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artcher [175]
3 years ago
8

SAT A bag contains 3 red marbles, 2 green

Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

\frac{1}{21}

Step-by-step explanation:

refer to solution in picture

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Franco has 7 quarters in his pocket. Of these, 3 depict the state of Delaware, 2 depict Georgia, 1 depicts Connecticut and 1 dep
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Using addition formula solve tan 15​
salantis [7]

Answer:

2 - \sqrt{3}

Step-by-step explanation:

Using the addition formula for tangent

tan(A - B) = \frac{tanA-tanB}{1+tanAtanB} and the exact values

tan45° = 1 , tan60° = \sqrt{3} , then

tan15° = tan(60 - 45)°

tan(60 - 45)°

= \frac{tan60-tan45}{1+tan60tan45}

= \frac{\sqrt{3}-1 }{1+\sqrt{3} }

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + \sqrt{3} is 1 - \sqrt{3}

= \frac{(\sqrt{3}-1)(1-\sqrt{3})  }{(1+\sqrt{3})(1-\sqrt{3})  } ← expand numerator/denominator using FOIL

= \frac{\sqrt{3}-3-1+\sqrt{3}  }{1-3}

= \frac{-4+2\sqrt{3} }{-2}

= \frac{-4}{-2} + \frac{2\sqrt{3} }{-2}

= 2 - \sqrt{3}

3 0
3 years ago
A mutual funds company’s newsletter says, "A well-diversified portfolio includes assets with low correlations." The newsletter i
LekaFEV [45]

Answer:

The less the correlation between two variables means the more different their output is.

A.) If Rachel wants to diversify her investment by investing on bonds that do not closely follow the returns on the bond. then she should invest in the stocks with low correlation with bonds. I.e: small cap stocks.

B.) Similarly, due to low correlation, small cap bonds will increase ( comparatively to large cap bonds) as the return on her bonds wil drop and vice versa.

8 0
3 years ago
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