If (x-10) is a factor of the polynomial P(x), which of the following do we know to be true?
2 answers:
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Answer:
y = 20/3 * x + 125/3
Question 4 : 3 hours study for score 55 (?)
Step-by-step explanation:
2 points (2, 55) (5,75) were chosen to plot the line of best fit, cuz 5 on the above and 5 below it.
y = mx + b
m = (75 - 55) / (5 - 2) = 20/3
b = y - mx = 55 - (20/3) * 2 = 125/3
Equation: y = 20/3 x + 125/3
Using the Empirical Rule and the Central Limit Theorem, we have that:
- About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
- About 99.7% of the sample mean fall with in the intervals $1.46 and $2.
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .
In this problem, the standard deviation of the distribution of sample means is:
68% of the means are within 1 standard deviation of the mean, hence the bounds are:
- 1.73 - 0.09 = $1.64.
- 1.73 + 0.09 = $1.82.
99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:
- 1.73 - 3 x 0.09 = $1.46.
- 1.73 + 3 x 0.09 = $2.
More can be learned about the Empirical Rule at brainly.com/question/24537145
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