No question about math
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Answer:
g = 6
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 2
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (10, g) and (x₂, y₂ ) = (9, 4)
m = =
= 2 ( multiply both sides by - 1 )
4 - g = - 2 ( subtract 4 from both sides )
- g = - 6 ( multiply both sides by - 1 )
g = 6
Answer:
It would be correct to conclude that approximately 68 percent of the scores would fall between 85 and 115.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 100
Standard Deviation, σ = 15
We are given that the distribution is a bell shaped distribution that is a normal distribution.
Empirical rule
- Also known as 68-95-99.7 rule.
- It states that almost all data lies within three standard deviation of mean for a normal distribution.
- About 68% of data lies within one standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within three standard deviation of mean.
Thus, approximately 68% of data will lie within one standard deviation of mean.
Thus, it would be correct to conclude that approximately 68 percent of the scores would fall between 85 and 115.