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Ulleksa [173]
3 years ago
8

Choose one question from the chart and complete it showing all steps. :)

Mathematics
1 answer:
OLEGan [10]3 years ago
7 0

Answer:

Question 1

Volume of a cylinder = πr²h

r= radius h= height

diameter = 2*radius

diameter = 2* 4cm= 8cm

Volume = π × 4² × 11

= 553.14cm³

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1) We have that there are (52,3) ways to pick 3 cards out of 52 cards. Also, there are (4,3) ways to pick 3 kings out of the 4 total available kings in the deck.  In essence, we need to have one of those ways to be the selected 3 cards. Hence, the probability is the ration (4,3)/(52,3). Computing this:
P=\frac{1*2*3*4}{(1*2*3)*1} /  \frac{52*51*50}{1*2*3} = \\  \frac{4*1*2*3}{52*51*50}=0.0181%
The probability is very low but not negligible.

2) The Pascal triangle defines a recursive relationship. Hence, we would need to calculate all the binomial coefficients up to 51. Thus, it is not at all practical to use the Pascal Triangle to calculate the ways. It is easier to do the direct computation.
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3 years ago
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5 0
3 years ago
Fill in the blank to make the statement true.
Igoryamba

Answer: x= 385/12

Step-by-step explanation:

You would first change the denominator to some number that is common. Then combine the like terms. Lastly, subtract the fraction from the equal and you get your x.

\frac{13}{4} +\frac{1}{6} +x=\frac{71}{2} \\(\frac{39}{12})+(\frac{2}{12})+x=\frac{426}{12} \\\frac{41}{12}+x=\frac{426}{12}  \\x=\frac{385}{12}

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2 years ago
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PLZ HELP MATH
kobusy [5.1K]
Rational. equals 12
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3 years ago
Find the length of x in simplest radical form with a rational denominator
Alisiya [41]

Answer:

<h2>            √3</h2>

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\cos(30^o)=\dfrac{\sqrt3}2

From triangle: \cos(30^o)=\dfrac x2

Therefore:

            \dfrac x2=\dfrac{\sqrt3}{2}\\\\x=\sqrt3

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