Answer:
Answer attached
Step-by-step explanation:
64=0.25n
256=n
Final answer is 256
Answer:
A. 450
Step-by-step explanation:
Using the normal distribution, it is found that the probability is 0.16.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem, the mean and the standard deviation are given by, respectively,
.
The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:
X = 67:


Z = -1
Z = -1 has a p-value of 0.16.
X = 45:


Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at brainly.com/question/24663213
Answer: Last option.
Step-by-step explanation:
In order to estimate the percent "n" of a number"x", you need easy numbers to work with, therefore you can round "n" and "x" up or down; but it is important to remember that this estimation does not give you an exact value.
You can observe that Sergei's first step was to round 149% and 67 up, getting this result:

To verify if this estimate is less or greater than the actual answer, we can find the actual answer. This is:
Therefore, we can conclude that<em> the estimate is greater than the actual answer because the percent and the number were both rounded up</em>.