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2 years ago

Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:

Mathematics

1 answer:

JulsSmile [24]2 years ago

5 0

Answer:

0.06 = 6% probability of landing open side up.

0.14 = 14% probability of landing closed side up.

0.8 = 80% probability of landing on its side.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. For an experimental probability, these numbers are taken from previous trials.

Landing open side up:

3 out of 50, so:

$p = \frac{3}{50} = 0.06$

0.06 = 6% probability of landing open side up.

Landing closed side up:

7 out of 50, so:

$p = \frac{7}{50} = 0.14$

0.14 = 14% probability of landing closed side up.

Landing on its side:

40 out of 50, so:

$p = \frac{40}{50} = 0.8$

0.8 = 80% probability of landing on its side.

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12 weeks

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2 years ago

Zaid has a peculiar pair of four-sided dice. When he rolls the dice, the probability of any particular outcome is proportional t

Elden [556K]

Answer: a) $\bold{\dfrac{3}{16}}$ b) $\bold{\dfrac{1}{36}}$

<u>Step-by-step explanation:</u>

a) In order to get an even number, you have the 3 different scenarios:

1) Even, Even, Even, Even $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

2) Even, Even, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

3) Odd, Odd, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

<em>Order doesn't matter</em>

Add them up to get your answer: $\dfrac{1}{16}+\dfrac{1}{16}+\dfrac{1}{16}\quad =\large\boxed{\dfrac{3}{16}}$

b) If one die is a 2 and another is a 3 and the other two dice can be any number, then you have 1 possibility for a 2, 1 possibility for a 3, and 6 possibilities for each of the other two dice.

$\dfrac{1\times 1\times 6\times 6}{6^4}\quad =\dfrac{1}{6^2}\quad =\large\boxed{\dfrac{1}{36}}$

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2 years ago

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Answer:

The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2

Real numbers are used in measurements of continuously varying quantities such as size and time, in contrast to the natural numbers 1, 2, 3, …, arising from counting.

Hope this helps!

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2 years ago

Write the quadratic function in vertex form. y = x2 - 16x + 57

MrMuchimi

I hope this helps you