Answer:
The 99% confidence interval has the higher value of z, so it has the largest margin of error
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
So the higher the value of Z, the higher the margin of error.
90% confidence level
So , z is the value of Z that has a pvalue of , so .
95% confidence level
So , z is the value of Z that has a pvalue of , so .
99% confidence level
So , z is the value of Z that has a pvalue of , so .
The 99% confidence interval has the higher value of z, so it has the largest margin of error
Answer:
a) 301.6 cm³
b) 188.5 cm²
Step-by-step explanation:
The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.
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<h3>a) volume</h3>
The volume is given by the formula ...
V = 1/3πr²h
The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...
V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³
The volume of the cone is about 301.6 cm³.
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<h3>b) area</h3>
The lateral area of the cone is given by the formula ...
A = πrl
The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...
A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²
The area of the curved surface is about 188.5 cm².
3.6*70 is 252 50*2.5 is 125 252-125 is 127 127/4.5 is 28.2 so 28.2 seconds
Answer:
4 double cheese burgers, 2 plain hamburgers, 3 cheeseburgers
Step-by-step explanation:
You have 13 patties, 9 breads, and 11 cheeses. So 4 double cheeseburgers take 8 patties, 8 cheeses, and 4 bread rolls, leaving you with 5 patties, 5 breads, and 3 cheeses. Then 2 plain hamburgers give you 3 patties, 3 breads, and 3 cheeses. And lastly you can make 3 cheese burgers.