Answer:
![\boxed{0.15}](https://tex.z-dn.net/?f=%5Cboxed%7B0.15%7D)
Step-by-step explanation:
Part 1: Solve for the total amount of marbles
To solve for the probability of certain events, a population is needed to derive this information from. In order to find this population, add up the amounts of each marble.
8 + 14 + 12 = 34 marbles
Part 2: Determine the probabilities
Now, given the amounts of marbles, simply multiply the ratios of blue marbles to total marbles and the ratio of clear marbles to total marbles to get the combined probability.
![\frac{12}{34}*\frac{14}{33} = \frac{28}{187} \approxeq 0.1497 \approxeq 0.15 * 100 = 15](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B34%7D%2A%5Cfrac%7B14%7D%7B33%7D%20%3D%20%20%5Cfrac%7B28%7D%7B187%7D%20%5Capproxeq%200.1497%20%5Capproxeq%200.15%20%2A%20100%20%3D%2015)
The probability of these events occurring simultaneously is 15%.
Answer:
Step-by-step explanation:
Good evening ,
Look at the photo below for the answer
:)
Answer:
Option D.
Step-by-step explanation:
First, let's do a little review of this excersice. Of the first 150 participants, 36 chose the first picture, and of the other 150 participants, p chose the first picture in the set.
Hence, the proportion of the participants who chose the first picture in the set is 36 300 p. Since more than 20% of all the participants chose the first picture, it follows that 36 0.20 300 !p . This inequality can be rewritten as p + 36 > 0.20(300). Since p is a number of people among the remaining 150 participants, p ≤ 150.
Choices A, B, and C are incorrect and may be the result of some incorrect interpretations of the given information or of computational errors.