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photoshop1234 [79]
3 years ago
8

A toy box contains eight green balls and four purple balls. Suppose you choose a ball at random and then replace it by putting i

t back in the toy box. You then choose a second ball. What is the probability that you have selected a green ball and then a purple ball?
Option A: 2/9
Option B: 1/2
Option C: 1/3
Option D: 2/3
Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer: C.  \dfrac{1}{3}

Step-by-step explanation:

Given: Box contains 8 green balls and 4 purple balls.

Total balls = 8+4 = 12

event 1 = first picking green ball

event 2 = second picking purple balls.

As first ball was replaced, that means both events are independent.

Probability that you have selected a green ball and then a purple ball = P(purple ball )

Formula for probability = \dfrac{\text{favorable outcomes}}{\text{total outcomes}}

Probability of selecting a purple ball (second pick)= \dfrac{4}{12}

=\dfrac{1}{3}

The required probability =\dfrac{1}{3}, so C is correct option.

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Select the ordered pairs that satisfy the equation y=1/5x.Check all that apply.
vovikov84 [41]

Answer: C, E, F

Step-by-step explanation:

  1. Plug in the "x" and "y" values from the ordered pairs into the equation.
  2. For A: 3 = \frac{1(5)}{5} → 3 ≠ 1 → A is eliminated.
  3. For B: 5 = \frac{1(1)}{5} → 5 ≠ \frac{1}{5} → B is eliminated.
  4. For C: 2 = \frac{1(10)}{5} → 2 = 2 → C satisfies the equation.
  5. For D: 10 = \frac{1(4)}{5}→ 10 ≠ \frac{4}{5} → D is eliminated.
  6. For E: -1 = \frac{1(-5)}{5}→ -1 = -1 → E satisfies the equation.
  7. For F: 3 = \frac{1(15)}{5}→ 3 = 3 → F satisfies the equation.
  8. Therefore, C, E, and F are the answers.

4 0
2 years ago
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8 0
3 years ago
Erica and John are making brackets.Erica makes 25 bracelets John makes m More bracelets than Erica which expression represents t
pantera1 [17]

Answer: 50 + m

Step-by-step explanation:

From the question, Erica and John are making brackets and Erica makes 25 bracelets while John makes m more bracelets than Erica. The total number of bracelets made will be:

Erica bracelet = 25

John bracelet = 25 + m

Total bracelet = 25 + 25 + m

= 50 + m

The expression that represents the total number of bracelets Erica and John made is 50 + m

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2 years ago
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