Answer:
Domain : 0° < x <90°
Range: 90° < y < 180°.
Step-by-step explanation:
When we have a function:
f(x) = y
the domain is the set of the possible values of x, and the range is the set of the possible values of y.
In this case we have:
x + y = 180°
such that x < y
Let's analyze the possible values of x.
The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.
Knowing this, we can find the maximum value for y:
0° + y = 180°
y = 180° is the maximum of the range.
Then we have:
0° < x
y < 180°
To find the other extreme, we can use the other relation:
x < y.
Then, we can impose that x = y (this value will not be either in the range nor the domain)
if x = y then:
x + y = x + x = 180
2*x = 180
x = 90°
This will be the maximum of the domain and the minimum of the range.
Then we have that the domain is:
0° < x <90°
And the range is:
90° < y < 180°.
Answer:
8 pounds of gummy bears.
Step-by-step explanation:
To find this answer I did:
40/30 = 4/3
Then,
4/3 x 6 = 24/3
This simplified is 8.
To check:
8/6 x 5 = 40/30
Answer:
Explained below.
Step-by-step explanation:
A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
Values amid 0.7 and 1.0 (-0.7 and -1.0) implies a strong positive (negative) linear relationship amid the variables.
It is provided that Warren noticed a strong negative linear relationship between the success rate and putt distances.
This implies that as the putt distances are increasing the success rates are decreasing and as the putt distances are decreasing the success rates are increasing.
This statement is true, or else you wouldn't have a sphere.