Answer:
5 seconds
1220 ft
Step-by-step explanation:
Step 1: Know when the stone reaches the maximum height
We know the maximum or minimum height of a parabola is at the vertex so we need to find the vertex
Step 2: Calculate the vertex
The t coordinate of the vertex can be calculated with 
b = 160
a = 16
Step 3: We know the t coordinate we can find the height at that time
Therefore the stone reaches its maximum height of 1220 ft in 5 secs
Answer:
Step-by-step explanation:
Since n < 30, we will find the t-score and compare that to the t-score of a significance level of 1%.
Since they are asking if the difference is significant, we will have a two tailed test, with degree of freedom being 22, so our critical values are
t < -2.704 and t > 2.704
Our t-value for this situation is
t = ([µ + 5.8] - µ)/(1.4/√23)
It's µ + 5.8 because the problem told us that their levels are 5.8 mm higher than the average, so it's the average, plus 5.8
Simplify the equation...
t = 5.8/(1.4/√23)
t = 19.868
19.868 > 2.704, the evidence supports that there is significant difference between the sample and the population
30 cups, because, 1 fl oz equals 0.125 cups, I hope this helped! :)
Answer:
m = 0.667
Step-by-step explanation:
Calculate and show the solution for the x-intercept and y-intercept of 4x - 6y = 14.
Calculate the graph plot coordinates for 4x - 6y = 14
Solve 4x - 6y = 14 for x and also for y.
Calculate and show the solution for the slope of 4x - 6y = 14
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
4x - 6y = 14
4x - 6(0) = 14
x1 = 3.5 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
4x - 6y = 14
4(0) - 6y = 14
y2 = -2.333 x2 = 0
Get Graph Plot Coordinates
Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).
Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x - 6y = 14 as follows:
(x1,y1) and (x2,y2)
(3.5,0) and (0,-2.333)
Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x - 6y = 14
m = (y2 - y1)/(x2 - x1)
m = (-2.333 - 0)/(0 - 3.5)
m = 0.667
hope this is correct! c:
