By the converse of the Pythagorean Theorem, if 8.6 ^2 = 8.1 ^2 + 2.6 ^2 , then the triangle is right. 73.96 is not equal to 72.37 so the triangle is not a right triangle.
8.6^2 is greater than (8.1^2 + 2.6^2) which means that the triangle is obtuse.
The obtuse angle is opposite the 8.6 side.
Ahiffggggggggggggt was the morning I was going over the
= 9 * 10^5 * 3 * 10^10
= 27 * 10^5 * 10^10
= 27 * 10^15
= 2.7 * 10^16 - The best selection appears to be the first option.
Good luck :)
Lisa is an avid runner and is training for a marathon, so she runs everyday to achieve this purpose. In this way, she goes out to run for six days, so we have the following data set regarding the miles she runs:
1st day = 3.2 miles
2nd day = 7.5 miles
3rd day = 9.8 miles
4th day = 11.5 miles
5th day = 2.9 miles
6th day = 3.5 miles
<span>Finally, she ran a total of:
3.2+7.5+9.8+11.5+2.9+3.5 =
38.4 miles
</span><span>
What was the average distance of each run?
This result can be get as the sum of each run (or the </span>total of miles she run<span>) divided by the numbers of days she ran.
</span>

<span>
Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?
Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:
</span>

∴

Isolating x:

∴

Therefore, she need to run:

in order to achieve the goal of 6 miles per day.
Answer:
the approximate probability that the insurance company will have claims exceeding the premiums collected is 
Step-by-step explanation:
The probability of the density function of the total claim amount for the health insurance policy is given as :

Thus, the expected total claim amount
= 1000
The variance of the total claim amount 
However; the premium for the policy is set at the expected total claim amount plus 100. i.e (1000+100) = 1100
To determine the approximate probability that the insurance company will have claims exceeding the premiums collected if 100 policies are sold; we have :
P(X > 1100 n )
where n = numbers of premium sold





Therefore: the approximate probability that the insurance company will have claims exceeding the premiums collected is 