Using the Empirical Rule, it is found that:
- a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
- b) Approximately 95% of the amounts are between $38.03 and $49.11.
- c) Approximately 68% of the amounts fall between $40.73 and $46.27.
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The Empirical Rule states that, in a <em>bell-shaped </em>distribution:
- 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.
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Item a:


Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.
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Item b:


Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.
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Item c:
- 68% is within 1 standard deviation of the mean, so:


Approximately 68% of the amounts fall between $40.73 and $46.27.
A similar problem is given at brainly.com/question/15967965
2016^2016 = 2^10080 * 3^ 4032 * 7^2016
so the answer is 1
Best to look up the formula for the surface area of a sphere and then find it:
A = 4πr^2, where r is the radius of the sphere. Then,
A = 4π(15 in)^2 = 4(3.14)(225 in^2) = 2826 in^2 (answer)
This is represented by the formula given in the lower left.
Answer:
Step-by-step explanation:
1). x² - 10x + a²
By using the formula of (a - b)² = a² - 2ab + b²
x² - 2(5)x + a²
Therefore, for a perfect square of the expression a should be equal to 5.
Therefore, (x² - 10x + 25) will be the answer.
2). x² + 2ax + 36
= x² + 2(a)x + 6²
For a perfect square of the given expression value of a should be 6.
x² + 2(a)x + 6² = x² + 2(6)x + 6²
= (x + 6)²
Therefore, x² + 12x + 36 will be the answer.
3). 

To make this expression a perfect square,
a² = 
= 
Therefore, the missing number will be
.
Answer: 11
Step-by-step explanation:
The sum of 8 and 3
Sum is the same as addition.
Therefore, the equation is 8+3
Solve 8+3
8+3=11