Answer:
(0,5), (1,3), (2,1)
Step-by-step explanation:
The radius of the circle and the tangent to the circle form a right angle so we have a right triangle.
Since our triangle is right we can apply the Pythagorean Theorem to find x.
8^2. =6^2 + x^2
X^2= 64-36
x= sqrt 28= 2 sqrt 7 ~ 5.30
You only have two observations to work the equation for the velocity.
You only can assume a linear relation.
Part a.
Calling x the independent variable (time in hours) and y the dependent variable (velocity in km/h) =>
x (time in hours) y (velocity in km/h)
1 5
2 3
Now you use the linear relation:
slope: (3 - 5) km/h/ (2 - 1)h = - 2 km/1h^2 = - 2 km/h ^2
Equation:
y - 3 = slope * (x - 2)
=> y - 3 = - 2 ( x - 2)
=> y - 3 = - 2x + 4
=> y = 3 - 2x + 4
=> y = - 2x + 7
that is the slope-intercept form.
the standard form is y + 2x - 7 = 0
part B.
to draw the graph you can make a table with the points for the first four hours:
x (time in hours) y (velocity in km/h)
-2x + 7
1 -2(1) + 7 = 5
2 -2(2) + 7 = 3
3 -2(3) + 7 = 1
4 -2(4) + 7 = - 1
The graph, of course, is a straight line, because we started from that assumption.
Answer:
The average number of sticks of gum a person chewed daily was greater than 8.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 8
Sample mean, 
= 9
Sample size, n = 36
Alpha, α = 0.05
Population standard deviation, σ = 1
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We fail to accept the null hypothesis and reject the null hypothesis. We accept the alternate hypothesis.
Thus, the average number of sticks of gum a person chewed daily was greater than 8.
50. add all the sides and subtract 180 because it has to equal 180
