Mrs Mullins is using a random number generator to call students. It uses the numbers 1-30. What is the probability that it will pick the number 8 two times in a row

1 in 900, or 0.00111, or 0.11%

Step-by-step explanation:

Assuming that the likelihood of each number being called is equal, there is a 1 in 30 chance that the number 8 will be called each time. The probability that 8 is picked twice in row is given by:

There is a 1 in 900 chance, or 0.00111, or 0.11%.

the co-ordinates of the transformed rectangle are:

d. (0, 0), (0, 3), (-3, 3), (-3, 0)

step-by-step explanation:

from the columns of the given matrix, the co-ordinates of the rectangle before transformation are:

(0, 0), (0, 3), (3, 3), (3, 0)

r =

transformed matrix can be obtained by multiplying the given matrix by r:

columns of the transformed matrix are:

0   0   -3   -3

0   3     3     0

from the columns of the resulted matrix, we can see that the vertices of the transformed triangle are:

(0, 0), (0, 3), (-3, 3), (-3, 0)

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐