It's in your genes: Human genetic material (DNA) is made up of sequences of the molecules adenosine (A), guanine (G), cytosine (C), and thymine (T), which are called bases. A codon is a sequence of three bases. Replications are allowed, so AAA, CGC, and so forth are codons. Codons are important because each codon causes a different protein to be created (a) how many different codons (b) how many different codons are there in which all three bases are different (c) the bases A and G are called purines, while C and T are called pyrimidines. How many different codons are there in which the first base is a purine and the second and third are pyrimidines?

a. 64

b. 24

c. 16

d. 6/16

e. 1/8

Explanation:

a. How many different codones are there?

there are 64 different codons

b. How many different codons are there in which all three bases are different?

there are 24 different codons in which all three bases are different

c. The base A and G are called purines, while C and T are called pyrimidines. How many different codons are there in which first base is purines and second base is pyrimidines

there are 16 different codons where the which first base is purines and second base is pyrimidines

d. What is the probability that all three bases are different?

probability of all three bases being different is

Number of codons with three different bases / total number of codons

= 24/64 = 6/16

e. What is the probability that first base is purines and second and third base is pyrimidines?

prob is number of codons with first base being purine and second and third base being pyrimidines / total number of codons

= 8/64 = 1/8

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.