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den301095 [7]
3 years ago
9

Please someone help me. Thank you.​

Mathematics
1 answer:
KiRa [710]3 years ago
3 0

Answer:

Step-by-step explanation:

take x degree as reference angle

using tan rule

tan x=opposite/adjacent

tan x=6.1/5.1

tan x=1.19

x=tan^{-1}1.19

x=49.95

x=50 degree

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In a certain Algebra 2 class of 30 students, 19 of them play basketball and 12 of them play baseball. There are 8 students who p
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Probability that a student chosen randomly from the class plays basketball or baseball=?

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P(A \cup B)=P(A)+P(B)-P(A \cap B)---------------(1)

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P(A) = Probability of choosing  a student playing basket ball

P(B) =  Probability of choosing  a student playing base ball

P(A \cap B) =  Probability of choosing  a student playing both the games

<u>Finding  P(A)</u>

P(A) = \frac{\text { Number of students playing basket ball }}{\text{Total number of students}}

P(A) = \frac{19}{30}--------------------------(2)

<u>Finding  P(B)</u>

P(B) = \frac{\text { Number of students playing baseball }}{\text{Total number of students}}

P(B) = \frac{12}{30}---------------------------(3)

<u>Finding P(A \cap B)</u>

P(A) = \frac{\text { Number of students playing both games }}{\text{Total number of students}}

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Now substituting (2), (3) , (4) in (1), we get

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P(A \cup B)= \frac{31}{30} -\frac{8}{30}

P(A \cup B)= \frac{23}{30}

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