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olchik [2.2K]
3 years ago
8

The probability that a given urine sample analyzed in a pathology lab contains protein is 0.73 (event A). The probability that t

he urine sample contains the protein albumin is 0.58 (event B). The probability that a sample contains protein, given that albumin is detected, is 1.
Which statement is true?

Events A and B are dependent because P(A|B) = P(A).

Events A and B are dependent because P(A| B) P(B).

Events A and B are dependent because P(A|B) = P(A) + P(B).

Events A and B are dependent because P(A| B) P(A).

Events A and B are dependent because P(A|B) = P(A).
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
6 0
The correct answer among the choices provided is the second option. Events A and B are dependent because P(A|B) P(B). And from conditional probability, we have P(A|B) = P(AintersectionB) / P(B).
Therefore, P (AintersectionB) is equal to P(A|B) × P(B).
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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. C = 71°, a = 27, c = 26
guajiro [1.7K]

We have

SinC/ c  = Sin A / a

Sin 71/ 26 = Sin A / 27

Sin A  = 27 Sin 71 /  26  = about .982

So°

Sin-1(.982)  = A  = 79. 08°

Then angle B = 180 - 71 - 79.08 = 29.92°

And b is given by

b/sin29.92  = 26/sin 71

b = 26sin29.92/sin71 =  about 13.72

But A could also be an obtuse angle = 180 - 79.08 =  100.92°

So we have

B = 180 - 71 - 100.92 = 8.08°

And we have

b / sin 8.08  = 26/sin71

b = 26sin8.08/sin 71 = 3.865

8 0
3 years ago
James had a large bag of raisins. He ate
polet [3.4K]

Answer:

1/12

Step-by-step explanation:

3/4=9/12

12/12-9/12=3/12

(3/12)/3=1/12

6 0
2 years ago
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Simplify the following by removing parentheses and combining terms<br> -(2q+6)+3(2q+4)-2q
Gelneren [198K]

Answer:

2q+6

Step-by-step explanation:

So basically, you would do this.

-2q-6+6q+12-2q

Next

-4q+6q = 2q

12-6=6

2q+6

7 0
2 years ago
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Question
Aleonysh [2.5K]

Answer:

\large \boxed{-40, \ 4, \ -4}

Step-by-step explanation:

f(x)=-9x+14

\sf Put \ x \ as \ 6.

f(6)=-9(6)+14

f(6)=-54+14

f(6)=-40

g(x)=-3x^2

\sf Put \ g(x) \ as \ -48.

-48=-3x^2

\displaystyle \frac{-48}{-3} =\frac{-3x^2 }{-3}

16=x^2

\sqrt{16} =\sqrt{x^2 }

x= \pm 4

6 0
3 years ago
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Parker is planning to build a playhouse for his sister.The scaled model below gives the reduced measures for width and height. H
kipiarov [429]

Answer:

The cross multiplication would be 10(350) = 22(x).

Step-by-step explanation:

We would first convert meters to centimeters.  There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.

The ratio of the height to base of the model is 10/22.  The ratio of the playhouse would then be x/350.  This gives us

10/22 = x/350

Cross multiplying, we would have 10(350) = 22(x).

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3 years ago
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