The correct answer is cone.
There's only one face, and only one vertex that leads to a single base. There are no edges because the base perimeter is not considered to be an edge because it's a vertex.
Common ratio (r) can be found by dividing the second term by the first term.
0.02 / -0.1 = -0.2
an = a1 * r ^ (n - 1)
a1 = first term = -0.1
r = common ratio = -0.2
an = -0.1(-0.2)^(n - 1)...answer is C
Answer:
x-intercept is 50 y-intercept is 40
Step-by-step explanation:
solve for x, then solve for y
Answer:
$2.57
Step-by-step explanation:
divide 5,140 by 20,
5,140/20=257=2.57
Answer:
S = {0,2,3,4}
P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001
Mean = 0.879
Standard Deviation = 1.033
Step-by-step explanation:
Let the number of people having same birth month be = x
The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)
The number of ways of distributing their birthdays = 12⁴
The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)
P(X = 0) = ![\frac{12P4}{12^{4} }](https://tex.z-dn.net/?f=%5Cfrac%7B12P4%7D%7B12%5E%7B4%7D%20%7D)
P(X=0) = 0.573
P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)
P(X=2) = ![\frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }](https://tex.z-dn.net/?f=%5Cfrac%7B3C2%20%2A%2012P2%7D%7B12%5E%7B4%7D%20%7D%20%2B%20%5Cfrac%7B4C2%20%2A%2012P3%7D%7B12%5E%7B4%7D%20%7D)
P(X=2) = 0.401
P(X=3) = ![\frac{4C3 * 12P2}{12^{4} }](https://tex.z-dn.net/?f=%5Cfrac%7B4C3%20%2A%2012P2%7D%7B12%5E%7B4%7D%20%7D)
P(x=3) = 0.025
P(X=4) = ![\frac{12}{12^{4} }](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B12%5E%7B4%7D%20%7D)
P(X=4) = 0.001
Mean, ![\mu = \sum xP(x)](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Csum%20xP%28x%29)
![\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%280%2A0.573%29%20%2B%20%282%2A0.401%29%20%2B%20%283%2A0.025%29%20%2B%20%284%2A0.001%29%5C%5C%5Cmu%20%3D%200.879)
Standard deviation, ![SD = \sqrt{\sum x^{2} P(x) - \mu^{2}} \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2} * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}](https://tex.z-dn.net/?f=SD%20%3D%20%5Csqrt%7B%5Csum%20x%5E%7B2%7D%20P%28x%29%20-%20%5Cmu%5E%7B2%7D%7D%20%20%5C%5CSD%20%3D%5Csqrt%7B%20%5B%20%280%5E%7B2%7D%20%2A%200.573%29%20%2B%20%282%5E%7B2%7D%20%20%2A%200.401%29%20%2B%20%283%5E%7B2%7D%20%2A%200.025%29%20%2B%20%284%5E%7B2%7D%20%2A%200.001%29%5D%20-%200.879%5E%7B2%7D%7D)
SD = 1.033