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xenn [34]
3 years ago
12

A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determ

ine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them. What is the probability that both of Eduardo’s partners for the group project will be girls?
Mathematics
2 answers:
dezoksy [38]3 years ago
8 0
For the answer to the question above, the probability that Eduardo pulls out a girl the first time is 16/26 (26 - 10 = 16) which means that pulling out a girl a second time would be 15/25. To find out the probability of both, you have to multiply the fractions together. So (16 × 15)/(25 × 26) which is 240/650. You can simplify this to 24/65, and I believe that is the furthest you can simplify it, which means that the answer is 24/65, I hope this helps!
Serhud [2]3 years ago
5 0

Answer:

the answer is 24/65

Step-by-step explanation:

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If sin(t) = 3/5 and t is in the 2nd quadrant, find cos(t).
NemiM [27]

Cosine is \frac{hypotenuse}{adjacent}.

Apply the equation:

sin(t) = \frac{3}{5} \\3^2 + b^2 = 5^2\\b^2 = 5^2 - 3^2\\\\\sqrt{b^2}  = \sqrt{5^2}- \sqrt{3^2}\\\\\\b = 5 - 3 \\\\b = 2

B is the adjacent side so

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Cos(t) = 5/2

Have a great day,

And I hope this helps you!

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2 years ago
A lighthouse is located on an island 200 feet from the shore of the mainland as
Deffense [45]

Answer: Approximately d = 208.72

============================================================

Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

d = 208.715135166392 which is approximate

d = 208.72

I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.

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Step-by-step explanation:

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Step-by-step explanation:

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