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just olya [345]
2 years ago
7

180 students in a tenth grade high school class take a survey about which video game consoles they own.

Mathematics
1 answer:
Fantom [35]2 years ago
5 0

Answer:

P(A) = 44.44%

P(B) = 50%

P(B|A) = 37.5%

P(B|A) different from P(B).

A and B are independent.

Step-by-step explanation:

If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%

If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%

If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%

To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%

P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.

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Simplify 4/7 + 5/6 whoever possible
Pani-rosa [81]

Hey there!

4/7 + 5/6

≈ 24/42 + 35/42

≈ 24 + 36/ 42 - 0

≈ 59/42

≈ 1 17/42



Therefore, your answer is:

59/42 or 1 17/42

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT.


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

5 0
2 years ago
9 7/8 - ( -2 4/5 - 1/2)
Viefleur [7K]

Answer:

9 7/8 - ( -2 4/5 - 1/2)  = 13.175

Step-by-step explanation:

Hope this is correct and helps.

3 0
2 years ago
The shorter leg of a right triangle is 6m shorter than the longer leg. the hypotenuse is 6m longer than the longer leg. find the
Gennadij [26K]
Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m

x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24

Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30

Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900
7 0
3 years ago
Which statement is true?
Lera25 [3.4K]

Answer:

C is true as 2 pionts = a line

Step-by-step explanation:

I'm smartest in my class

6 0
2 years ago
Por una falda que costaba 50 € Adela apagado en las rebajas 45 ¿Qué tanto por ciento de rebaja tenía la falda
Sliva [168]

Answer:

El porcentaje de descuento fue del 10%.

Step-by-step explanation:

Para encontrar el porcentaje de descuento, puedes calcular la variación entre los dos precios ya que este será el porcentaje aplicado. Para hacerlo debes calcular la diferencia entre los dos precios restando el precio final menos el precio original y luego, debes dividir este resultado entre el precio original y multiplicar por 100:

Precio original=50

Precio final=45

((45-50)/50)*100

(-5/50)*100=-0.1*100=-10%

De acuerdo a esto, la respuesta es que el porcentaje de descuento fue del 10%.

3 0
2 years ago
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