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Gnom [1K]
3 years ago
6

A doctor studies the known cancer patients in a certain town. The probability that a randomly chosen resident has cancer is foun

d to be 0.0019. It is found that 28% of the town works for Ajax Chemical Company. The probability that an employee of Ajax has cancer is equal to 0.0019. Are the events "has cancer" and "works for Ajax" independent of one another?
Yes or No
Mathematics
1 answer:
Alex777 [14]3 years ago
4 0
Let the event 'has cancer' be C, and the event 'works for Ajax' be A.
P(C) = 0.0019. P(A) = 0.28
The events A and C are independent if P(C|A) = P(C).
P(C|A) = 0.0019 = P(C).
Therefore the answer is YES.

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Simplify the problem 2/sqrt 5
AURORKA [14]
2/sqrt 5

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2/sqrt 5 × sqrt 5/sqrt 5

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hope this helps! :))))
7 0
3 years ago
Which of the following is true about a parallelogram? A. Opposite angles of a parallelogram are not congruent. B. Parallelograms
mafiozo [28]

Answer: The option is D.

Step-by-step explanation:

A line that intersects another line segment and separates it into two equal parts is called a bisector.

In a quadrangle, the line connecting two opposite corners is called a diagonal. We will show that in a parallelogram, each diagonal bisects the other diagonal.

Problem

ABCD is a parallelogram, and AC and BD are its two diagonals.  Show that AO = OC and that BO = OD

Strategy

Once again, since we are trying to show line segments are equal, we will use congruent triangles. And here, the triangles practically present themselves. Let’s start with showing that AO is equal in length to OC, by using the two triangles in which AO and OC are sides: ΔAOD and  ΔCOB.

There are all sorts of equal angles here that we can use. Several pairs of (equal) vertical angles, and several pairs of alternating angles created by a transversal line intersecting two parallel lines. So finding equal angles is not a problem. But we need at least one side, in addition to the angles, to show congruency.

As we have already proven, the opposite sides of a parallelogram are equal in size, giving us our needed side.

Once we show that ΔAOD and  ΔCOB are congruent, we will have the proof needed, not just for AO=OC, but for both diagonals, since BO and OD are alsocorresponding sides of these same congruent triangles.

ABCD is a parallelogram    

Given

AD || BC                                

From the definition of a parallelogram

AD = BC                                 Opposite sides of a parallelogram are equal in size

∠OBC ≅ ∠ODA                      Alternate Interior Angles Theorem, ∠OCB ≅ ∠OAD                      Alternate Interior Angles Theorem,

ΔOBC ≅ ΔODA                     

Angle-Side-Angle

BO=OD                                Corresponding sides in congruent triangles AO=OC                             Corresponding sides in congruent triangles.

5 0
3 years ago
2 less then 5 times a number
Alex

Answer:

5-2n

Step-by-step explanation:

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3 years ago
Pls help 490÷7+(57+7)÷8∙2−3∙(25−6) = math for 15 points correct will mark brain le est
makvit [3.9K]

when simpliyfying the answr is 29

8 0
2 years ago
Read 2 more answers
Which expression is equivalent to 6423?
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