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guajiro [1.7K]
3 years ago
13

Plz answer this i need help its done today

Mathematics
1 answer:
olga55 [171]3 years ago
3 0

Answer:

1) 1/10

2) 1/2

3) 1/5

Step-by-step explanation:

1)

1 favorable outcome and 10 total outcomes.

P(3) = \frac{1}{10}

2)

5 favorable outcomes and 10 total outcomes

P(even) = \frac{5}{10} = \frac{1}{2}

3)

2 favorable outcomes and 10 total outcomes

P(multiples\ of\ 5) = \frac{2}{10} = \frac{1}{5}

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Answer:

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Step-by-step explanation:

Let u=arcsin(0.4)

tan(2u)=sin(2u)/cos(2u)

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If u=arcsin(0.4), then sin(u)=0.4

By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.

This also implies cos(u)=sqrt(0.84) since cosine is positive.

Plug in values:

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]

tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]

tan(2u)=[(40)(sqrt(0.84)]/[34]

tan(2u)=[(20)(sqrt(0.84)]/[17]

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0.84=0.04(21)

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tan(2u)=[(20)(2)sqrt(21)]/[170]

tan(2u)=[(2)(2)sqrt(21)]/[17]

tan(2u)=[4sqrt(21)]/[17]

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