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Tamiku [17]
2 years ago
11

The table below shows all of the possible outcomes for rolling two six-sided number cubes. 1 2 First Number Cube Second Number C

ube 1 2 3 4 5 6 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 4 5 What is the probability of rolling an even number first and an odd number second?
Answer choices:
A. 1/9,
B. 1/6
C. 1/4
D.1/2​
Mathematics
1 answer:
Alchen [17]2 years ago
8 0

Answer:

(1/6)

Step-by-step explanation:

ℎ 1/6

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By writing sin 3x = sin(2x+x), show that sin 3x = 3 sin x - 4 sin^3 x.
Ksju [112]

Given the trigonometry expression:

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Sin(A+B) = sinAcosB + cosAsinB

The expression above will then become;

sin(2x+x) =sin2xcosx+cos2xsinx\\sin(2x+x) =2sinxcosxcosx + (1-2sin^2x)sinx\\sin(2x+x) =2sinxcos^2x + (1-2sin^2x)sinx\\

Recall that sin^2x + cos^x = 1, hence;

sin(2x+x) =2sinx(1-sin^2x)+ (1-2sin^2x)sinx\\Expand\\sin(2x+x) =2sinx-2sin^3x+ sinx-2sin^3x\\sin(2x+x) =2sinx + sinx-2sin^3x-2sin^3x\\sisn(2x+x) = 3sinx-4sin^3x

This shows that sin3x =3sinx-4sin^3x (Proved!)

Learn more here: brainly.com/question/7331447

8 0
3 years ago
Martin finds a shirt on sale for 10% off at a department store. The original price was $20. Martin must also pay 8.5% sales tax.
IRINA_888 [86]

Answer:

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Step-by-step explanation:

The question says it cost $20.

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20+1.7

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4 0
3 years ago
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b

Step-by-step explanation:

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2 years ago
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(\frac{360\ parts}{0.25\ hours}) = 1440\ parts\ per\ hour
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3 years ago
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