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at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of t

baherus [9]

The probability that a student participates in both sports and drama is $0.14$ .

<h3>What is the formula for P(AUB), where A and B are any two events?</h3>

If $A$ and $B$ are any two events, then the probability of the joint event $(A\cup B)$ is given by the following formula: $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.

Suppose $S$ denotes that "a student participates in sports" and $D$ denotes that "a student participates in drama".
So, we have $P(S)=\frac{42}{100}=0.42$ , $P(D)=\frac{25}{100}=0.25$ , $P(S\cup D)=\frac{53}{100}=0.53$ .

We want to find the probability that a student participates in both sports and drama i.e., we want to find $P(S\cap D)$ .

By the above formula, we obtain:

$P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}$

Therefore, the probability that a student participates in both sports and drama is $0.14$ .

To learn more about probability, refer: brainly.com/question/24756209

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6 0

1 year ago

Read 2 more answers

3 times 3 times 3 equals using and exponents

kati45 [8]

$a \times a \times a = a^3\\\\\boxed{3\times 3\times 3 = 3^3}$

8 0

2 years ago

Read 2 more answers

If a new college graduate wants a car costing $21,000, how much must be saved annually over the next four years if the funds ear

fgiga [73]

I'm assuming the funds earn 5% yearly?

Call x the amount he saves every year. The first year's deposit will be multiplied by 1.05 three times, the next will be multiplied by 1.05 twice, the third will be multiplied by 1.05 once, and the fourth will not generate interest (as it will immediately be used to buy the car).

Therefore, x(1.05^3+1.05^2+1.05+1)=21000, so 4.31x=21000. Dividing by 4.31, we see that x is approximately equal to 4872.

8 0

2 years ago

Ayuda:C

nekit [7.7K]

Answer:

2

Step-by-step explanation:

6 0

3 years ago

Gustavo ha forrado una pared de 12,5 m cuadrados con 50 paneles cuadrados iguales de madera ¿ Cuantos decímetros cuadrados mide

Stella [2.4K]

Answer:

25 dm²

Step-by-step explanation:

La superficie de nuestra pared tiene 12.5 m²

Si dividimos la superficie por la cantidad de paneles cuadrados, obtenemos la superficie de cada panel

12.5 m² /50 = 0.25 m²

Sabemos que la superficie de un cuadrado se calcula como l²

Convertimos los 0.25 m² a dm² → 0.25 m² . 100 dm² / 1m² = 25 dm²

Esa es la medida de cada papel.

Si calculamos la medida de cada lado será:

√ (25 dm²) = 5 dm

En conclusión un cuadrado con 5 dm de lado tiene 25dm² de superficie

Si convertimos a m² = 0.25 m²

0.25 m² es la medida que cubre 1 panel de papel

para cubrir 12.5 m² necesitariamos (12.5 . 1) /0.25 = 50 paneles.

3 0

2 years ago