pendiente cero está representado por una línea horizontal, y una función con una pendiente indefinida está representada por una línea vertical.
La pendiente se expresa normalmente como un valor absoluto. Un valor positivo indica una pendiente positiva, mientras que un valor negativo indica una pendiente negativa. En la función y = 3 x , por ejemplo, la pendiente es positiva 3, el coeficiente de x .
En estadística, un gráfico con una pendiente negativa representa una correlación negativa entre dos variables. Esto significa que como una variable aumenta, la otra disminuye, y viceversa. Correlación negativo representa una relación significativa entre las variables x e y , que, dependiendo de lo que son el modelado, puede entenderse como entrada y salida , o causa y efecto .
¿Cómo encontrar la pendiente
pendiente negativa se calcula igual que cualquier otro tipo de pendiente. Lo puede encontrar dividiendo la subida de dos puntos (la diferencia a lo largo del eje y vertical u) por la carrera (la diferencia a lo largo del eje x). Sólo recuerda que la “subida” es en realidad una caída, por lo que el número resultante será negativo.
m = (y2 - y1) / (x2 - x1)
Una vez que se representa gráficamente la línea, verá que la pendiente es negativa porque la línea bajará de izquierda a derecha. Incluso sin dibujar un gráfico, usted será capaz de ver que la pendiente es negativa, simplemente calculando m utilizando los valores dados para los dos puntos.
Por ejemplo, la pendiente de una línea que contiene los dos puntos (2, -1) y (1,1) es:
m = [1 - (-1)] / (1 - 2)
m = (1 + 1) / -1
m = 2 / -1
m = -2
Una pendiente de -2 significa que por cada cambio positivo en x , habrá el doble de cambio negativo en y .
= Pendiente negativa correlación negativa
Un negativo pendiente demuestra una correlación negativa entre los siguientes:
las variables x e y
entrada y salida
variable independiente y la variable dependiente
causa y efecto
Correlación negativa se produce cuando las dos variables de un movimiento función en direcciones opuestas. A medida que el valor de x aumenta, el valor de y disminuye. Del mismo modo, como el valor de x disminuye, el valor de Y aumenta. Correlación negativa, entonces, indica una clara relación entre las variables, es decir, uno afecta al otro de una manera significativa.
En un experimento científico, una correlación negativa mostraría que un aumento en la variable independiente (el manipulado por el investigador) causaría una disminución en la variable dependiente (la medida por el investigador). Por ejemplo, un científico podría encontrar que a medida que los depredadores se introducen en un entorno, el número de presas se hace más pequeño. En otras palabras, existe una correlación negativa entre el número de depredadores y número de presas.
Ejemplos del mundo real
Un ejemplo sencillo de pendiente negativa en el mundo real está bajando una colina. Cuanto más lejos esté de viaje, cuanto más abajo se le cae. Esto puede ser representado como una función matemática, donde x es igual a la distancia recorrida y Y es igual a la elevación.
Otros ejemplos de pendiente negativa demuestran la relación entre dos variables:
Sr. Nguyen bebe café con cafeína dos horas antes de su hora de dormir. Los más tazas de café bebe (entrada), el menor número de horas que van a dormir (salida).
Aisha es la compra de un billete de avión. El menor número de días entre la fecha de compra y la fecha de salida (entrada), más el dinero Aisha tendrán que gastar en pasajes de avión (salida).
John está gastando una parte del dinero de su último cheque de pago en regalos para sus hijos. Cuanto más dinero gasta John (entrada), menos dinero John tendrá en su cuenta bancaria (de salida).
Mike tiene un examen al final de la semana. Desafortunadamente, él prefiere pasar su tiempo viendo deportes en la televisión que estudiar para el examen. Cuanto más tiempo pasa viendo la televisión Mike (entrada), la puntuación del Mike menor será en el examen (de salida). (En contraste, la relación entre el tiempo dedicado al estudio y la puntuación de examen estaría representada por una correlación positiva, ya que un aumento en el estudio conduciría a una mayor puntuación.)
A child weighs 83 pounds. Given that 1 pound is equal to 16 ounces, how many ounces does the child weigh? A. 1,228 ounces B. 1,328 ounces 1,411 ounces D. 1,584 ounces C. A ir 100% of what numhor?
At a university, 60% of the students who apply. Of the students the university accepts, 25% actually enroll If 2000 students apply, how many actually enroll?
Answer:
300 students are enrolled.
Step-by-step explanation:
As the university accepts 60% of the students who apply.
As 2000 students apply, it means that:
2000 × 60% ⇒ 2000 × 0.6 = 1200 students are accepted
Out of these 1200, 25% enrolled
1200 × 25% ⇒ 1200 × 0.25 = 300 students are enrolled
Therefore, 300 students are enrolled.
what is the distance between the points (-6,7) and (-1,1)?
Answer:
8
Step-by-step explanation:
The user above is correct. The square root of 61 is equal to 7.810249676 which can be rounded up to 8.
Convert 45°C to Fahrenheit
Answer:
113
Step-by-step explanation:
it right trust
PLEASE HELP!!! In the diagram, line AB is a perpendicular bisector of segment CD. What is the length of CD?
Answer:
12
Step-by-step explanation:
AD is 6. a bisector splits a line in half. X would equal 6 meaning AD would equal 12.
Please Help Meee!!
11. A Fruit punch recipe contains 8 ounces of pineapple juice and makes enough punch for 20 servings
(a) If 150 servings need to be prepared for a party, how many ounces of pineapple juice are needed?
(b) How many servings will 20 ounces of pineapple juice produce?
what is the percent of 2is 0.5
Answer:
0.01
Step-by-step explanation:
Answer:
25
0.5 is what percent of 2 = 25.
Hope this helped! :)
May i have brainliest!
What does > mean. Greater than or less than.
Answer:
less than
Step-by-step explanation:
Which ordered pair is a solution to the system of linear equations?
Can you please help me? I will mark biggest brain if correct. Thank you.
Answer:
can u give me ur Intro..........
Mr. Rodriguez has owned his truck for 3 months. In that time, he has driven the truck a total of 45 miles.
How many miles has Mr. Rodriguez driven his truck in the 3 months?
Answer:
45 miles
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
45 divided by 3 is 15
sorry, i'm not all that good when it comes to explaining things. just kept it simple:)
I need help with this
9514 1404 393
Answer:
4
Step-by-step explanation:
Dilation centered at the origin multiplies each individual coordinate by the scale factor. Considering the x-coordinates of W and W', we have ...
scale factor = Wx'/Wx = -12/-3 = 4
The dilation scale factor is 4.
Thien and her friends earned $80 washing cars. Thien received $30 from this amount.
What is Thien's share as a percentage of the total amount earned?
6,726 ÷ 85
with the remainder
Answer:
79.13
Step-by-step explanation:
Please help brooo
Rose and Natalie are saving money for a trip. The table shows the amount of money Rose saves each month.
The graph shows Natalie's savings.
Please help
Which statement about rose and natiles is true
A the women save the same amount of money each month
B the initial value of natalies savings is greater than rose
C the rate of change ROC for roes saving is less than natiles
D after 5 months natalies has saved more money than rose