(-3,4), perp. To y=1/3x + 4

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

4 0

The answer to the question

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The table displays the number and type of tickets bought for a play that was performed in both the afternoon and evening. Apply

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The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" is 36/363.

<h3>What is the probability?</h3>

Probability is the likelihood that a stated event would occur. The probability that the event would happen lies between 0 and 1.

The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" = 36 / total number of tickets bought

36 / (36 + 12 + 127 + 188) = 36 / 363

To learn more about probability, please check: brainly.com/question/13234031

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Sin(x+pi/4)-sin(x-pi/4)=1 solve the equation

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$sin(x+ \frac{ \pi }{4} )=sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} \\ sin(x- \frac{ \pi }{4} )=sin(x)cos\frac{ \pi }{4} -cos(x)sin\frac{ \pi }{4} \\ \\ \\sin(x+ \frac{ \pi }{4} )-sin(x- \frac{ \pi }{4} ) =1 \\ sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} -(sin(x)cos\frac{ \pi }{4} -cos(x)sin\frac{ \pi }{4} )=1 \\ sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} -sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} =1 \\ cos(x)sin\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} =1 \\$
$2cos(x)sin\frac{ \pi }{4} =1 \\ sin\frac{ \pi }{4} = \frac{ \sqrt{2} }{2} \\ 2cos(x) \frac{ \sqrt{2} }{2} =1 \\ 2 \cdot \frac{ \sqrt{2} }{2}cos(x) =1 \\ \sqrt{2} cos(x)=1 \\$
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