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Tju [1.3M]
3 years ago
14

A bag contains 9 marbles: 4 are green, 2 are red, and 3 are blue. Laura chooses a marble at random, and without putting it back,

chooses another one at random. What is the probability that both marbles he chooses are red? Write your answer as a fraction in simplest form.
Mathematics
1 answer:
jeyben [28]3 years ago
3 0
P (red) = 2/9
P (red 2nd draw) = 1/8
take 2/9 × 1/8 = 2/72 = 1/36 - Final Answer
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Helen [10]

f(3) = 1.9

Solution:

Given function:

$f(x)=\frac{14}{7+2 e^{-0.6 x}}

To find f(3):

Substitute x = 3 in the given function.

$f(3)=\frac{14}{7+2 e^{-0.6 (3)}}

$f(3)=\frac{14}{7+2 e^{-1.8}}

Let us first simplify 2e^{-1.8}.

Apply exponent rule: a^{-b}=\frac{1}{a^{b}}

$ 2e^{-1.8}=2\frac{1}{e^{1.8}}$

The value of e^{1.8}=6.04964. (using calculator)

$\frac{2}{e^{1.8}}=\frac{2}{6.04964}=0.33059

2e^{-1.8}=0.33059

Substitute this value in f(3).

$f(3)=\frac{14}{7+0.33059}

$f(3)=\frac{14}{7.33059}  

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Hence the value of f(3) is 1.9.

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