6. When a company receives an order, there is a probability of 0.42 that its value is over $1000. If an order is valued at over $1000, then there is a probability of 0.63 that the customer will pay with a credit card. a. What is the probability that the next three independent orders will each be valued at over $1000

0.074088

Step-by-step explanation:

Let

A:Value of order over $1000

B:Customer pay with credit card

We are given that

Probability of value of order over $1000,P(A)=0.42

If an order is valued at over $1000, then the probability that the customer will pay with a credit card, P(B/A)=0.63

We have to find  the probability that the next three independent orders will each be valued at over $1000

We know that

When two two events A and B are independent then

Using the formula

The probability that the next three independent orders will each be valued at over $1000=

The probability that the next three independent orders will each be valued at over $1000=0.074088

c

step-by-step explanation:

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i