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statuscvo [17]
3 years ago
12

Let D be the event that a randomly chosen person has seen a dermatologist. Let S be the event that a randomly chosen person has

had surgery for skin cancer. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.Select the correct answer below:A. P(D|S)B. P(D AND S)C. P(S) AND P(D)D. P(S|D)
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Given:

D be the event that a randomly chosen person has seen a dermatologist.

S be the event that a randomly chosen person has had surgery for skin cancer.

To find:

The correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.

Solution:

Conditional probability: Probability of A given B is:

P(A|B)=\dfrac{P(A\cap B)}{P(B)}

Let D be the event that a randomly chosen person has seen a dermatologist.

Let S be the event that a randomly chosen person has had surgery for skin cancer.

Using the conditional probability, the correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist is P(S|D).

Therefore, the correct option is D.

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WILL GIVE BRAINLIEST IF ANSWERED PROPERLY :
tatuchka [14]

Answer:

£121

Step-by-step explanation:

5/12 of the total coins = 5/12 x 96 = 40   ⇒   40 coins are £2 coins

26 of the coins are £1 coins

Number of 50p coins = 96 - 40 - 26 = 30  ⇒  30 of the coins are 50p coins

Total money collected = 40 x £2 + 26 x £1 + 30 x £0.50 = £121

(rememberinf to convert 50p into £s)

6 0
3 years ago
Use the Pythagorean Theorem to find the missing length in the right triangle
Gelneren [198K]

Answer:

it depends

Step-by-step explanation:

If 17 is the hypotenuse

c=17\\\\b=12\\\\a=?\\\\c^{2} =a^2+b^2\\\\17^2=a^2+12^2\\\\17^2-12^2=a^2\\\\(17-12)(17+12)=a^2\\\\5(27)=a^2\\\\a=\sqrt{9*3*5} \\\\a=3\sqrt{15} \\\\a=11.6

if you are looking for the hypotenuse

a=17\\\\b=12\\\\c=?\\\\a^2+b^2=c^2\\\\17^2+12^2=c^2\\\\289+144=c^2\\\\433=c^2\\\\c=\sqrt{433} \\\\c=20.8

8 0
3 years ago
123×22 <br>44 ×7<br>110 × 2 ÷10​
Alexeev081 [22]

Answer:

458396400

Step-by-step explanation:

123 x 22 x 44 x 7 x 110 x 5

2706 x 44 x 7 x 110 x 5

2706 x 308 x 110 x 5

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458396400

3 0
3 years ago
Read 2 more answers
Graph the following equation on the graph C = 7250 + 205s
Kazeer [188]

Answer:

  see attached

Step-by-step explanation:

This is a difficult graph to make, because none of the points are on any grid intersections.

At the left (s=0), it starts 1/4 of the distance up from 7000 toward 8000.

At the right (s=10), it crosses 3/10 of the distance up from 9000 toward 10,000.

3 0
3 years ago
Match each complex number with its equivalent expression i^157 i^315 i^102 i^76
ryzh [129]

Answers:

i^{157} = i\\\\i^{315} = -i\\\\i^{102} = -1\\\\i^{76} = 1\\\\

=====================================================

Explanation:

By definition, i = \sqrt{-1}

Squaring both sides gets us i^2 = -1

Then multiply both sides by i to get i^3 = -i

Repeat the last step and you should get i^4 = -i^2 = -(-1) = 1

---------------

Notice we have this pattern going on:

i^0 = 1\\\\i^1 = i\\\\i^2 = -1\\\\i^3 = -i\\\\i^4 = 1\\\\

Once we reach i^4, we start the process over again.

It repeats every 4 terms.

This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.

157/4 = 39 remainder 1

That remainder 1 is the exponent of the simplified term

i^{157} = i^1 = i

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Similarly,

315/4 = 78 remainder 3

So i^{315} = i^3 = -i

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102/4 = 25 remainder 2

i^{102} = i^2 = -1

----------------

76/4 = 19 remainder 0

i^{76} = i^0 = 1

8 0
2 years ago
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