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soldier1979 [14.2K]
3 years ago
8

In a bowl of marbles, there are 10 red ones, 6 blue ones, and green onesa marble is chosen at random from the bowl, find P(red o

ne or blue one)
Mathematics
1 answer:
Zolol [24]3 years ago
6 0

Answer:

It is most-likely a red marble

Step-by-step explanation:

I say it is a red marble because as you said, there are 10 red marbles and 6 blue ones and since there are 4 more red marbles, there is a higher perchentage of it being a red marble . (I hope i answered your question)

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The altitude of a triangle is increasing at a rate of 1.5 1.5 centimeters/minute while the area of the triangle is increasing at
seraphim [82]

Answer:

The base reduces at 3.75cm/min

Step-by-step explanation:

Given

Let

h \to altitude

b \to base

A \to Area

So:

\frac{dh}{dt} = 1.5cm/min

\frac{dA}{dt} = 1.5^2cm/min

The area of a triangle is:

A = \frac{1}{2}bh

Calculate b when A =88cm^2; h =8cm

A = \frac{1}{2}bh

88=\frac{1}{2} * b * 8

88 =b * 4

Solve for b

b = 88/4

b = 22

We have:

A = \frac{1}{2}bh

Differentiate with respect to time

\frac{dA}{dt} =\frac{1}{2}(h\frac{db}{dt} + b\frac{dh}{dt})

Substitute the following values in the above equation

\frac{dh}{dt} = 1.5cm/min        \frac{dA}{dt} = 1.5^2cm/min      b = 22     h = 8

1.5 = \frac{1}{2}(8 * \frac{db}{dt} + 22 * 1.5)

Multiply both sides by 2

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3 = 8 * \frac{db}{dt} + 33

Collect like terms

8 * \frac{db}{dt} = 3 -33

8 * \frac{db}{dt} = -30

Divide both sides by 8

\frac{db}{dt} = -\frac{30}{8}

\frac{db}{dt} = -3.75

4 0
3 years ago
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