Answer:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Step-by-step explanation:
Answer:
And rounded up we have that n=99
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We assume the value for 
since we don't have previous info. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=99
The tax is 7.25% of $56.96.
7.25% of $56.96 =
= 7.25% * $56.96
= 0.0725 * $56.96
= $4.1296
The answer rounds to $4.13
Answer: 10
Step-by-step explanation:
1. Write the fractions as 2/9 times 45/1.
2. Cross cancel 45 and 9 by dividing by 5, which now gives you 2/1 and 5/1.
3. Multiply 2/1 and 5/1 and you get 10.
I hope this helps!
Answer:
The area of the cover for the hot tub must be:
Step-by-step explanation:
First, you must understand that since a hydromassage tub is mentioned and the diameter, it is assimilated that it is round in its upper part, which is why the formula is used to find the area of a circle:
- <u>Area of a circle = pi * radius ^ 2</u> (you must know that the radius is half the diameter)
Since the diameter is mentioned, it can be replaced in the formula:
- Area of a circle = 3.14 * (3.5 feet) ^ 2
- <u>Area of a circle = 38,465 square feet. Approximately 38 square feet</u>.
