If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right then 3 units up. This is location where she should plot the point.
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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Find the mean, median and mode of these sets of data: a. 14,12,24,36,23 c. 2,3,4,5,30 b. 114,112,124,136,123 d. x, 2x,3x,4x,5x
prisoha [69]
Answer:
first u need to rearrange the three sets of data in ascending order
i'll just do a set here as an example
a: 12, 14, 23, 24, 36
Mean: (12+14+23+24+36)/5 = 21.8
Median: 23
Mode: 0 (as none of the datum is repetitive)
The right answer is Option B: 7p+12t=62
Step-by-step explanation:
Given,
Amount spent by Art and his friends = $62
Cost of one ticket = $12
Cost of t tickets = 12t
Cost of one bucket of popcorn = $7
Cost of p buckets of popcorn =7p
According to given statement;
7p+12t=62
7p+12t=62 represents the number of tickets bought, t, and the number of buckets of popcorn bought, p.
The right answer is Option B: 7p+12t=62
Keywords: addition, linear equation
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So the total price would be 100% + 8% tax = 108% of the original price. Since 108% written as a decimal is 1.08, we can do the following:
5,000 * 1.08 = 5,400