Determine the number of colorings of the circuit C5 with n
colors such that no two...
Determine the number of colorings of the circuit C5 with n
colors such that no two adjacent vertices have the same
color. (Express in the way x^5 −x. You need to find
x.)
The n- dimensional space is colored with n colors such that
every point in the space is assigned a color. Show that there exist
two points of the same color exactly a mile away from each
other.
Of each of these equations, determine the change in the number of
moles (change in n gas)
(a) (NH4)2CO3(s) yields 2NH3 (g) + CO2 (g) + H2O (g) ___________
mol
(b) H2 (g) + Cl2 (g) yields @HCl (g) ___________ mol
(c) 2H2 (g) + O2 (g) yields 2H2O (l) ___________ mol
(d) 2Na (s) + Cl2 (g) yields 2NaCl (s) ___________ mol
Now, determine the orbital diagram for the electrons with a
principal quantum number of n = 4 in a Y atom. (Complete each
energy level from left to right. Enter __ for an unoccupied
orbital, ↑_ for a singly occupied orbital, and ↑↓ for a doubly
occupied orbital.) ndz2 ndxz ndyz ndxy ndx2−y2 npz npx npy Now,
determine the orbital diagram for the electrons with a principal
quantum number of n = 4 in a Y atom. (Complete each energy...
Determine the indicated probability for a binomial
experiment with the given number of trials
n and the given success
probability p. Then find
the mean, variance, and standard deviation.
18.
n = 10, p = 0.2, P(1)
20.
n = 14, p = 0.3, P(8)
22.
n = 6, p = 0.8, P(6)
24.
n = 15, p = 0.9, P(14 or more)
26.
n = 30, p = 0.9, P(More than 27)
Chocolates N&N come in 3 colors: blue, red and yellow. A
chocolate bag should, on average, be filled with 40% of blue, 40%
of red and 20% of yellow. The supervisor test the machine by taking
a sample of bags. He counts 85 blue, 106 red, and 43 yellow in this
sample. α = 0.05
a) What are the null and alternative hypothesis? Define any
necessary variables.
b) What is the test statistic?
c) What is the critical value or...
For each given integer n, determine if n is a sum of two
squares. (You do not have to find the squares.)
(a) n = 19 (b) n = 45 (c) n = 99 (d) n = 999 (e) n = 1000
For each given integer n, determine if n is a sum of two
squares. (You do not have to find the squares.)
(a)n= 19
(b)n= 45
(c)n= 99
(d)n= 999
(e)n=1000
A sample of colored candies was obtained to determine the
weights of different colors. The ANOVA table is shown below. It is
known that the population distributions are approximately normal
and the variances do not differ greatly. Use a 0.05 significance
level to test the claim that the mean weight of different colored
candies is the same. If the candy maker wants the different color
populations to have the same mean weight, do these results suggest
that the company has...