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Kisachek [45]
3 years ago
10

Please give me the correct answer now

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0

Answer:

<h2>x = 15.6</h2>

Step-by-step explanation:

In order to find x we use the cosine rule, since we have all two sides and an angle

So we have

x² = ZX ² + XY² - 2(ZX)(XY) cos X

From the question

ZX = 13

XY = 8

X = 93°

Substituting the values into the expression we have

x² = 13² + 8² - 2(13)(8)cos 93

x² = 169 + 64 - 208 cos 93

x² = 233 - 208 cos 93

x² = 243.885

Find square root of both sides

x = 15.616817

We have the final answer as

<h3>x = 15.6 to the nearest tenth</h3>

Hope this helps you

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4% of what number is 40?
ladessa [460]

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The probability that a professor arrives on time is 0.8 and the probability that a student arrives on time is 0.6. Assuming thes
saul85 [17]

Answer:

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Step-by-step explanation:

Given data

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P(A) = 0.8

P(B) =  Student aarive on time

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According to the question A & B are Independent  

P(A∩B) = P(A) . P(B)

Therefore  

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part a)

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Part b)

The probability that the student is late given that the professor is on time

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Part c)

Assume the events are not independent

Given Data

P(\frac{{A}'}{{B}'}) = 0.4

=\frac{P({A}'\cap {B}')}{P({B}')} = 0.4

P({A}'\cap {B}') = 0.4 x P({B}')

= 0.4 x 0.4 = 0.16

P({A}'\cap {B}') = 0.16

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The probability that at least one of them is on time

P(A\cup B) = 1- P({A}'\cap {B}')  

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ii)The probability that they are both on time

P(A\cap  B) = 1 - P({A}'\cup {B}') = 1 - [P({A}')+P({B}') - P({A}'\cap {B}')]

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Step-by-step explanation:

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