I need help with this question for today please help me I really need help in this

Neisha ate 1/3 of her birthday cake. If her 3 younger siblings divided the rest equally, what fraction of the cake did they each

Trava [24]

Answer:

2/9 each

Step-by-step explanation:

2/3 would be left from neisha, therefore 2/3 divided by three = 2/9.

7 0

2 years ago

There are 3 red marbles, 5 green marbles, and 2 blue marbles in a jar. Event A is defined as drawing a red marble from the jar o

Anastaziya [24]

P(B/A) is $\frac{5}{9}$ in the simplest form

Step-by-step explanation:

Let us explain how to solve the problem

P(B|A) is called the "Conditional Probability" of B given A
Conditional probability is the probability of one event occurring with some relationship to one or more other events that means event A has already happened, now what is the chance of event B
The formula for conditional probability is P(B|A) = P(A and B)/P(A), where P(A and B) is P(A) . P(B given A occurred)

∵ There are 3 red marbles, 5 green marbles, and 2 blue

marbles in the jar

∴ The total number of the marbles in the jar = 3 + 5 + 2 = 10

∵ Two marbles are drawn from the bag, one after the other without

replacement

- That means red is already occurred when green is happened,

so it is a "Conditional Probability" of green given red

P(B/A) = P(A and B)/P(A)

∵ Event A is defined as drawing a red marble from the jar on

the first draw

∴ P(A) = P(red)

∵ P(red) = $\frac{3}{10}$

∴ P(A) = $\frac{3}{10}$

∵ Event B is defined as drawing a green marble on the second draw

∴ P(B) = P(green)

- The number of marbles after the red is chosen is 9

∵ P(green) = $\frac{5}{9}$

∴ P(B) = $\frac{5}{9}$

- Find P( A and B)

∴ P(A and B) = ( $\frac{3}{10}$ ) . ( $\frac{5}{9}$ )

∴ P(A and B) = $\frac{15}{90}$

- Simplify the fraction by divide up and down by 15

∴ P(A and B) = $\frac{1}{6}$

∵ P(B|A) = P(A and B)/P(A)

- Substitute the values of P(A and B) and P(A) in the rule above

∴ P(B/A) = $\frac{\frac{1}{6}}{\frac{3}{10}}$

- Simplify the fraction

∵ $\frac{1}{6}$ ÷ $\frac{3}{10}$ = $\frac{1}{6}$ × $\frac{10}{3}$ = $\frac{10}{18}$

- Divide up and down by 2

∴ P(B/A) = $\frac{5}{9}$

P(B/A) is $\frac{5}{9}$ in the simplest form

Learn more:

You can learn more about probability in brainly.com/question/10744457

#LearnwithBrainly

7 0

2 years ago

Read 2 more answers

Fred Johnson total insurance premium is 1,200. His employer pays 60% of the total premium. How much does Fred pay?

Gnesinka [82]

We can set up a proportion to find this

60 x
--- = ----
100 1200

then we cross multiply and divide to solve

60 times 1200 is 72000 divided by 100 is 720

now we know his employer pays 720 out of 1200

we subtract to find out how much he pays

1200-720 is 480

fred pays 480

8 0

3 years ago

What is the solution to the equation x2=17/25

uysha [10]

Answer:

The answer is x = ±√ 0.680

Step-by-step explanation:

3 0

3 years ago

Milagros quiere pintar ella misma el salon de su casa. Ha estado investigando y sabe que con 1 kilo de la pintura que mas le gus

amid [387]

Answer:

Milagros tiene que pintar $78m^{2}$ .

Milagros debe comprar 2 botes de pintura.

Step-by-step explanation:

La pregunta está incompleta. Faltan datos. Los adjunto :

'' Milagros ha ido a casa y ha medido las paredes, el techo, las puertas y las ventanas del salón. Todo tiene forma rectangular y las dimensiones son las siguientes :

PAREDES :

2 paredes de 6 m de largo y 3 m de alto.
2 paredes de 4 m de largo y 3 m de alto.

TECHO :

6 m de largo y 4 m de ancho.

PUERTA :

1 puerta de 2 m de alto y 1.5 m de ancho.

VENTANAS :

2 ventanas de 1.5 m de alto y 1 m de ancho. ''

Para la primera pregunta vamos a calcular cuantos metros cuadrados tiene que pintar Milagros haciendo lo siguiente :

Vamos a calcular el área de las paredes y del techo y al resultado le vamos a restar el área de la puerta y de las ventanas (dado que consideramos que la puerta y las ventanas no las pintará).

El área de una superficie rectangular se calcula como largo por alto ⇒

Para las paredes tenemos :

2 paredes de 6 m por 3 m y 2 paredes de 4 m por 3 m ⇒

$2.(6m).(3m)+2.(4m).(3m)=60m^{2}$