Answer:

Step-by-step explanation:
Simplify to:

Multiply both sides by 7
2(x-2)=28x
Divide both sides by 2
x-2=14x
Subtract x from both sides
2=14x-x
Simplify 14x-x to 13x
2=13x
Divide both sides by 13

Answer:

Answer:
The value of the test statistic is 
Step-by-step explanation:
The formula for the test statistic is:

In which X is the statistic,
is the mean,
is the standard deviation and n is the number of observations.
In this problem, we have that:

So



The value of the test statistic is 
Answer:
<h2>The length of the line segment VT is 13 units.</h2>
Step-by-step explanation:
We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

Where

Replacing all these expressions, we have

Solving for
, we have

Now, notice that chord VT is form by the sum of RT and RV, so

Replacing the value of the variable

Therefore, the length of the line segment VT is 13 units.