Since the volume of a rectangular prism is V=lwh, we can isolate for h to obtain that h=V/(lw).
So, for the first prism, the height is 117/(4*6.5) = 4.5
Similarly, for the second prism, the height is 175.5/(6.5 * 4) = 6.75
So, the difference in heights is 6.75-4.5=2.25 = 2 1/4 inches
A circles equation is
(x – h)^2 + (y – k)^2 = r^2
The center is at the point (h, k)
The radius is r.
Your circles equation is:
(x – 2)^2 + (y – 8)^2 = 5^2
Better yet, let y = 6 and solve for x.
6 = x^2 –2x + 5
Now solve for x.
Answer:
y=-2
Step-by-step explanation:
The y-axis is a vertical line that has a slope which is undefined. This means it has no m value. The equation of the y-axis is the form x=0. For a line to be perpendicular to a vertical line, it must be a horizontal line like the x-axis. Horizontal lines have a slope of 0 and the x-axis equation has the form y=0.
This line must also be horizontal and the line must be y= a number. The line needs to cross through (-4,-2). Then it must be y= -2 which is a horizontal line through -2 on the y-axis and every point with -2 as the y-coordinate including (-4,-2).
Answer:
Test statistic = 3.863
Step-by-step explanation:
We are told that most adults would erase all of their personal information online if they could. Since the word "most" is used, it means more than 50% or 50 percent.
So, p_o = 0.5
Also, we are told that 58 % of them would erase all of their personal information online if they could.
Thus, p^ = 0.58
Number of randomly selected adults; n = 583
The test statistic formula for hypothesis test for proportion is given by:
z = (p^ - p_o)/[√[p_o(1 - p_o)/n]
Plugging in the relevant values, we have;
z = (0.58 - 0.5)/[√[0.5(1 - 0.5)/583]
z = 0.08/0.02070788416
z = 3.863
