Answer:
- the sample mean is 44
- the sample standard deviation is 12.35
Step-by-step explanation:
given information:
data,
= 36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 39.0, 50.23
the number of data, n = 8
the sample mean, xbar
xbar = ∑
/n
= (36.45+67.90+38.77+42.18+26.72+50.77+39.0+50.23)/8
= 352.08/8
= 44
standard deviation, s
s = 
= 
= 
= 12.35
Answer:
V = 43323 mm³
(second answer is already correct)
Step-by-step explanation:
these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.
the volume of a cylinder can be found with the formula:
V = πr²h
(V = volume ; π = pi ; r = radius ; h = height)
We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.
diameter = 19.05
radius = 19.05 / 2 = 9.525
so, r = 9.525
we also are given the height of this cylinder, 38 mm
so, h = 38
π = 3.14159 (π is a constant)
plugging our measurements into the volume formula:
V = πr²h
V = (3.14159)(9.525²)(38)
V = (3.14159)(362.9025)(38)
V = 43323.4894628
[rounded to V = 43323 mm³]
And yes, the volume is not affected by a change in shape. (you are correct)
hope this helps!!
Subtract 4 from both sides and then your answer should be 13.2=h
For a question like this, all you have to do is remember that a percentage is simply a fraction expressed as a decimal. So, all we have to do is:

, and then multiply our decimal answer by 100 to get the percentage:

= 0.34
0.34 x 100 = 34
Therefore 34% of the students walk to school.
I hope this helped and remember to please try and understand the maths that got the answer, not just writing the answer down :))