In the past few years, outsourcing overseas has become more frequently used than ever before by U. S. companies. However, outsourcing is not without problems. A recent survey by Purchasing indicates that 20% of the companies that outsource overseas use a consultant. Suppose 15 companies that outsource overseas are randomly selected. a. What is the probability that exactly 5 companies that outsource overseas use a consultant

please see attached the annotated solution

Given data

p=20%= 0.2

n=15 companies

let x = 5 the number of companies that outsource to overseas consultants

The binomial  probability distribution is given as

P(x=λ)=nCx*P^x*q^n-x

we also know that q=1-p

what are the things "represented below"?

step-by-step explanation:

nobody can if you dont give the choices

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15