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3 years ago

5

Imagine we are throwing a loaded die (6 sides.) The probability that the die shows a 6 is twice as high as the probability of ea

ch of the other numbers. On average, out of these 70 throws, how many times would the die show the number 6?
___ out of 70 throws

1 answer:

lesantik [10]3 years ago

3 0

12 ..........................................

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What is 1/8 +(-3/16) A. 4/2 B. 5/16 C.-5/16 D. -1/16

Dafna11 [192]

Answer:

D. -1/16

Step-by-step explanation:

1/8 +(-3/16) = -1/16

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3 years ago

A triangle has sides with lengths of 11 miles, 15 miles, and 17 miles. Is it a right triangle?

dybincka [34]

Answer:

Below.

Step-by-step explanation:

If its a right triangle it will obey the Pythagoras theorem.

17^2 = 289

11^2 + 15^2 = 121 + 225 = 346

- so NOT a right triangle.

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3 years ago

What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFract

fgiga [73]

Answer:

$|z| = 27$ -- Modulus

$\theta = \frac{\pi}{3}$ --- Argument

Step-by-step explanation:

Given

$((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6$

Required

Determine the modulus and the argument

We have that:

$z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6$

Expand:

$z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$

$z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$

A complex equation can be expressed as:

$z = |z| e^{i\theta}$

Where

$|z| = modulus$

$\theta = argument$

Where

$e^{i\theta} = (cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})$

So:

$z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$ becomes

$z = 27(e^{i\frac{\pi}{18}})^6$

By comparison:

$e^{i\theta} = (e^{i\frac{\pi}{18}})^6$

This gives:

${i\theta} = i\frac{\pi}{18}}*6$

${i\theta} = i\frac{6\pi}{18}}$

${i\theta} = i\frac{\pi}{3}}$

Divide through by i

$\theta = \frac{\pi}{3}$

Hence, the modulus, z is:

$|z| = 27$

And the argument $\theta$ is

$\theta = \frac{\pi}{3}$

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3 years ago

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jeyben [28]

thriller or comedy

0.14 + 0.28 <em>"or" means to add, "and" means to multiply</em>

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4 years ago

Factor 8x+48y using gcf

Vitek1552 [10]

Answer:

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Step-by-step explanation:

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