You randomly select an integer from 0 to 19 (inclusively) and then randomly select an integer from 0 to 24 (inclusively). What is the probability of selecting 5 both times?

The probability of selecting 5 both times is 0.002.

Step-by-step explanation:

We are given that you randomly select an integer from 0 to 19 (inclusively) and then randomly select an integer from 0 to 24 (inclusively).

And we have to find the probability of selecting 5 both times.

As we know that the probability of an event is given by;

                Probability =

Now, here between integer from 0 to 19 (inclusively);

Number of times 5 comes = 1

Total number of integers = 20

Similarly, between integer from 0 to 24 (inclusively);

Number of times 5 comes = 1

Total number of integers = 25

So, the required probability =

                                              = = 0.002

Hence, the probability of selecting 5 both times is 0.002.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).