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3 years ago

10

You roll a fair 6 sided die. what is p (roll less than 4)

1 answer:

Darina [25.2K]3 years ago

3 0

Answer:

1/2

Step-by-step explanation:

Since this die has 6 sides, for each roll it has 6 outcomes.

Hence the probability of it landing on any specific number is 1/6.

Since there are only 3 outcomes wanted (roll less than 4 so it can be 1, 2, or 3) then we have to add the probability of each number being rolled so that is:

1/6 chance of rolling1

1/6 chance of rolling2

1/6 chance of rolling3

1/6 + 1/6 + 1/6

=3/6

=1/2

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For each $n \in \mathbb{N}$, let $A_n = [n] \times [n]$. Define $B = \bigcup_{n \in \mathbb{N}} A_n$. Does $B = \mathbb{N} \time

andre [41]

Answer:

No, it is not.

Step-by-step explanation:

The set $C = \mathbb{N} \times \mathbb{N}$ contains every ordered pair of Natural numbers, while B only contains those pairs in which both values in each entry are the same. Therefore, C is a bigger set than B, but B is not equal to C because for example C contains $[1] \times [2]$ and B doesnt because 1 is not equal to 2.

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3 years ago

8x - 2y if x=3, y=5<br> (1) 24<br> (2) 15<br> (3) 14 <br> (4) 10

ladessa [460]

Answer: (4) 14

Step-by-step explanation:

8x - 2y if x is 3 and y is 5

8x = 24

2y = 10

24 - 10 = 14

So 8x - 2y is 14.

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3 years ago

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Step-by-step explanation:

A. gof=g(f(x))

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Find the measure of unknown angle

Lemur [1.5K]

Answer:

Step-by-step explanation:

z = 102 degree (opposite angles of a parallelogram are equal)

z + x + 34 = 180 degree 9sum of adjacent angles of a parallelogram is 180 degree)

102 + x + 34 = 180

x = 180 - 136

x = 44 degree

y + 102 + x = 180 degree (sum of interior angles of a triangle is 180 degree)

y + 102 + 44 = 180

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3 years ago

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A beam of light from a monochromatic laser shines into a piece of glass. The glass has thickness L and index of refraction n=1.5

boyakko [2]

Additional information to complete the question:

How long does it take for a short pulse of light to travel from one end of the glass to the other?

Express your answer in terms of some or all of the variables f and L. Use the numeric value given for n in the introduction.

T = ___________ s

Answer:

$T = \frac{15}{f}$

Step-by-step explanation:

Given:

Thickness og glass = L

Index of refraction n=1.5

Frequency = f

$Wavelength = \frac{L}{10}$

λ(air) $= \frac{L}{10}$

λ(glass) = λ(air) / n

= $\frac{\frac{L}{10}}{1.5}$

= $\frac{L}{10} * \frac{1}{1.5}$

= $\frac{L}{15}$

V(glass) = fλ(glass)

$= f * \frac{L}{15}$

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3 years ago