You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 2 and flipping heads? Write your answer as a fraction in simplest form. The probability is .

Assuming the cube is 6-sided and is fair, the probability of rolling a

5

is

1

6

(because there is an equal chance of rolling a

1

,

2

,

3

,

4

,

5

, and

6

, so the probability of each is 1 divided by the total number of options).

Assuming the coin is fair, the probability of tossing tails is

1

2

(because there are two, equally likely options).

Therefore, to get the probability of rolling a

5

AND tossing tails, you multiply

(

1

6

)

by

(

1

2

)

, and get the answer

(

1

12

)

.

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

4096 bacteria

step-by-step explanation: