Need help on math question thanks
A) 0.303
B) 0.435
C) 0.406
D) 0.154

A) 0.303

The probability that a randomly selected student from the class has brown eyes , given they are male

Step-by-step explanation:

Explanation:-

Given data

                      Brown           Blue           Hazel           Green

Females           13                  4                  6                   9          

Males                10                  2                 9                   12

Let 'B' be the event of brown eyes

Total number of males n(M) = 33

Let B/M be the event of randomly selected student from the class has brown eyes given they are male

The probability that a randomly selected student from the class has brown eyes , given they are male

From table the brown eyes from males = 10

Final answer:-

The probability that a randomly selected student from the class has brown eyes , given they are male

A.) 85 armadillos

B.) 256 female armadillos

4^(n - 1)

C. Yes. It is true.

Step-by-step explanation:

Given that armadillo always give birth to quadruplets—four identical babies (called pups).

And Jenny's armadillo has produced four female pups

If Jenny each of those pups eventually have four more armadillos. And if the four pups grew up to have four more pups each, Jenny will have the following,

The first 4 will produce a total of

4×4 = 16 armadillos

Then, 16 armadillos will produce

16×4 = 64 armadillos

Jenny will then have a total of

64 + 16 + 4 + 1 = 85 armadillos

B.) First generation = 1

Second generation = 1 × 4 = 4

Third generation = 4×4 = 16

Fourth generation = 16×4 = 64

Fifth generation = 64×4 = 256

if you only count the ones in the 5th generation, the number will be 256 armadillos

First generation = 4^(n - 1)

Where n = 1

4^0 = 1

Second generation = 4^(n - 1 )

Where n = 2

4^1 = 4

Therefore,  a formula for the number of armadillos in any given generation will be 4^( n - 1 )

Where n = number of generation

C.) After 25th generation, the number of armadillos will be

4^(n - 1)

Where n = 25

Substitute 25 for n

4^(25 - 1)

4^24 = 2.8×10^14 armadillos

That is more than 280 trillions armadillos. Whereas, the total number of people in the world population is not upto 10 billions

Therefore, it is true that the world would be overrun with armadillos after 20 to 25 generations