Spins a fair spinner numbered 1 - 5 and flips a fair coin. What is the probability of obtaining a factor of 15 and a tail?

3/10

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the fair spinner is numbered 1 - 5, the factors of 15 there are 1, 3 and 5 hence the probability of obtaining a factor of 15

= 3/5

The probability of obtaining a tail from the flip of a coin

= 1/2

Hence the probability of obtaining a factor of 15 and a tail

= 3/5 * 1/2

= 3/10

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.