Answer: a) 39.5%
Step-by-step explanation:
<em>For random selections, we assume that all the dogs have the same probability of being selected.</em>
In this case, the probability will be equal to the number of golden retrievers divided the total number of dogs.
We have 58 golden retrievers, and the total number of dogs is:
31 + 58 +20 + 38 = 147
Then the probability is:
P = 58/147 = 0.395
If we multiply it by 100%, we obtain the percentage form:
0.395*100% = 39.5%
So the correct option is a.
X would equal 2/3 or in decimal form, 0.6 repeated
Step-by-step explanation:
Step 1
Subtract the mean from your score. For example, if you scored 33 and the mean is 24, you would get a difference of 9.
Step 2
Divide the difference found in Step 1 by the standard deviation of the data to find the z-score, which is the number of standard deviations away from the mean that your score is. For example, if the standard deviation was 4.5, you would have a z-score of 2.
Step 3
Convert the z-score to a percentile using a z-score chart or converter available online (see Resources section). When converting, be sure to use a one-sided test. For example, a z-score of 2 would be in the 98th percentile.