This shows that Marco can buy at most 5 pencils
<h3>Inequalities</h3>
- Let the price of each pencil Marco can buy be "x"
If the cost of markers is $4, and the cost of each lead pencil is $3 with at most $15 spent, hence;
Subtract 4 from both sides
3x ≤ 15
x ≤ 15/3
x ≤ 5
This shows that Marco can buy at most 5 pencils
Learn more on inequalities here:
brainly.com/question/24372553
Answer:
5
Step-by-step explanation:
In order to do this, you plug the point C (5,6) and the point D (2,2) into the distance formula, which was provided below. x2-x1 is 3, and that squared is 9. y2-y1 is 4, and that squared in 16. When adding 9 and 16 together, you get 25. When taking the square root of 25, you get + or - 5, but since distance cannot be negative on the coordinate plane, you get 5.
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.
<h3>What does the Empirical Rule state?</h3>
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.
<h3>What does the Central Limit Theorem state?</h3>
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:
99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:
More can be learned about the Empirical Rule at brainly.com/question/24537145
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