In which step did the student first make an error?
Answer: Step 2
Step 2 should be:
−3y = -45 + 6z
The last dot to the right would be the total distance.
So at 6 pm he had traveled 45 km.
The answer is 45.
The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
<h3>How to determine the probability?</h3>
The given parameters are:
- Sample size, n = 100
- Population proportion, p = 82%
Start by calculating the mean:



Calculate the standard deviation:



Within ± 0.02 of the population proportion are:


Calculate the z-scores at these points using:

So, we have:


The probability is then represented as:
P(x ± 0.02) = P(-0.43 < z < 0.43)
Using the z table of probabilities, we have:
P(x ± 0.02) = 0.3328
Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
Read more about probability at:
brainly.com/question/25870256
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Because of the outlier 77
Since all the sides of a cube are the same length, then to find the volume just use the volume formula
v = length x width x height
v = 5 1/3 x 5 1/3 x 5 1/3
v = (16/3)^3
v = 4096/27
v = 151.70 inches^3