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deff fn [24]
3 years ago
13

The probability of drawing jacks from a deck of cards in ten different trials where cards are replaced after each trial

Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0
Sample space={52 cards} = All possible outcomes
Favorable event {4 Jacks}
Important info: CARD is replaced after each trial

P(drawing Jack) = 4/52 = 1/13 = 0.0769 
It will always be 0.0769 whatever the number of trials

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You are given that cos(A)=−5/13, with A in Quadrant II, and sin(B)=7/25, with B in Quadrant II. Find cos(A+B). Give your answer
blsea [12.9K]

The value of cos(A+B) is 36/325.

<h3>What is Trigonometry?</h3>

The branch of mathematics concerned with specific functions of angles and their application to calculations.

Given:

cos(A)=−5/13

sin(B)=7/25

Now Using identity,

sin²A + cos² A= 1

sin A= √1 - cos² A

sin A = √1- 25/169

sin A= √144/169

sin A= 12/13

Again,

sin²B + cos² B= 1

cos B= √1 - sin² B

cos B = √1- 49/625

cos B= √576/625

cos B= -24/25

Now,

cos (A +B) = cos A cos B - sin A sin B.

= -5/13* (-24/25) - 12/13* 7/25

=  120/325 - 84/325

= 36/325

Hence, the value of cos (A + B) is 36/325.

Learn more about this concept here:

brainly.com/question/17056960

#SPJ1

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