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STatiana [176]
3 years ago
11

An assembly line has two inspectors. The probability that the first inspector will miss a defective item is 0.06. If the defecti

ve item passes the first​ inspector, the probability that the second inspector will miss it is 0.07. What is the probability that a defective item will pass by both​ inspectors?
Mathematics
1 answer:
Novay_Z [31]3 years ago
7 0

Answer:

probability that both passes a defective item is  0.8742‬

<h3>Step-by-step explanation:</h3>

probability that the first inspector misses is Pr( 1st misses)= 0.06

therefore the probability he does not miss is

Pr(1st passes)= 1 - Pr( 1st misses) = 1 - 0.06 = 0.94

probability that the second misses is Pr( 2nd misses) = 0.07

therefore probability that 2nd does not miss is

Pr( 2nd passes) = 1- Pr( 2nd misses) = 0.93

probability that both passes a defective item is  Pr(1st passes)*Pr( 2nd passes)

= 0.93*0.94 = 0.8742‬

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If $4000 is borrowed at a rate of 16% interest
Gemiola [76]

Answer:

(a) $7492

(b) $10,253

(c) $14,032

Step-by-step explanation:

As we know, the final Amount can be calculated with the formula for compound interest,

A = P(1 + \frac{r}{n} )^{nt}

where,

A = Final Amount due

P = Initial principal amount borrowed

r = rate of interest in decimal

n = number of times applied per time period

t = total time period

Now, according to the given data,

(a) in 4 years ;-

⇒ A = 4000(1 + \frac{0.16}{4} )^{4(4)}

⇒ A = 7492

(b) in 6 years ;-

⇒ A = 4000(1 + \frac{0.16}{4} )^{4(6)}

⇒ A = 10,253

(c) in 8 years ;-

⇒ A = 4000(1 + \frac{0.16}{4} )^{4(8)}

⇒ A = 14,032

6 0
3 years ago
I really need help!Please help me!
solniwko [45]

Answer:

Photomath

Step-by-step explanation:

It looks like someone else is answering this for me so I'll just give ya a nudge. In the future as long as you can put it into an equation Photo math helped me a lot in Middle and Highschool.

5 0
3 years ago
Solve this equation. Enter your answer in the box.<br> 13(y+7)=3(y−1).
Fofino [41]

★To Solve :

\rm\blue{13(y+7) = 3(y-1)}

⠀⠀⠀⠀⠀

★SOLUTION :

\rm\red\leadsto{13(y+7) = 3(y-1)}

\rm\red\leadsto{13\times{y}+13\times7= 3\times{y}-3\times1}

\rm\red\leadsto{13y+91=3y-3}

\rm\red\leadsto{13y-3y=-3-91}

\rm\red\leadsto{10y=-94}

\rm\red\leadsto{} y =\dfrac{   { \cancel{-94}}^{ \:-45 } }{   { \cancel{10}}^{ \: 5} }

\rm\red\leadsto{y=}\dfrac{-47}{5}

____________________

5 0
3 years ago
Read 2 more answers
Can some please help me with this one it would be much appreciated
kherson [118]

πAnswer:

Therefore, the area of a sector of a circle would be 13.5π square units.              

Step-by-step explanation:

Given

  • r=9 mi
  • Ф = 60°

The area of a sector of a circle is:

A = π r² Ф/360

A = π (9)² 60/360

A = π 81 * 1/6

A = 13.5π square units

Therefore, the area of a sector of a circle would be 13.5π square units.                        

7 0
2 years ago
Problem page the length of a rectangle is four times its width. if the perimeter of the rectangle is 70 cm , find its area.
agasfer [191]
So we can call the width of the rectangle x.
So then the length would be 4x.
The perimeter would then be 10x.
Since the perimeter is 70, we can say 70 = 10x.
And then simplify that to 7 = x.
So the length of a rectangle would be 28 cm, and the width would be 7.
So to find the area, just multiply length by width.
28*7 = 196 square cm
So the rectangle's area is 196 square cm.

I hope I helped!
5 0
3 years ago
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