we are given

now, we can find x , y and z components

Arc length calculation:
we can use formula


now, we can plug these values

now, we can simplify it




now, we can solve integral


now, we can plug bounds
and we get

so,
..............Answer
Answer:
722.24 cm
Step-by-step explanation:
The volume formula is L X W X H = V so using that information we can do 18.5 times 32 times 12.2 which gives us 722.24 cm.
Answer:

Step-by-step explanation:
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".
The t distribution or Student’s t-distribution is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".
The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.
Data given
Confidence =0.99 or 99%
represent the significance level
n =16 represent the sample size
We don't know the population deviation 
Solution for the problem
For this case since we don't know the population deviation and our sample size is <30 we can't use the normal distribution. We neeed to use on this case the t distribution, first we need to calculate the degrees of freedom given by:

We know that
so then
and we can find on the t distribution with 15 degrees of freedom a value that accumulates 0.005 of the area on the left tail. We can use the following excel code to find it:
"=T.INV(0.005;15)" and we got
on this case since the distribution is symmetric we know that the other critical value is 
Answer:
No
Step-by-step explanation:
8−2x<12
Subtract 2 from each side
8-8−2x<12-8
-2x <4
Divide each side by -2, remembering to flip the inequality
-2x/-2 >4/-2
x > -2
Is -2 a solution
-2 >-2
This is false, it is equal
Answer: 1194677035.714285
Step-by-step explanation:
= {(82902 * 6930)+(93945*82902)} / 7
= (574510860 + 7788228390) / 7
= 8362739250 / 7
= 1194677035.714285