Solve for k by simplifying both sides of the equation, then isolating the variable.
k= 14/5
Answer:
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Answer:
The correct option is a
Step-by-step explanation:
From the question we are told that
The sample size is n = 415
The sample proportion is 
Now
The null hypothesis is 
The alternative hypothesis is 
The test statistics is mathematically evaluated as
substituting values
Answer:
- Francesca: 2879 1/6 miles
- Sophia: 575 5/6 miles
Step-by-step explanation:
For each mile that Sophia ran, Francesca ran 5 miles. Then Sophia ran 1/6 of their total. Sophia ran ...
(1/6)(3455) = 575 5/6 miles
Francesca ran the remaining miles:
3455 -575 5/6 = 2879 1/6 miles
Please find the attached diagram for a better understanding of the question.
As we can see from the diagram,
RQ = 21 feet = height of the hill
PQ = 57 feet = Distance between you and the base of the hill
SR= h=height of the statue
=Angle subtended by the statue to where you are standing.
=
which is unknown.
Let us begin solving now. The first step is to find the angle
which can be found by using the following trigonometric ratio in
:

Which gives x to be:

Now, we know that
and
will get added to give us the complete angle
in the right triangle
.
We can again use the tan trigonometric ratio in
to solve for the height of the statue, h.
This can be done as:





Thus, the height of the statue is approximately, 8.45 feet.