Aspinner has 4 equally-sized sections, labeled a, b, c, and d. it is spun and a fair coin is tossed. what is the denominator of the simplified fraction representing the probability of spinning “c” and flipping “heads”? p(spinning c and flipping heads) =

The denominator of the simplified fraction representing the probability of spinning “C” and flipping “heads” is:  8

and   P(spinning C and flipping heads) =1/8

A spinner has 4 equally-sized sections, labeled A, B, C, and D.

We firstly spun the spinner and then a fair coin is tossed.

Total number of outcomes are:

                4×2=8

( since, any of the four letters could be obtained out of  A,B,C and D

and when a coin is tossed then there are just two outcomes Heads and Tail )

We know that the probability of an outcome is the ratio of the number of favorable outcomes to the total number of outcomes.

          Hence, we get:

       P(spinning C and flipping heads) = 1/8

( since, there is just one outcome out of 8 outcomes such that C and heads come up.

Let H denotes the head and T denotes the tail.

The sample space is:

(A,H) (A,T)

(B,H) (B,T)

(C,H) (C,T)

(D,H) (D,T) )

Hence, the denominator is: 8

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.