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kozerog [31]
3 years ago
15

Beth spins a fair spinner numbered 1 - 8 and flips a fair coin.

Mathematics
1 answer:
Basile [38]3 years ago
4 0

Answer:

1/8

Step-by-step explanation:

To find the probability of two events happening we need to find the probability of each event happening first:

For the spinner there are 8 possibilites (landing 1, 2, 3...8) and we are looking for factors of 3 which are 1 and 3 (3 is prime) therefore:

The chance of landing a factor of 3 on the spinner is 2/8=1/4

For the head there are two possibilities (heads and tails) and only one event we want happening (heads), therefore:

The chance of landing on heads on a fair coin is 1/2

Now to find the chances of both events happening we must multiply them to find that:

(1/2) ⋅ (1/4) = 1/8 the chances of the event happening

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3 years ago
Da<br> A<br> Solve the equation 2x^2+3=0
Anika [276]

Answer:

x = ±i(√6 / 2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Solving quadratics

<u>Algebra II</u>

Imaginary root i

  • √-1 = i

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2x² + 3 = 0

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Subtraction Property of Equality] Subtract 3 on both sides:                        2x² = -3
  2. [Division Property of Equality] Divide 2 on both sides:                                  x² = -3/2
  3. [Equality Property] Square root both sides:                                                    x = ±√(-3/2)
  4. Simplify:                                                                                                             x = ±i(√6 / 2)
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