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Mademuasel [1]
3 years ago
11

Suppose you have 10 marbles, They are marked with the numbers: 1,2,3,4,5,6,7,8,9 or 10. They are placed in a jar and you reach i

n and select one. What is the probability that the number you select has a factor of 3?. What is the probability that the number you select is a prime number?. Even number?. Evenly divisible by 13?.
Mathematics
2 answers:
Romashka [77]3 years ago
7 0
Total number of marbles = 10

Total number of marbles that has a factor of 3 = 3
They are {3, 6, 9)

P(factor of 3 ) = 3/10

Total number of marbles that is a prime number = 4
They are {2, 3, 5, 7}

P(Prime Number) = 4/10 = 2/5

Total number of marbles that is even: 5
They are {2, 4, 6, 8, 10}

P(even) = 5/10 = 1/2

Total number of marbles that is divisible by 13 = 0

P(divisible by 13) = 0/10 = 0


sveticcg [70]3 years ago
6 0
Factor of 3 = 3/10
Prime = 1/2
Even = 1/2
Evenly divisible by 13 = no chance 
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uysha [10]

Answer:

Step-by-step explanation:

As it is a second order equation, it means that it has two possible answers and they are x_1 and x_2.

The famous quadratic formula for solving any second order equation is the following:

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Where a is the coefficient of x^2, b is the coefficient of x, and c is the free term. In other words,

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Therefore the possible answer should be the following,

\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}

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6 0
2 years ago
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
Alborosie
Assume that the rule connecting height of the candle to time is a linear one.  If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.

Two points on this line are (6,17.4) and (23, 7.2).  The slope is thus
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m = ---------------  =  -----------  or   -3/5.
           23-6                 10

Find the equation of the line.  I'm going to use the slope-intercept formula:

y = mx + b  =>   7.2 = (-3/5)(23) + b.  Solving for b,   b = 21.

Now    we know that y = (-3/5)x + 21

Let x=11 to predict the height of the candle at that time.

y = (-3/5)(11) + 21 = 14.4 inches  (answer)
7 0
3 years ago
During a sale price, a dress is marked is mark down from a selling price of $68 to a sale price of $44.20 what Is the percent ma
vesna_86 [32]

Answer: It was marked down by 35%

Step-by-step explanation:

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Take the fraction 23.8/68 (because that is how much the price changed and you need to find what percent that is.

You get 35%

3 0
3 years ago
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