Answer:
Step-by-step explanation:
The relationship between male and female tigers is given by the equation
On your graph, you're looking for the little tick between 0 and pi/2. It's at 1. This is your answer, the last option.
<span>prove: the segment joining the midpoints of the two sides of a triangle is parallel to the third side. the coordinates are A(0,0)B(a,0)on the the x axis, and C(c,d), M</span>
Answer:
15.866
Step-by-step explanation:
you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).
- 12+13+29+18+61+35+21 = 189
- 189/7 = 27
you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.
first, subtract the mean from all the data points
- 12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6
then, square each calculated value from above
- -15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36
then, add the squared values together
- 225+196+4+81+1156+64+36 = 1762
you would then divide 1762 by 7 (number of data values given orginally)
finally, take the square root of 251.714 to find the standard deviation
Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
