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asambeis [7]
3 years ago
8

Use the following problem to answer questions 7 and 8. Carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playi

ng cards. 7. What is the probability that she chooses 3 spades and 2 cards that are not spades
Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer:

The probability that she chooses 3 spades and 2 cards that are not spades is

0.08154

Step-by-step explanation:

52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts

spades = 13

Non spades = 39

Selecting 3 spades = 13C3 (Using combination)

selecting 2 spades = 39C2

in total 5 cards are drawn = 52C5

Probability of drawing 5 cards (3spades+2 non spades)

                               =\frac{ 13C3*39C2}{52C5} = 0.08154

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On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = (\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})

OP.Cosθ = 1×Cosθ = \frac{1}{\sqrt{2}}

Cosθ = \frac{1}{\sqrt{2}}

θ = \frac{\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -\frac{1}{\sqrt{2}}

Sinθ = -\frac{1}{\sqrt{2} }

θ = \frac{5\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integer

Common value of θ will be, θ = \frac{7\pi }{4}

Option B will be the answer.

5 0
3 years ago
MATH GIVING OUT BRAINLY TO CORRECT ANSWER
dezoksy [38]

Answer:

C

Step-by-step explanation:

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4 0
3 years ago
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F(n) = 2(n+2)

can also be written as
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4 0
3 years ago
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After the tour, Tyler’s mom bought a pretzel and a bottle of water for each family member. The bottles of water cost $1.50 each.
Delicious77 [7]
Each pretzel is 4.5 $

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3 years ago
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1.Find n. 2. Find n. 3.Find n. 4.Find n. <br> 2/9 = 14/n 12/18 = n/36 30/38 = 15/n 60/66 = n/22
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Step-by-step explanation:

cross multiply all equations seperately

1,n=63

2.n=24

3.n=19

4.n=20

7 0
3 years ago
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