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Nana76 [90]
2 years ago
13

A batch of 484 containers for frozen orange juice contains 7 that are defective. Two are selected, at random, without replacemen

t from the batch. a) What is the probability that the second one selected is defective given that the first one was defective? Round your answer to five decimal places (e.g. 98.76543).
Mathematics
1 answer:
11111nata11111 [884]2 years ago
4 0

Answer:

1.242% probability that the second one selected is defective given that the first one was defective

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have

484 containers

7 are defective

a) What is the probability that the second one selected is defective given that the first one was defective?

After the first one was selected(defective), we have

483 containers

6 defective

6/483 = 0.01242

0.01242 = 1.242% probability that the second one selected is defective given that the first one was defective

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Please help I'm lost.
vova2212 [387]

Part 1: Answer:

(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6

Step-by-step explanation:

To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.

(6+1)(6+1)(6-6) is zero.


Part 2 Answer:

Standard form: y = -x^4 + 12

Degree 4

left end goes down, right end goes down.

Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.


Part 3: Answer: x = 3, x = 8

Step by step:

x^2-11x = -24

x^2-11x+24 = 0

(x-3)(x-8) = 0

x = 3 or x = 8


Part 4a Answer:

quotient 2x^2 + x - 3

remainder 1


Step by step:

2x^2 + x - 3

___________________

x-4 ) 2x^3 - 7x^2 - 7x + 13

2x^3 - 8x^2

__________

0 + x^2 - 7x + 13

x^2 - 4x

____________

0 - 3x + 13

- 3x + 12

______

1


Part 4b answer:

quotient 2x^2 - 6x + 2

remainder -20


Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.


dividend 2x^3 +14x^2 - 58x

divisor x+10

leading coefficient of divisor must be 1

write coefficients of dividend at top

write coefficients of dividend at left


| 2 14 -58 0

-10 | -20 60 -20

___________

| 2 -6 2 -20

Coefficients of quotient are 2 -6 2

Remainder is -20

quotient = 2x^2 - 6x + 2



7 0
3 years ago
There was a seller of horses, who sold all his horses to three people. To the first man he sold half of all his horses and a hal
Nata [24]

Answer:

7

Step-by-step explanation:

3RD MAN: 1

2ND MAN: 2

1ST MAN: 4

3rd Man = 1/2+1/2 = 1

2nd Man = 1+1 = 2

1st Man = 2*2 = 4

7 0
2 years ago
Read 2 more answers
The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
Goryan [66]
Width of rectangle = x
Length =3x+7
Perimeter of rectangle = 158cm
2(l+w)=158
2(3x+7+x)=158
2(4x+7)=158
8x+14=158
8x=158-14
x=144/8
x=18
Therefore the width of the rectangle is 18cm
Length=3x+18+7
54+7=61cm
Area=lxw
=61x18
=1098^2
8 0
2 years ago
What is another name for irrational number?
maria [59]

Answer:

D

Step-by-step explanation:

Irrational numbers are reasonable and also real.

Surd is an example of an irrational numbers.

So as another name may be I go with option D

7 0
3 years ago
The answer key says the answer is B, but I don't understand how it is decreasing...isn't the velocity shown to be increasing? An
german

Answer:

Acceleration and velocity are two different things.  The acceleration is the rate at which the velocity is increasing.  So while the velocity very well may be increasing, the rate (acceleration) at which it is, is decreasing.

8 0
3 years ago
Read 2 more answers
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