A light bulb manufacturing process results in 6% of the light bulbs being defective. If 5 light bulbs are randomly
selected, find the probability that all of the light bulbs are
fully functioning.

Step-by-step explanation:

Given

Represent the event that a bulb is defective with p.

So:

Required

Determine the probability that all 5 are fully functioning

Represent the event that a bulb is defective with q.

So:

Make q the subject

Substitute 6% for p

Convert % to decimal

If 5 were selected and all are functioning, the event is represented as: q q q q q

And the probability is:

Substitute 0.94 for q

--- approximated

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²

true

step-by-step explanation:

it is more then likely a review to you prepare for an upcomign test or quiz