Answer:
Step-by-step explanation:
The volume of a pyramid is
where B = area of the base, and h = height of the pyramid
The base is a square.
The side of the base has length 6. Each face of the pyramid is an equilateral triangle with side of length 6.
An altitude of this triangle measures
The pyramid is formed by 4 equilateral triangles whose bases form a square. The tips of the faces meet at a single point on top. The vertical distance from that point to the center of the base is the height of the pyramid.
Volume of the pyramid:
Answer:
range: {15, 11, 7, -3, -7}
Step-by-step explanation:
when x = -4, y = 15
when x = 2, y = 11
when x = 0, y = 7
when x = 5, y = -3
when x = 7, y = -7
So we know that surface area is top circle +bottom circle+ (circumfurence times height so) 2(π(radius)^2)+(height(2π(r))) so fill in the blanks
it's kind of hard to see but πr means pi times radius (r)
2πr^2+((4.2)(2)(π)(r))=628.3
factor out the 2 so the equation would mean
2((πr^2)+(4.2πr))=628.3
divide both sides by 2
πr^2+4.2πr=314.15
what's interesting is that the first few digits of pi are 3.1415 so we aproximate pi as 3.14 and divide both sides by 3.1415
r^2+4.2r=100
subtract 100 from both sides
r^2+4.2r-100=0
factor
(x-8.11812)(x+12.3181)=0
so (if xy=0 then x or/and y must be 0 so)we set them to 0 so
x-8.11812=0
x=8.11812
second one
x+12.3181=0
x=-12.3181
since radii (or any legnth) cannot be negative, we can cross this solution out so
radius=8.11812
Answer:
the two minus symbols cancel out making it positive 5
Step-by-step explanation:
Answer:
The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.96.
The margin of error is:
In which 
is the standard deviation of the population and n is the size of the sample.
Population standard deviation of 3 years
This means that 
Sample of 18 voters
This means that 
Margin of error:
The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.
