Saying a function f is continuous when x=c is the same as saying that the function's two-side limit at x=c exists and is equal to f(c).
Four types of data (nominal, ordinal, interval, and ratio) that represent values or observations that can be sorted into a category
The z score for a confidence level of 99% is 2.575.. You need to know this to complete this type of problem.. the other two commonly used confidence levels are 90% and 95% having z scores of 1.645 and 1.96 respectively. You need to memorize this!
To find the confidence interval, it will be defined as the sample mean plus/minus the margin of error.. Now to find the margin of error, divide the standard deviation of 12 by the square root of the number of elements in your sample(√250). Then take that result and multiply it by the Z score I mentioned above for a 99% confidence level.
In this case: the sample mean is 70 and the margin of error is approximately 1.95
So to calculate the confidence interval, do the following:
70 - 1.95 = 68.05 rounded to the nearest whole number is 68
70 + 1.95 = 71.95 rounded to the nearest whole number is 72
Looks like that would be the last choice. hope this helps.. it's been awhile since my work with statistics :-)
Answer:
Where x is the amount of dollars the item costs and y is the amount of cents. The first entry of f(x,y) is the amount of dollars to be returned and the second entry is the amount of cents to be returned.
Step-by-step explanation:
let f(x,y) be the function that computes the change.
The parameter x is the amount of dollars it costs and y is the amount of cents. both x and y should be integers and both of them should be positive or 0. Also y must be lower than 100, and x cant be bigger than d. Also if x = d, then it must happen that y ≤ c. The return value f(x,y) is a pair (a,b) where a and b satisfies the same conditions than the ordered pair (x,y) (the change cant be higher than the amount paid). a represents the amount of dollars that has to be returned and b the amount of cents.
Now, lets go to the formula. The formula should depend on wether y is higher than d or not, if that is the case, then after substracting x from d, we need to substract one more and add 100 cents to c-y (because we cant be given negative cents)
18. The perimeter is simply √3 + √3 + √3 + √3 or 4√3cm, since the perimeter is just all sides added together. You could add the decimal numbers together using a calculator, which I'm not sure if you're supposed to do in your class.
The area is just width times length, so √3 • √3 = 3cm².
19. The perimeter is 2√5 + 2(9 - √5).
This can also be written as 2√5 + 18 - 2√5, which leaves you with a perimeter of 18ft.
The area would be √5 • (9 - √5), which leaves you with (9√5 - 5)ft².
20. The formula for the perimeter (or circumference) of a circle is π times the diameter of the circle. Using the radius of the circle, 1/π, the diameter is 2/π, so
π • 2/π = 2. The circumference of the circle is 2 inches.
The area of the circle is calculated with the equation πr², so
π(1/π)² = π • 1/(π²) = π/(π²) = π. The area is simply π in².
