Assume that when adults with smart phones are randomly selected 46% use them in meetings or classes if 20 adult smartphone users are randomly selected find the probability that exactly 12 of them use their smart phones in meetings or classes

0.0818.

Step-by-step explanation:

This question can be solved using the binomial theorem because the probability of success is fixed.

Total adults = n = 20

Required attempts = r = 12

Probability of success = p = 3/4 = 0.46

Binomial Theorem formula:

P(X=r) = nCr * p^r * (1-p)^(n-r).

Substituting the values:

P(X=12) = 20C12 * 0.46^12 * (1-0.46)^8

P(X=12) = 125970 * 0.46^12 * (0.54)^8 = 0.0818 (to the nearest 3 significant figures).

So the probability that exactly 12 people use their smart phones in meetings or classes out of 20 is 0.0818!!!

the answer is 375 miles

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq