Carefully choosing from a set of alternatives to
1 answer:
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Complete question;
<em>The distribution of lengths of salmon from a certain river is approximately normal with a standard deviation of 3.5 inches. If 10 percent of salmon are longer than 30 inches, which of the following is closest to the mean of the distribution? 26 inches A 28 inches B 30 inches C 33 inches D 34 inches</em>
Option B is correct. The value that is closest to the mean of the distribution is 30inches.
The formula for calculating the z-score is expressed as:
Given the following parameters
If 10 percent of salmon are longer than 30 inches, then:
- P(x>30) = 0.1
Using the z table to get the value corresponding to the mean area 0.1.
- The required z-score will be -1.285
Substitute the resulting parameters into the formula to get the mean of the distribution.
Hence the value that is closest to the mean of the distribution is 30inches.
Learn more here: brainly.com/question/15295437
Answer:
B. -3
Explanation:
Our equation is: . We see that both sides have a term with denominator ax - 2, so let's add
to both sides:
Now multiply both sides by ax - 2:
We essentially want to make the terms on each side match. Look at the coefficient of x² on the left side: it's 24. That means on the right side, it should be 24, as well. Then, set -8a equal to 24:
-8a = 24
a = -3
Thus, the answer is B.