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fiasKO [112]
3 years ago
15

How many ways can five cards be selected from a standard deck of 52 cards?​

Mathematics
1 answer:
elena55 [62]3 years ago
6 0

Step-by-step explanation:

If the order of the cards doesn't matter:

₅₂C₅ = 52! / (5! (52−5)!)

₅₂C₅ = 2,598,960

If the order of the cards does matter:

52 × 51 × 50 × 49 × 48 = 311,875,200

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A study was conducted of pleas made by 1 comma 0.32 criminals. Among those​ criminals, 953 plead​ guilty, and 393 of them were s
Luden [163]

Answer: Hence, there is 92.34% of criminals pled guilty.

Step-by-step explanation:

Since we have given that

Total number of criminals = 1032

Number of criminals plead guilty = 953

We need to find the percentage of criminals pled guilty.

So, % of criminals pled guilty is given by

\dfrac{953}{1032}\times 100\\\\=\dfrac{95300}{1032}\\\\=92.34\%

Hence, there is 92.34% of criminals pled guilty.

3 0
3 years ago
Please answer this question I give brainliest thank you! Number 16
lawyer [7]

Answer:

4a

Step-by-step explanation:

The mean is found by adding all of the data set together and then dividing by the amount of individual pieces of data in the set.

(2+3+3+8) = 16

16/4=4

The answer is 4a.

5 0
3 years ago
The graph of the invertible function f is shown on the grid below <br> What is the value of f^-1(6)
katovenus [111]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Please help. How do you find cosine, sine, cosecant and secant with this triangle? ​
Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

  • sine (sin) = opposite/hypotenuse
  • cosine (cos) = adjacent/hypotenuse
  • tangent (tan) = opposite/adjacent
  • cosecant (cosec/csc) = hypotenuse/opposite
  • secant (sec) = hypotenuse/adjacent
  • cotangent (cot) = adjacent/opposite
  • cosecant is the reciprocal of sine
  • secant is the reciprocal of cosine
  • cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

  • Trigonometric Ratio
  • Adjacent = 12
  • Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

  • a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

  • 10²+12² = c²
  • 100+144 = c²
  • 244 = c²

Thus, the hypotenuse is:

\large \boxed{c = 2 \sqrt{61} }

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

  • cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = <u>(6√61) / 61</u>
  • sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = <u>(5√61) / 61</u>
  • cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = <u>√61/5</u>
  • secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = <u>√</u><u>61</u><u>/</u><u>6</u>

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

5 0
3 years ago
What does the width of a sphere mean? Given the width of a sphere, How do you find the volume?​
marishachu [46]

Answer:

Width just means, diameter.

Step-by-step explanation:

5 0
3 years ago
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