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svet-max [94.6K]
3 years ago
14

What is the probability of drawing a king and a 7 from a deck of cards without replacement?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
6 0
P of king is  4/ 52   = 1/13 

P of 7  = 4/51

total prob = 4/ 663

hope it helepd

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The sum of two numbers is 52 . The larger number is 12 more than the smaller number. What are the numbers?
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Need help fast plz for my pre calc exam
bezimeni [28]

Answer:

<em>h = 8.54 units</em>

Step-by-step explanation:

<u>The Law of Cosines </u>

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

c^2=a^2+b^2-2ab\cos x

Since we know the values of all three side lengths, we solve the equation for x:

\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}

For the triangle ABC in the image, a=10, b=15, c=13, thus:

\displaystyle \cos A=\frac{10^2+15^2-13^2}{2*10*15}

\displaystyle \cos A=\frac{156}{300}

\displaystyle \cos A=0.52

Thus, A = 58.67°

For the right triangle of height h and hypotenuse 10, we use the sine ratio:

\displaystyle \sin 58.67^\circ=\frac{h}{10}

Solving for h:

h = 10\sin 58.67^\circ

h = 8.54 units

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4 is the square root of which number ?
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