R = 0.9
A value of 0.9 would indicate that the correlation is positive. Since it's also close to the value 1, it would also tell us that the correlation of y and x is strong. Therefore, r = 0.9 would be a strong linear association in which y increases as x increases.
r = -1.0
Since the value of r is negative, this would mean that the correlation is also negative. Furthermore, the value of r is also at the minimum point which is -1.0 thus this would tell us that the correlation is a perfect linear association in which y decreases as x increases.
r = -0.6
Likewise, this r value is also negative thus allowing us to know that y will decrease as x increases. The value of r, which is -0.6, is also close to -1.0. This allows us to tell that it is a strong relationship. Therefore, r = -0.6 is a strong linear association in which y decreases as x increases.
r = 0.1
For this correlation, the r value is positive. This would indicate that the value of y will increase as x increases. Since the r value is only 0.1, we cannot say that it is a strong relationship since it is far from the maximum value for a perfect relationship which is 1. Therefore, r = 0.1 is a moderate linear association in which y increases as x increases.
Answer:
12.05%
Step-by-step explanation:
:D
The Pythagorean Theorem works only with right angle triangles. There are three sides: Side A, Side B, and the hypotenuse.
The formula for the Pythagorean Theorem is: a^2 + b^2 = c^2
To find the answer (without the exponent), you should find the square root.
Now that we have the formula, let's apply it to a triangle:
90^2 + 95^2 = c^2 =
8100 + 9025 = 17125
Square root = 130.86252328302
130.86252328302 is the exact measure of the hypotenuse.
I hope this helped!
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Have an amaing day!
Length of a carton :
Width of the carton :
Height of the carton :
Volume of the carton :
= Length × Width × Height
Therefore, the volume of the carton = 21.85 feet.
First, find the area of the base (the triangle) and then multiply it by the height
to find the area of the triangle you need to know the height. cut the triangle in half and you get a right triangle, from there you can use the Pythagorean theorem. remember since you cut the triangle in half you have to divide one of the sides by 2
a^2 + b^2 = c^2 (plug in known information)
a^2 + (7.5)^2 = (15)^2 (solve, first solve the exponents)
a^2 + 56.25 = 225 (subtract 56.25 on both sides)
a^2 = 168.75 (solve for a, put 168.75 under the square root)
then once you find the area multiply by the known height
