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Answer: Maria has 10 bills of 5€ and 10 bills of 10€.
She has a total of 150€.
Step-by-step explanation:
Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.
Set up a system of equations:
Use the Substitution method to solve the system of equations:
1. Solve for "f" from the first equation:
2. Substitute the equation obtained into the second equation and solve for "t".
Then:
3. Substitute the value of "t" into the equation and evaluate:
Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.
So the total amount of money she has, is:
She has a total of 150€.
The critical value of r is mathematically given as r = +0.487, with no significant linear correlation. Option A.
<h3>What are the critical values of r?</h3>
Question Parameters
r = -0.868
n = 5
df = 5 - 2
df = 3
Critical values
Generally, there exists no linear correlation between the Critical values
as r=0.878
In conclusion, Critical values: r = +0.487, no significant linear correlation
Read more about Critical values
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The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Data;
- Angle = 30 degree
- Opposite = 35
- Adjacent = x
Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.
SOHCAHTOA
Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Learn more on trigonometric ratio here;