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3 years ago

DUE BY 3:30 For the following figure , the value of x is

Mathematics

1 answer:

IgorC [24]3 years ago

3 0

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$x = 8 \: \: in$

$y = 8 \sqrt{2} \: \: \: in$

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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

324 soldiers queued up such that the number of queues is equal to the number of soldiers in each queue. find the number of queue

Yanka [14]

I think so answer will be 164.

8 0

3 years ago

Omar scored an 82% on his first test of the quarter. Will a score of 38 our of 50 on the second test helo or hurt his grade? exp

melamori03 [73]

82% = 82/100

38/50 = 76/100

Average of 76 and 82 = 79

Getting a score of 38 out of 50 will hurt his grade, as it will bring the average down to 79%

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3 years ago

Carol noticed that 7/10 of the children playing soccer were girls. Which statement could be correct?

Maslowich

<span>Carol noticed that 7/10 of the children playing soccer were girls. Which statement could be correct?
A. There were 28 girls and 12 boys playing soccer.
28 : x% = 40 (the total number of children) : 100%
40x = 28 * 100
40x = 2800
x = 2800 / 40
x = 70%
There were 70% of girls in the class.
70 / 100 = 0.7
7/ 10 = 0.7
This is why A is the correct answer.

</span>

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3 years ago

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