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Thepotemich [5.8K]
3 years ago
15

An inspection procedure at a manufacturing plant involves picking three items at random and then accepting the whole lot if AT L

EAST 2 of the three items are in perfect condition. If in reality 84% of the whole lot are perfect, what is the probability that the lot will be accepted?
Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

We use the Binomial Distribution   where p =.84 then probability will be 0.931.

Step-by-step explanation:

P(X≥ 2) = P(X=2) + P (X=3)

           = (³₂)(.84)^2(.16) +  (³3)(.84)^3(.16)⁰

           ≅ 0.931

Hence 0.931 is the answer.

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Select all the points that are on the line through LaTeX: (0,5)( 0 , 5 ) and LaTeX: (2,8)( 2 , 8 ). Group of answer choices LaTe
Ivenika [448]

Answer:

The points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).

Step-by-step explanation:

The equation of the line passing through two points (x_1,y_1) and (x_2,y_2) is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

So, the equation of the line passing through two points (0,5) and ( 2, 8 ) is

y-5=\frac{8-5}{2-0}(x-0)

\Rightarrow y=1.5x+5\cdots(i)

For the point (4,11), pout x=4 in equation (i), we have

y=1.5\times4 +5=11, which is given y coordinate, hence this point (4,11) lies on the line.

For the point (5,10), pout x=5 in equation (i), we have

y=1.5\times5 +5=12.5, which is not the given y coordinate, hence the point (5,10) doesn't lie on the line.

For the point (6,14), pout x=6 in equation (i), we have

y=1.5\times6 +5=14, which is the given y coordinate, hence the point (6,14)  lies on the line.

For the point (30,50), pout x=30 in equation (i), we have

y=1.5\times30 +5=50, which is the given y coordinate, hence the point (30,50) lies on the line.

For the point (40,60), pout x=40 in equation (i), we have

y=1.5\times40 +5=65, which is not the given y coordinate, hence the point (40,60) doesn't lie on the line.

Hence, the points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).

4 0
3 years ago
14gal/s is equal to how many quarts a minute
blagie [28]
4 quarts = 1 gallon, so 14 gal is equal to 56 quarts. So 56 quarts per second, times 60 seconds equals 3360 quarts per minute. Hope this helped!
7 0
4 years ago
Determine the unknown measures of the triangle shown. Round to the nearest tenth, if necessary
allochka39001 [22]
I think the answer is even though im not sure but here it is anyway
x=20
y=40
z=60
can i get brainiest answer

3 0
4 years ago
Read 2 more answers
Work out the size of an interior angle of a regular polygon with 24 sides.
Effectus [21]

Answer:

15 degrees

Step-by-step explanation:

To answer this, divide 360 degrees by 24 sides.

You'll get 15 degrees.

7 0
3 years ago
To find 19+11+37 Lenny added 1911 then she added 37 to the sun what property did he use
antiseptic1488 [7]
Associative because Lenny is grouping things together to make adding easier
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3 years ago
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