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3 years ago

A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly

chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

$|\Omega|=8\cdot10=80\\ |A|=1\\\\ P(A)=\dfrac{1}{80}$

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A sauna has an initial temperature of 80° If the opening to the sauna is left open, and the temperature therefore decreases by 3

ddd [48]

Answer:

71.6°

Step-by-step explanation:

=210s÷60s(1 minutes)

=3.5mins

=3.5mins×3%(=1min)

=10.5%

=100%-10.5%

=89.5%

=89.5%/100×80°

=71.6°

Hope this will help ya!

5 0

3 years ago

Please help must show work there are 5 that I'm stuck on

Cloud [144]

you cannot show too much "work"

basically, you remove what is common to all of the factors, and then put brackets, as it will be multiplied back in, remember that when you multiply exponents with the same base, its same as adding them, so subtract to remove...

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7 0

3 years ago

The regression equation y = -0.414x + 106.55 approximates the percent of people in an

murzikaleks [220]

The correct option will be: A. 67%

Explanation

Given equation is: $y = -0.414x + 106.55$ , where $x$ is the length of the film in minutes and $y$ is the percentage of people finish watching the film.

Here, the length of the documentary is given as 95 minutes. So, we will plug $x=95$ into the above equation and get....

$y=-0.414(95)+106.55\\ \\ y=-39.33+106.55\\ \\ y=67.22 \approx 67$

(Rounded to the nearest percent)

So, the percentage of people in an audience who will finish watching a documentary that is 95 minutes long will be 67%

4 0

3 years ago

Se golpea (chuta) un balón sobre el piso y sale dando botes parabólicos cada vez menores. Si se lanzo inicialmente con una veloc

Ipatiy [6.2K]

Answer:

a)d = 180,91 m

b)t = 11,76 seg

Step-by-step explanation:

Para el lanzamiento de proyectil, la ecuación que nos da la velocidad en V(y) es:

V(y) = Voy - g*t

en donde Voy = Vo * senα ( donde Vo es la velocidad inicial, α el angulo del disparo.

Si en esta ecuación hacemos V(y) = 0 estamos en el punto donde el componente en el eje y de la velocidad del proyectil es cero, ese punto es el punto medio del recorrido.

0 = Vo*sen 60⁰ - g*t

g*t = Vo* √3/2

t = { 32 [m/s] * √3 }2*9,8 [m/s²]

t = 16*√3 / 9,8

t = 2,8278 seg

El tiempo total del primer recorrido es entonces por simetría

t₁ = 2 * 2,8278 t₁ = 5,6556 seg

La distancia del primer impacto al suelo es:

x = Vox * t₁ ( Vox es constante Vx = Vo*cos 60⁰ )

x = 32 * (1/2) * 5,6556

x₁ = 90,49 m

Aplicando los mismos criterios ahora para el segundo bote

Ahora Vo = 32 - 32*(1/4)

V = 24 m/s

g*t = 24 * sen 50⁰

t = 24* 0,7660/ 9,8

t = 1,8759

2*t = 2*1,8759

t₂ = 3,7518 seg

x₂ = Vox * t₂

x₂ = 24* 0,6428*3,7518

x₂ = 57,88 m

Y para el tercer bote Vo = 24 - 24(1/4) Vo = 18 m/s α = 40⁰

t = 18 *0,6428/9,8

t = 1,18

2t = t₃ = 2*1,18

t₃ = 2,36 seg

x₃ = Vox * 2,36 Vox = Vo*cos 40 Vox = 18*0,7660

Vox = 13,79

x₃ = 13,79*2,36

x₃ = 32,54 m

La distancia total será

d = x₁ + x₂ + x₃

d = 90,49 + 57,88 + 32,54

d = 180,91 m

y el tiempo total será la suma de los tiempos

t = t₁ + t₂ + t₃

t = 5,65 + 3,75 + 2,36

t = 11,76 seg

8 0

3 years ago

Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give brainliest

creativ13 [48]

Answer:

2over1 multiply by 6over 3then you devide both sides by the given numbers then answer is 6woal number 1out of 6

6 0

2 years ago