Assume that when adults with smartphones are randomly selected, 5252% use them in meetings or classes. if 66 adult smartphone users are randomly selected, find the probability that at least 22 of them use their smartphones in meetings or classes.

The probability is 0.9993

Step-by-step explanation:

This situation follows a Binomial distribution in which we have:

So, the probability that x of the n elements are success is given by:

That means that the probability that x adults from the 66 use their smartphone in meeting or classes is:

Where 66Cx is calculated as:

Then, the probability that at least 22 of them use their smartphone in meeting or classes is:

P = P(22) + P(23) + P(24) +... + P(64) + P(65) + P(66)

Therefore, replacing x for each number from 22 to 66 on the equation of P(x), and making a sum with all the probabilities, we get that:

P = 0.9993

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .