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Eduardwww [97]
4 years ago
6

A jar holds 15 red pencils and 10 blue pencils. What is the probability of drawing one red pencil from the jar?

Mathematics
2 answers:
PSYCHO15rus [73]4 years ago
4 0
The probability is 5 I believe
guajiro [1.7K]4 years ago
4 0
The answer is 15 out of 25 I just went over this lesson today
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X+2/3 = 9/10 <br> Solve and re write as decimal
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0.23333333...

Step-by-step explanation:

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Graph the parametric equations. <br><br> x = 7 sin (t) + sin (7t)<br> y = 7 cos (t) + cos (7t)
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Step-by-step explanation:

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4 years ago
A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum,  we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = \frac{x^{2} }{16}

For the equilateral triangle, the length of the side =  \frac{23 - x}{3}

Area = \frac{\sqrt{3} }{4}  a^{2}  = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}

Total Area = \frac{x^{2} }{16}  + \frac{\sqrt{3} }{36} (23-x)^{2}

\frac{dA}{dx}  = \frac{x}{8}  -  \frac{\sqrt{3} }{18} (23 - x)\\

\frac{d^{2}A }{dx^{2} }  = \frac{1}{8}  + \frac{\sqrt{3} }{18}  > 0, therefore it is minimum

\frac{dA}{dx}  = 0 \\\\

\frac{x}{8}  -  \frac{\sqrt{3} }{18} (23 - x) = 0\\

x = 10.00m

3 0
3 years ago
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Find the indicated probabilities using the geometric distribution, Poisson distribution, or the binomial distribution. The mean
ExtremeBDS [4]

Answer:

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

In this question:

We only have the mean during an interval, and this is why we use the Poisson distribution.

The mean number of births per minute in a given country in a recent year was about 6.

This means that \mu = 6

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This is P(X = 5). So

P(X = 5) = \frac{e^{-6}*6^{5}}{(5)!} = 0.1606

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

8 0
3 years ago
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