12 gardeners at $26per day and 8 clerks at $17 per day what is the mean daily wage in dollars of the 20 employees?

A company produces a certain product, and each unit of this product may have 3 different types of defects. Let Di, D2,Ds represe

Stella [2.4K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a) 0.88

b) 0.02

c) 0.01

d) 0.99

Step-by-step explanation:

Step one: State the given parameters

$P(D_{1} ) = 0.12$ $P(D_{2} ) = 0.07$

$P(D_{3} ) = 0.05$ $P (D_{1} U D_{2} ) = 0.13$

$P(D_{1}n D_{2}n D_{3}) = 0.01$ $P(D_{1} U D_{3}) = 0.14$

Step 2 : Obtain the probability that a unit does not have a type 1 defect

$P(\frac{}{D_{1} })$ = $1 -P(D_{1} )$

= $1 - 0.12$

= 0.88

Step 3 : Obtain the probability that a unit has both type 2 and 3 defect?

The probability of the unit having both type 2 and type 3 defect is denoted as $P(D_{2} n D_{3} )$

This is calculated as

$P(D_{2}n D_{3}) =P(D_{2} ) + P(D_{3}) - P(D_{2} U D_{3})\\\\ = 0.07 + 0,05 - 0.13$

= 0.02

Therefore P(D_{2} n D_{3} ) = 0.02

Step 4 : Obtain the probability that the unit has both a type 2 and type 3 ,but not a type 1 defect

Let $P(\frac{}{D_{1}} n D_{2} n D_{3} )$ denote the probability that the unit has both a type 2 and type 3 ,but not a type 1 defect.

This can be calculated as follows :

$P(\frac{}{D_{1}} n D_{2} n D_{3} ) = P(D_{2} n D_{3}) - P(D_{1} n D_{2}nD_{3})$

= 0.02 - 0.01

= 0.01

Step 4 : Obtain the probability that a unit has at most two defects

P(at most 2 defects) = 1 - P(all three defects)

= $1- P(D_{1} n D_{2}nD_{3})$

= 1 - 0.01

= 0.99

7 0

3 years ago

F(x)=4(x+2)(x+2)-6 in standard form

ollegr [7]

Answer:

4x^2 + 4x -2

Step-by-step explanation:

Use FOIL to solve (x+2) (x+2)

4(x^2 + 4x +4) - 6

4x^2 + 4x -2

8 0

3 years ago

A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 60% pure anti

Semenov [28]

Answer:

Step-by-step explanation:

Let x be the portion of 60%

180 - x is the portion of 40%

0.60x + 0.40(180 - x) = 0.55(180)

0.60x + 72 - 0.40x = 99

0.20x = 27

x = 135

180 - 135 = 45

First brand = 45 gallons of 40%

Second Brand = 135 gallons of 60%

4 0

3 years ago

The position of an object at time t is given by s(t) = -8 - 9t. Find the instantaneous velocity at t = 1 by finding the derivati

finlep [7]

Ughhh...the limit formula...this should be thrown in the trash the minute you start doing derivatives :P

(-8-9(t+d)-(-8-9t))/(t+d-t)

(-8-9t-9d+8+9t)/d

-9d/d (which is -9 for any value of d as well as when d approaches zero)

-9

So the instantaneous velocity is regardless of t or delta t

3 0

3 years ago

Read 2 more answers

What is 5π/6 radians converted to degrees? If necessary, round your answer to the nearest degree.

klemol [59]

Answer:

300 degrees

Step-by-step explanation:

we know that $\pi = 360 degrees$ $\pi = 360 \ degrees$