Answer: t=9
Step-by-step explanation:
Answer:
For the critical value we need to calculate the degrees of freedom given by:

And since we have a one tailed test we need to look in the t distribution with 9 degrees of freedom a quantile who accumulates 0.05 of the area on a tail and we got:

Step-by-step explanation:
Previous concepts
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation
x=test value with right arm , y = test value with left arm
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The first step is calculate the difference
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
The 4 step is calculate the statistic given by :
For the critical value we need to calculate the degrees of freedom given by:

And since we have a one tailed test we need to look in the t distribution with 9 degrees of freedom a quantile who accumulates 0.05 of the area on a tail and we got:

Answer:


<em>f(x) and g(x) and not inverse functions</em>
Step-by-step explanation:
Given


Required
Determine f(g(x))
Determine g(f(x))
Determine if both functions are inverse:
Calculating f(g(x))



Expand Brackets




Calculating g(f(x))




Expand Brackets



Checking for inverse functions

Represent f(x) with y

Swap positions of x and y

Subtract 9 from both sides



Divide through by 3


Take square root of both sides


Represent y with g(x)

Note that the resulting value of g(x) is not the same as 
<em>Hence, f(x) and g(x) and not inverse functions</em>
Answer:
The distance the fish pulled the fishing line is <u>401.92 cm.</u>
Step-by-step explanation:
Given:
Radius of fishing spool = 4 cm.
Fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.
Now, to find the distance the fish pulled the fishing line.
So, to get the circumference of the spool first we put formula:
Radius(r) = 4 cm.
Value of π = 3.14.



<em>As given, fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.</em>
Now, to get the distance the fish pulled the fishing line, we multiply 16 with the circumference:

Therefore, the distance the fish pulled the fishing line is 401.92 cm.
Answer:
2/5
Step-by-step explanation:
subtract 130,35,and 74 from 400 you will have 160/400 left then you find the greatest common and divide! and get 2/5