Answer: (a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.
(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.
Step-by-step explanation:
(a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.
Explanation: If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals.
(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.
Explanation: The 99% of the confidence intervals includes the population proportion value, it means, the remaining (100% – 99%) 1% of the intervals does not includes the population proportion.
If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals and 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.
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The surface area of the square pyramid will be 78.08 square inches.
<h3>What is surface area?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
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Given that:-
Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.
The surface area of the square pyramid will be calculated by the formula:-
SA = 78.08 square inches
Therefore the surface area of the square pyramid will be 78.08 square inches.
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The scale drawing of Julio's kitchen would change the kitchen size
The actual area is 243 square feet
<h3>How to determine the actual area of Julio's kitchen?</h3>
The parameters are given as:
- Length = 4.5 inches
- Width = 3.375 inches
Start by converting the dimensions to feet using the scale ratio
- Actual length = 4.5 inches/ (1 inch/ 4 feet) = 18 feet
- Actual width = 3.375 inches/ (1 inch/ 4 feet) = 13.5 feet
The area is then calculated as:
Actual Area = Actual length * Actual Width
This gives
Actual Area =18 feet * 13.5 feet
Evaluate the product
Actual Area = 243 square feet
Hence, the actual area is 243 square feet
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Answer:
We can think of it as the zeros after the decimal point.
Step-by-step explanation:
Negative exponents always move the number to the right putting the decimal in front of it.
