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Ratling [72]
3 years ago
7

An urn contains 13 red balls and 7 blue balls. Suppose that three balls are taken from the urn, one at a time and without replac

ement. What is the probability that at least one of the three taken balls is blue?
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

0.749

Step-by-step explanation:

The probability that at least one of the three taken balls is blue is the inverse of the probability that none of the three taken balls is blue, aka all 3 of the taken balls are red. The probability of this to happen is

In the first pick: 13/20 chance of this happens

In the 2nd pick: 12/19 chance of this happens

In the 3rd pick: 11/18 chance of this happens

So the probability of picking up all 3 red balls is

\frac{13*12*11}{20*19*18} = \frac{1716}{6840} = 0.251

So the probability of picking up at least 1 blue ball is

1 - 0.251 = 0.749

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Inessa [10]
The answer would be 56.
8/3x5
40,320/6x120
40,320/720
56

Hope this helped!
7 0
3 years ago
Read 2 more answers
Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3
enot [183]

Answer:

y = (x - 3)^2 - 12

(3,-12)

Step-by-step explanation:

Given

y = x^2 - 6x - 3

Solving (a): In vertex form

The vertex form of an equation is:

y = a(x - h)^2 + k

To do this, we make use of completing the square method.

We have:

y = x^2 - 6x - 3

------------------------------------------------------------------

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

------------------------------------------------------------------

y = x^2 - 6x - 3

y = x^2 - 6x + 9 - 9 - 3

y = x^2 - 6x + 9 - 12

Factorize x^2 - 6x + 9

y = x^2 - 3x-3x + 9 - 12

y = x(x - 3)-3(x - 3) - 12

Factor out x - 3

y = (x - 3)(x - 3) - 12

Express as squares

y = (x - 3)^2 - 12

Hence, the vertex form of y = x^2 - 6x - 3 is: y = (x - 3)^2 - 12

Solving (b): State the coordinates of the vertex.

In y = a(x - h)^2 + k; the vertex is: (h,k)

The vertex of y = (x - 3)^2 - 12 will be (3,-12)

3 0
2 years ago
Your teacher is giving you a test worth 100 points containing 40 questions. There are two‐point and four‐point questions on the
Arisa [49]
30 questions worth 2 points, and 10 questions worth 4 points.
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3 years ago
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A freight train from city A to city B and a passenger train from city B to city A left the cities at the same time, at 10:00 AM,
djyliett [7]

Answer: Both trains would meet at 1 pm

Step-by-step explanation:

Let t represent the time at which both trains will pass each other.

The distance between the cities is 360 miles. This means that by the time both trains meet, the total distance covered would be 360 miles.

Distance = speed × time

The freight train is travelling at 50 mph. Distance covered by the freight train in t hours is 50t.

The passenger train is travelling at 70 mph. Distance covered by the passenger train in t hours is 70t.

Since the total distance covered is 360 miles, it means that

50t + 70t = 360

120t = 360

t = 360/120

t = 3 hours

Both trains would meet at 1 pm

8 0
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Which word phrase can be used to represent the algebraic expression 4(21+n)
m_a_m_a [10]
Four times a number plus twenty one
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