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blondinia [14]
3 years ago
11

A die is loaded so that the number 6 comes up three times as often as any other number. what is the probability of rolling a 1 o

r a 6?
Mathematics
1 answer:
Mila [183]3 years ago
4 0

Answer:

1/2.

Step-by-step explanation:

Probability totals must add up to 1.

P = probability.

If P(any number other than 6) = x,  then P(6) = 3x, so

3x + 5x = 1

x = 1/8

P(6) = 3/8 and P(not 6) = 1/8

Therefore P(6 or 1) = 3/8 + 1/8 = 1/2 (answer).


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Answer:

It will take the boulder approximately 4.28 seconds to hit the road

Step-by-step explanation:

The given height of the cliff from which the boulder falls, h = 90 feet

The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²

Where;

h = The height of the cliff = 90 ft.

u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)

g - The acceleration due to gravity ≈ 9.81 m/s²

t = How long it will take for the boulder to hit the road below

Plugging in the values gives;

90 = 0 × t + (1/2)×9.81×t² = 4.905·t²

∴ t = √(90/4.905) ≈ 4.28

The time it takes the boulder to hit the road, t ≈ 4.28 seconds.

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Step-by-step explanation:

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What expressions represent 5/6 × 5
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Consider a circle whose size can vary. The circumference of the circle is always 2π times as large as its radius. Let r represen
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