For this case we have an equation of the form:
Where,
h0: initial height
v0: initial speed
a: acceleration
Substituting values we have:
Rewriting we have:
Note: see attached image
Answer:
Answer:
Step-by-step explanation:
base length b = 32 cm
slant height L = 30 cm
height h = √(L²-(½b)²)
= √(30²-0.25·32²)
≅ 25.3771550809 cm
volume V = (⅓)b²h
= (⅓)32²·25.38
≅ 8662.07 cm³
Answer:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Step-by-step explanation:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where 
and 
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Answer:
B: (1,15)
Step-by-step explanation:
The points on the graph increase by 1 for the x-coordinates, and 15 for the y-coordinates.
Answer:
No
Step-by-step explanation:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
