we know that
Angles in a linear pair are supplementary angles
So
Let
A-------> the first angle
B------> the second angle
----> equation 
Substitute the values of A and B in the equation
therefore
the answer is
the value of x is 
Answer:
Quadrant IV
Step-by-step explanation:
Quadrant I = (+ , +)
Quadrant II = (- , +)
Quadrant III = (- , -)
Quadrant IV = (+ , -)
(1/2 , -1.8)
1/2 is +
1.8 is -
(+ , -)
It lies on Quadrant IV
11 units is the correct answer to this question.
You need to calculate how many times the required difference is of the standard deviation, i.e. the ratio difference / standard deviation.
These are the calculations:
Standard deviation = 0.2 mm
Difference between 25.6mm and the mean = 25.6mm - 25mm = 0.6 mm
Ratio difference / standard deviation = 0.6mm / 0.2 mm = 3.
Then, the answer is that a ball with a diameter of 25.6 mm differs 3 standard deviations from the mean.
Answer:
378.5 or just 378
Step-by-step explanation:
This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by. When x = 0, y = 350 so that's the y-intercept of our equation.)
The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.
Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.
If we want y when x = 19, plug 19 in for x and solve for y:
y = 1.5(19) + 350
y = 378.5
Since we can't have .5 of a butterfly we will round down to 378
