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3 years ago

Please help me with this properties of circles maze. If you can’t see the lower left box is 56 degrees.

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

What is the lower left box?

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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

2 years ago

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Select the correct answer.<br> Which function is the inverse of function<br> f(x) = -2

Artemon [7]

Answer:

Step-by-step explanation:

let f(x) = y and rearrange making x the subject

y = $\frac{x+2}{7}$ ( multiply both sides by 7 to clear the fraction )

7y = x + 2 ( subtract 2 from both sides )

7y - 2 = x

Change y back into terms of x with x the inverse function, that is

p(x) = 7x - 2

8 0

3 years ago

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Find the LCM and HCF of 110 and 220 by prime factorization what do you observe....pls answer this

ElenaW [278]

Answer: Check if numbers are prime. Composite numbers prime factorization (decomposing, breaking numbers down to prime factors). Inscribe them as a product of prime factors, in exponential notation.

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3 years ago

Which row operation will trangularize this matrix?

Nadya [2.5K]

$\left[\begin{array}{ccc}1&0&1\\0&0&1\\2&0&1\end{array}\right|\left\begin{array}{ccc}1\\6\\10\end{array}\right] \xrightarrow{-2R_1+R_3}\left[\begin{array}{ccc}1&0&1\\0&0&1\\0&0&-1\end{array}\right|\left\begin{array}{ccc}1\\6\\8\end{array}\right]\\\\Answer:\ C.\ -2R_1+R_3$

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3 years ago

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Write 50,000 using power of ten, multiplication and an exponent

Nookie1986 [14]

Answer:

It's 5 x 10 power 4

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2 years ago