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Verizon [17]
3 years ago
6

A dental insurance policy covers three procedures: orthodontics, filling, and extractions. During the life of the policy, the pr

obability that the policyholder needs: Orthodontic work is 1/2 Orthodontic work or a filling is 2/3 Orthodontic work or an extraction is 3/4 A filling and an extraction is 1/8 The need for orthodontic work is independent of the need for a filling and is independent of the need for an extraction. Calculate the probability that the policyholder will need a filling or an extraction during the life of the policy.
Mathematics
1 answer:
Alexxx [7]3 years ago
3 0

Answer: 0.71

Step-by-step explanation:

A="The policyholder needs Orthodontics"

B="The policyholder needs filling"

C="The policyholder needs extraction"

P(A)=1/2, P(AUB)=2/3, P(AUC)=3/4, P(B∩C)=1/8

The events are independents, so:

P(A∩B)=P(A)P(B), P(A∩C)=P(A)P(C) and P(B∩C)=P(B)P(C)

P(AUB) = P(A)+P(B)-P(A∩B) = P(A)+P(B)+P(A)P(B)

2/3=1/2+P(B)-1/2*P(B), P(B)=1/3

P(AUC) = P(A)+P(C)-P(A∩C) = P(A)+P(C)+P(A)P(C)

3/4=1/2+P(C)-1/2*P(C), P(C)=1/2

P(BUC)=P(B)+P(C)-P(B∩C)=1/3+1/2-1/8=17/24

P(BUC)=0.71

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Elis [28]

That is a question about perimeter of rectangle.

The perimeter of a geometric shape is the sum of the value of the all sides.

In a rectangle, the opposite sides are cogruentes (equals). For example, look at picture below. In that rectangle, the sides AB and DC are equals, and the sides AD and BC are equals.

So, the sides of that rectangular table are: 1.52m, 1.52m, 0.75m and 0.75.

Therefore, the perimeter of that rectangle is 1.52+1.52+0.75+0.75= 4.54m.

But that is not the final answer because that is the perimeter in meters and the question want the answer in centimeters.

1 meter has 100 centimeter, so we need to multiplicate the perimeter by 100.

Thus, the perimeter of that rectangular table is 4.54\cdot 100 = 454cm.

3 0
3 years ago
Find the prime factorization of each number.<br> 1. 50 =
Varvara68 [4.7K]

Answer:

1.5 is not a prime number

Step-by-step explanation:

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3 years ago
Larissa takes a dose of 4 drops of medicine every day, three times a day. One milliliter (mL) of the medicine contains about 20
professor190 [17]

Answer:

The bottle will last for 20 days.

Step-by-step explanation:

Given that:

Number of drops in a dose = 4 drops

Dose is taken three times a day, therefore,

Number of drops taken in a day = 4*3 = 12 drops

One milliliter = 20 drops

12 mL = 20*12 = 240 drops

Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.

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BRAINLIEST TO CORRECT HURRY
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Answer:

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Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. 6 sqrt 2
Gemiola [76]
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
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There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
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Another way to do it is the longer proof of Pythagorean Theorem:
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7 0
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