Adance studio teaches students a contemporary dance form. it is observed that the probability of students from this studio becoming dance teachers is 0.69. an event management company wants to use this studio for a show. they decide to observe it for a year before making the deal. they enroll 120 students of their own in this studio and decide that once 75 of them get jobs as dance teachers, they will sign the contract with them. what is the probability that the event management company will sign the contract with the dance studio?

The probability that the event management company will sign the contract with the dance studio is:

                       0.023874

Step-by-step explanation:

We need to use the binomial in order to find the probability.

We know that the probability of r successes in n experiments is given by:

where p is the probability of success.

Based on the information we have:

n=120 and r=75

( since, They enroll 120 students of their own in this studio and decide that once 75 of them get jobs as dance teachers)

and p=0.69

( It is observed that the probability of students from this studio becoming dance teachers is 0.69 )

Hence, we get:

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12